Bare and Induced Lorentz and CPT Invariance Violations in Qed

Alfaro, Jorge; Andrianov, Alexander A.; Cambiaso, M.; Giacconi, P.; Soldati, Roberto

doi:10.1142/s0217751x10049293

Cited by 97 publications

(57 citation statements)

References 105 publications

(164 reference statements)

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“…The appearance of this term in the energy density can introduce instability in the theory [21,22], and it can be resolved by requiring that only spacelike components of k μ are nonzero. However, this condition depends on the observer frame, so even an infinitesimal boost to another observer frame would reintroduce instability.…”

Section: Lorentz-violating Electrodynamicsmentioning

confidence: 99%

Casimir effect in presence of spontaneous Lorentz symmetry breaking

Escobar

2018

J. Phys.: Conf. Ser.

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Abstract. The Casimir effect is one of the most remarkable consequences of the nonzero vacuum energy predicted by quantum field theory. In this contribution we study the Lorentzviolation effects of the minimal standard-model extension on the Casimir force between two parallel conducting plates in the vacuum. Using a perturbative method, we compute the relevant Green's function which satisfies given boundary conditions. The standard pointsplitting technique allow us to express the vacuum expectation value of the stress-energy tensor in terms of this Green's function. Finally, we study the Casimir energy and the Casimir force paying particular attention to the quantum effects as approaching the plates.

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Section: Lorentz-violating Electrodynamicsmentioning

confidence: 99%

Casimir effect in presence of spontaneous Lorentz symmetry breaking

Escobar

2018

J. Phys.: Conf. Ser.

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“…The general solutions of the equations for the Maxwell-Chern-Simons free quantum field, have been extensively discussed and applied in [72,73] for the massive case and in [14] for the massless case. However, in the light of the present applications it's better to shortly overview this topic.…”

Section: The Chern-simons Limit For the Pseudoscalar Backgroundmentioning

confidence: 99%

“…Here we aim to develop a rather general frame which could allow to readily interplay among the massive, massless, temporal and spatial cases, as we shall specify in the sequel. The starting point is the rank-two symmetric matrix [72] …”

Section: Canonical Quantization Of the Maxwell-chern-simons Fieldmentioning

confidence: 99%

“…, that specifies the polarization vector ε µ − (k − ) of negative chirality, turns out to stay within the causal cone k 2 − > 0 iff the spatial momentum is below an ultraviolet cutoff, i.e., | k | < m 2 /|ζ 0 | in the temporal case or | k | < m 2 /|ζ x | for the spatial Chern-Simons vector [14,72,74]. Furthermore, the above birefringent dispersion relations fulfilled by the chiral polarizations do admit quite different massless limits as discussed in [14].…”

Section: Canonical Quantization Of the Maxwell-chern-simons Fieldmentioning

confidence: 99%

“…It is very important to keep in mind [72,73] that the on mass shell polarization vector ε µ − (k − ) with k 2 − > 0 is well defined iff the spatial momentum k keeps below the momentum cutoff, i.e., inside the large momentum sphere |k| < m 2 /ζ ≡ Λ, where ζ stands for either |ζ 0 | or |ζ x |. Now, in order to fully implement the canonical quantization of the MCS massive vector field for the especially simple choice κ = 1, it is convenient to introduce the polarized plane waves according to…”

Section: Canonical Quantization Of the Maxwell-chern-simons Fieldmentioning

confidence: 99%

See 2 more Smart Citations

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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Renormalization of Very Special Relativity gauge theories

Alfaro

2023

J. High Energ. Phys.

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Mandelstam-Leibbrandt (ML) regularization of Very Special Relativity (VSR) amplitudes in momentum space depends on two fixed null vectors nμ, $$ {\overline{n}}_{\mu } $$ n ¯ μ besides external momenta. ML is known to preserve gauge invariance and naive power counting. The second null vector $$ {\overline{n}}_{\mu } $$ n ¯ μ destroys the Sim(2) symmetry of the VSR model. We devise a systematic procedure to take the $$ {\overline{n}}_{\mu } $$ n ¯ μ → 0 limit to recover the lost Sim(2) symmetry. The procedure produces Sim(2) and gauge invariant loop amplitudes. We show how to use this method to remove unphysical terms from the Non Relativistic Potential of Very Special Relativity Quantum Electrodynamics (VSR QED) with a massive photon. Then we compute the one loop renormalization of VSR QED. Finally we derive the anomalous magnetic moment of the electron, modified by neutrino and photon mass; and comments on the phenomenological implications.

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Bare and Induced Lorentz and CPT Invariance Violations in Qed

Cited by 97 publications

References 105 publications

Casimir effect in presence of spontaneous Lorentz symmetry breaking

Casimir effect in presence of spontaneous Lorentz symmetry breaking

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

Renormalization of Very Special Relativity gauge theories

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