We present a second order gravity action which consists of ordinary Einstein action augmented by ... more We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneuosly broken.
A recently introduced approach for the dynamical analysis and quantization of field theoretical m... more A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of linerized gravity in 3-D, the intermediate and the self dual models, is discussed in detail. It is shown that the first order self dual model whose constraints are all second class may be regarded as a gauge fixed version of the second order gauge invariant intermediate model. In particular it is shown how to construct the gauge invariant hamiltonian of the intermediate model starting from the one of the self dual model. The relation with the t opologically massive linearized gravity is also discussed.
We present a unified analysis of the self-dual, second order, topologically massive and the recen... more We present a unified analysis of the self-dual, second order, topologically massive and the recently introduced fourth order models of massive gravity in 3D. We show that there is a family of first order actions which interpolate between these different single excitation models. We show how the master actions are related by duality transformation. We construct by the same method the master action which relates the fourth order new massive model with two excitations and the usual second order model with Fierz-Pauli mass. We show that the more general model obtained by adding a Chern-Simons term to the new massive model is equivalent off shell to the second order spontaneously broken linearized massive gravity.
We study the connection, at the quantum level, between d = 2 + 1 dimensional self-dual models wit... more We study the connection, at the quantum level, between d = 2 + 1 dimensional self-dual models with actions of growing (from first to fourth) order, governing the dynamics of helicity ±2 massive excitations. We obtain identities between generating functionals of the different models using the path-integral framework, this allowing to establish dual maps among relevant vacuum expectation values. We check consistency of these v.e.v.'s with the gauge invariance gained in each mapping.
The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional fla... more The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional flat space-time and its extension to a curved one, are performed. Demanding consistence of degrees of freedom in the model with gravitational interaction, gives rise to physical restrictions on non minimal coupling terms and background. Finally, a constant curvature scenario is explored, showing the existence of forbidden mass values. Causality in these spaces is discussed. Aspects related with the construction of the reduced action and the one-particle exchange amplitude, are noted.
Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geomet... more Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model consists of open-strings interacting through a Kalb-Ramond field in four dimensions. The geometric representation proposed uses lines and surfaces that can be interpreted as an extension of the picture of Faraday's lines of classical electromagnetism. This representation results to be consistent, provided the coupling constant (the "charge" of the string) is quantized. The Schrödinger equation in this representation is also presented.
Se considera el modelo de Cremmer-Scherck, generalizado, en contraposición con el modelo de Proca... more Se considera el modelo de Cremmer-Scherck, generalizado, en contraposición con el modelo de Proca en dimensiones mayores que 3+1. Se muestra que el modelo de Proca es una versión de la de Cremmer y Scherck con el calibre fijado, además se muestra la equivalencia canónica entre estos.
Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geomet... more Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model comprises openstrings interacting through a Kalb-Ramond field in four dimensions. It is shown that a consistent
The Poisson algebra between the fields involved in the vectorial selfdual action is obtained by m... more The Poisson algebra between the fields involved in the vectorial selfdual action is obtained by means of the reduced action. The conserved charges associated with the invariance under the inhomogeneous Lorentz group are obtained and its action on the fields. The covariance of the theory is proved using the Schwinger-Dirac algebra. The spin of the excitations is discussed.
A massive gauge invariant formulation for scalar (φ) and antisymmetric (C mnp ) fields with a top... more A massive gauge invariant formulation for scalar (φ) and antisymmetric (C mnp ) fields with a topological coupling, which provides a mass for the axion field, is considered. The dual and local equivalence with the nongauge invariant proposal is established, but on manifolds with non-trivial topological structure both formulations are not globally equivalent.
A recently introduced approach for the dynamical analysis and quantization of field theoretical m... more A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of linerized gravity in 3-D, the intermediate and the self dual models, is discussed in detail. It is shown that the first order self dual model whose constraints are all second class may be regarded as a gauge fixed version of the second order gauge invariant intermediate model. In particular it is shown how to construct the gauge invariant hamiltonian of the intermediate model starting from the one of the self dual model. The relation with the t opologically massive linearized gravity is also discussed.
Using a standard procedure we obtain from the pure gauge theory of Nambu for 3-forms, two interac... more Using a standard procedure we obtain from the pure gauge theory of Nambu for 3-forms, two interaction theories between three antisymmetric gauge fields of different ranks. These theories are non-equivalent and describe the same dynamical system at the classical level. They could be interpreted as describing the interaction between charged and closed strings.
