Lorentz symmetry breaking in Abelian vector-field models with Wess-Zumino interaction

Andrianov, Alexander A.; Soldati, Roberto

doi:10.1103/physrevd.51.5961

Cited by 94 publications

(85 citation statements)

References 20 publications

(9 reference statements)

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“…The possibility of a vacuum that breaks LI and has non-trivial optical properties has already been investigated in [29,30]. This work, however, deals with significantly more complicated models, both in terms of the interactions that spontaneously break LI and of the optical properties of the resulting vacuum.…”

Section: Phenomenology Of Lorentz Violation By a Background Sourcementioning

confidence: 99%

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Spontaneous breaking of Lorentz invariance

Jenkins

2004

Phys. Rev. D

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We describe how a stable effective theory in which particles of the same fermion number attract may spontaneously break Lorentz invariance by giving a non-zero fermion number density to the vacuum (and therefore dynamically generating a chemical potential term). This mechanism yields a finite vacuum expectation value ψ γ µ ψ , which we consider in the context of proposed models that require such a breaking of Lorentz invariance in order to yield composite degrees of freedom that act approximately like gauge bosons. We also make general remarks about how the background source provided by ψ γ µ ψ could relate to work on signals of Lorentz violation in electrodynamics.

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Section: Phenomenology Of Lorentz Violation By a Background Sourcementioning

confidence: 99%

“…(30) gives it a finite time-like VEV, which would imply a finite VEV forψγ µ ψ in the theory of Eq. (29). We argued in the previous section that g must be large for the theory described by Eq.…”

Section: Consequences For Emergent Photonsmentioning

confidence: 99%

Spontaneous breaking of Lorentz invariance

Jenkins

2004

Phys. Rev. D

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“…In the case of the fields A 1 µ and A 2 µ , the propagator was studied in the reference [26]. The conclusions on the c µ vector were the same as in [3], [8], [11]: it must be spacelike. So, the quantization of our non-Abelian theory can be carried out without problems provided that c µ is spacelike.…”

Section: Concluding Commentsmentioning

confidence: 99%

“…We thus find two kinds of propagators, when spontaneous symmetry breaking takes place: one for the massless field A 3 µ , which is in the internal direction of the U(1) remnant symmetry, and another for the massive, A 1 µ and A 2 µ , fields. The quantization consistency for a theory with the propagator for the massless A 3 µ -field was analyzed in the paper [3], [8], [11]. In these work, aspects like unitarity and microcausality were considered and the unique possibility of a consistent theory is the one in which the external vector, c µ , is spacelike.…”

Section: Concluding Commentsmentioning

confidence: 99%

“…In the case of the action corresponding to the 3-component, the authors of [3], [8], [11] study the implications on the unitarity and causality of the theory in the cases where, for small magnitudes, c µ is time-like and space-like. The analysis shows that the behavior of these gauge field theories depends drastically on the space-time properties of c µ .…”

Section: The Non-abelian Lorentz-breaking Gauge-higgs Modelmentioning

confidence: 99%

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Lorentz-violating SO(3) model: Discussing unitarity, causality, and ’t Hooft-Polyakov monopoles

Scarpelli

Helayël-Neto

2006

Phys. Rev. D

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In this paper, we extend the analysis of the Lorentz-violating Quantum Electrodynamics to the non-Abelian case: an SO(3) Yang-Mills Lagrangian with the addition of the non-Abelian ChernSimons-type term. We consider the spontaneous symmetry breaking of the model and inspect its spectrum in order to check if unitarity and causality are respected. An analysis of the topological structure is also carried out and we show that a 't Hooft-Polyakov solution for monopoles is still present.

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Propagation of photons and massive vector mesons between a parity breaking medium and vacuum

Andrianov

Kolevatov

Soldati

2011

J. High Energ. Phys.

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Abstract:The problem of propagation of photons and massive vector mesons in the presence of Lorenz and CPT invariance violating medium is studied when the parity-odd medium is bounded by a hyperplane separating it from the vacuum. The solutions in both half-spaces are carefully discussed and in the case of space-like boundary stitched on the boundary with help of the Bogolubov transformations provided by the space-like ChernSimons vector. The presence of two different Fock vacua is shown and the probability amplitude for transmission of particles from vacuum to parity breaking medium is calculated. We have also found classical solutions and showed that the results are consistent with ones obtained by canonical quantization formalism. In the cases, both of entrance to and of escaping from parity-odd medium, the probabilities for reflecting and passing through were found for each polarization using the classical solutions. Finally, the propagator for each polarization is obtained in the momentum space. Boundary effects under consideration are of certain importance for registration of local parity violation in the finite volume of heavy ion fireball and/or of a star with cold axion condensate.

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Lorentz symmetry breaking in Abelian vector-field models with Wess-Zumino interaction

Cited by 94 publications

References 20 publications

Spontaneous breaking of Lorentz invariance

Spontaneous breaking of Lorentz invariance

Lorentz-violating SO(3) model: Discussing unitarity, causality, and ’t Hooft-Polyakov monopoles

Propagation of photons and massive vector mesons between a parity breaking medium and vacuum

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