We use the group of Abelian surfaces to develop a gauge-independent quantization for the two-inde... more We use the group of Abelian surfaces to develop a gauge-independent quantization for the two-index antisymmetric potential. An exact solution is found for the vacuum and the photon state, and a regularization scheme is proposed.
The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional fla... more The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional flat space-time and its extension to a curved one, are performed. Demanding consistence of degrees of freedom in the model with gravitational interaction, gives rise to physical restrictions on non minimal coupling terms and background. Finally, a constant curvature scenario is explored, showing the existence of forbidden mass values. Causality in these spaces is discussed. Aspects related with the construction of the reduced action and the one-particle exchange amplitude, are noted.
We present a second order gravity action which consists of ordinary Einstein action augmented by ... more We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneuosly broken. We perform the light-front (LF) analysis for both the linearized system and the exact curved model. In constrast to the 2+1 canonical analysis, in the quasi LF coordinates the differential constraints can be solved. Its solution is presented here.
We present a second-order gravity action which consists of ordinary Einstein action augmented by ... more We present a second-order gravity action which consists of ordinary Einstein action augmented by a first-order, vectorlike, Chern-Simons quasitopological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneously broken.
The authors show that the massive spin-two system formed by the addition of second order lineariz... more The authors show that the massive spin-two system formed by the addition of second order linearized Einstein action and first order self dual gravity contains spin-1 ghosts, although it has the same structure as the similar Maxwell-Chern-Simons massive action arising from spontaneous symmetry breaking in abelian vector systems. The addition of an auxiliary self-dual ghost-killing field restores the pure massive spin-two content of the system which has a non degenerate mass spectrum. The authors also present the massive pure spin-3 self-dual action which needs the presence of both an auxiliary self-dual vector field and a scalar-field.
The authors show that the massive spin-two system formed by the addition of second order lineariz... more The authors show that the massive spin-two system formed by the addition of second order linearized Einstein action and first order self dual gravity contains spin-1 ghosts, although it has the same structure as the similar Maxwell-Chern-Simons massive action arising from spontaneous symmetry breaking in abelian vector systems. The addition of an auxiliary self-dual ghost-killing field restores the pure massive spin-two content of the system which has a non degenerate mass spectrum. The authors also present the massive pure spin-3 self-dual action which needs the presence of both an auxiliary self-dual vector field and a scalar-field.
We present a second order gravity action which consists of ordinary Einstein action augmented by ... more We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneuosly broken.
A recently introduced approach for the dynamical analysis and quantization of field theoretical m... more A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of linerized gravity in 3-D, the intermediate and the self dual models, is discussed in detail. It is shown that the first order self dual model whose constraints are all second class may be regarded as a gauge fixed version of the second order gauge invariant intermediate model. In particular it is shown how to construct the gauge invariant hamiltonian of the intermediate model starting from the one of the self dual model. The relation with the t opologically massive linearized gravity is also discussed.
We present a unified analysis of the self-dual, second order, topologically massive and the recen... more We present a unified analysis of the self-dual, second order, topologically massive and the recently introduced fourth order models of massive gravity in 3D. We show that there is a family of first order actions which interpolate between these different single excitation models. We show how the master actions are related by duality transformation. We construct by the same method the master action which relates the fourth order new massive model with two excitations and the usual second order model with Fierz-Pauli mass. We show that the more general model obtained by adding a Chern-Simons term to the new massive model is equivalent off shell to the second order spontaneously broken linearized massive gravity.
We study the connection, at the quantum level, between d = 2 + 1 dimensional self-dual models wit... more We study the connection, at the quantum level, between d = 2 + 1 dimensional self-dual models with actions of growing (from first to fourth) order, governing the dynamics of helicity ±2 massive excitations. We obtain identities between generating functionals of the different models using the path-integral framework, this allowing to establish dual maps among relevant vacuum expectation values. We check consistency of these v.e.v.'s with the gauge invariance gained in each mapping.
The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional fla... more The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional flat space-time and its extension to a curved one, are performed. Demanding consistence of degrees of freedom in the model with gravitational interaction, gives rise to physical restrictions on non minimal coupling terms and background. Finally, a constant curvature scenario is explored, showing the existence of forbidden mass values. Causality in these spaces is discussed. Aspects related with the construction of the reduced action and the one-particle exchange amplitude, are noted.
Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geomet... more Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model consists of open-strings interacting through a Kalb-Ramond field in four dimensions. The geometric representation proposed uses lines and surfaces that can be interpreted as an extension of the picture of Faraday's lines of classical electromagnetism. This representation results to be consistent, provided the coupling constant (the "charge" of the string) is quantized. The Schrödinger equation in this representation is also presented.
Se considera el modelo de Cremmer-Scherck, generalizado, en contraposición con el modelo de Proca... more Se considera el modelo de Cremmer-Scherck, generalizado, en contraposición con el modelo de Proca en dimensiones mayores que 3+1. Se muestra que el modelo de Proca es una versión de la de Cremmer y Scherck con el calibre fijado, además se muestra la equivalencia canónica entre estos.
Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geomet... more Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model comprises openstrings interacting through a Kalb-Ramond field in four dimensions. It is shown that a consistent
The Poisson algebra between the fields involved in the vectorial selfdual action is obtained by m... more The Poisson algebra between the fields involved in the vectorial selfdual action is obtained by means of the reduced action. The conserved charges associated with the invariance under the inhomogeneous Lorentz group are obtained and its action on the fields. The covariance of the theory is proved using the Schwinger-Dirac algebra. The spin of the excitations is discussed.
A massive gauge invariant formulation for scalar (φ) and antisymmetric (C mnp ) fields with a top... more A massive gauge invariant formulation for scalar (φ) and antisymmetric (C mnp ) fields with a topological coupling, which provides a mass for the axion field, is considered. The dual and local equivalence with the nongauge invariant proposal is established, but on manifolds with non-trivial topological structure both formulations are not globally equivalent.
A recently introduced approach for the dynamical analysis and quantization of field theoretical m... more A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of linerized gravity in 3-D, the intermediate and the self dual models, is discussed in detail. It is shown that the first order self dual model whose constraints are all second class may be regarded as a gauge fixed version of the second order gauge invariant intermediate model. In particular it is shown how to construct the gauge invariant hamiltonian of the intermediate model starting from the one of the self dual model. The relation with the t opologically massive linearized gravity is also discussed.
Using a standard procedure we obtain from the pure gauge theory of Nambu for 3-forms, two interac... more Using a standard procedure we obtain from the pure gauge theory of Nambu for 3-forms, two interaction theories between three antisymmetric gauge fields of different ranks. These theories are non-equivalent and describe the same dynamical system at the classical level. They could be interpreted as describing the interaction between charged and closed strings.
We use the group of Abelian surfaces to develop a gauge-independent quantization for the two-inde... more We use the group of Abelian surfaces to develop a gauge-independent quantization for the two-index antisymmetric potential. An exact solution is found for the vacuum and the photon state, and a regularization scheme is proposed.
The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional fla... more The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional flat space-time and its extension to a curved one, are performed. Demanding consistence of degrees of freedom in the model with gravitational interaction, gives rise to physical restrictions on non minimal coupling terms and background. Finally, a constant curvature scenario is explored, showing the existence of forbidden mass values. Causality in these spaces is discussed. Aspects related with the construction of the reduced action and the one-particle exchange amplitude, are noted.
We present a second order gravity action which consists of ordinary Einstein action augmented by ... more We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneuosly broken. We perform the light-front (LF) analysis for both the linearized system and the exact curved model. In constrast to the 2+1 canonical analysis, in the quasi LF coordinates the differential constraints can be solved. Its solution is presented here.
We present a second-order gravity action which consists of ordinary Einstein action augmented by ... more We present a second-order gravity action which consists of ordinary Einstein action augmented by a first-order, vectorlike, Chern-Simons quasitopological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneously broken.
The authors show that the massive spin-two system formed by the addition of second order lineariz... more The authors show that the massive spin-two system formed by the addition of second order linearized Einstein action and first order self dual gravity contains spin-1 ghosts, although it has the same structure as the similar Maxwell-Chern-Simons massive action arising from spontaneous symmetry breaking in abelian vector systems. The addition of an auxiliary self-dual ghost-killing field restores the pure massive spin-two content of the system which has a non degenerate mass spectrum. The authors also present the massive pure spin-3 self-dual action which needs the presence of both an auxiliary self-dual vector field and a scalar-field.
The authors show that the massive spin-two system formed by the addition of second order lineariz... more The authors show that the massive spin-two system formed by the addition of second order linearized Einstein action and first order self dual gravity contains spin-1 ghosts, although it has the same structure as the similar Maxwell-Chern-Simons massive action arising from spontaneous symmetry breaking in abelian vector systems. The addition of an auxiliary self-dual ghost-killing field restores the pure massive spin-two content of the system which has a non degenerate mass spectrum. The authors also present the massive pure spin-3 self-dual action which needs the presence of both an auxiliary self-dual vector field and a scalar-field.
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Papers by Pio J Arias