Quantum field theory based on birefringent modified Maxwell theory

Schreck, Marco

doi:10.1103/physrevd.89.085013

Cited by 41 publications

(42 citation statements)

References 98 publications

(159 reference statements)

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“…The theoretical properties of the SME at tree-level were investigated in a large series of papers [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42], while radiative corrections were studied in [43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61]. The authors of [26] examined properties of the minimal fermion sector in general, whereas [28] is dedicated to the minimal a and b coefficients.…”

Section: Introductionmentioning

confidence: 99%

Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators

Reis

Schreck

2017

Phys. Rev. D

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The Standard-Model Extension (SME) parameterizes all possible Lorentz-violating contributions to the Standard Model and General Relativity. It can be considered as an effective framework to describe possible quantum-gravity effects for energies much below the Planck energy. In the current paper, the spin-nondegenerate operators of the SME fermion sector are the focus. The propagators, energies, and solutions to the modified Dirac equation are obtained for several families of coefficients including nonminimal ones. The particle energies and spinors are computed at first order in Lorentz violation and, with the optical theorem, they are shown to be consistent with the propagators. The optical theorem is then also used to derive the matrices formed from a spinor and its Dirac conjugate at all orders in Lorentz violation. The results are the first explicit ones derived for the spin-nondegenerate operators. They will prove helpful for future phenomenological calculations in the SME that rely on the footing of quantum field theory.

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Section: Introductionmentioning

confidence: 99%

Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators

Reis

Schreck

2017

Phys. Rev. D

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“…Finally g (1) is determined by requiring that the right side of this equation is rendered finite by extracting the field renormalisation factors Z −1 Z −1/2 q , implying…”

Section: Renormalisation Of Coupling Constantmentioning

confidence: 99%

“…Lorentz symmetry violation (LSV) in QED has been studied by a number of authors concerned with its consistency with causality, unitarity [1,2,3], the structure of asymptotic states and renormalisation theory [4,5,6]. In previous papers [7,8] we studied some of these issues in QED starting with a premetric formulation [9,10] based on an action…”

Section: Introductionmentioning

confidence: 99%

Lorentz symmetry violation in QCD and the frustration of asymptotic freedom

Drummond

2020

Phys. Rev. D

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We study the effect of Lorentz symmetry violation (LSV) on the behaviour at high energy of SU(N) gauge theory with quarks in the fundamental representation. The approach is similar to that for QED treated in a previous paper. In contrast to QED, standard Lorentz invariant QCD is asymptotically free. Our aim is to explore the structure of the renormalisation group at high energy and hence weak coupling without requiring the Lorentz symmetry breaking to be small. The simplest type of LSV leaves the theory invariant under a subgroup of the Lorentz group that preserves a (time-like) 4-vector. We examine this case in detail and find that asymptotic freedom is frustrated. That is, at sufficiently high energy the running coupling constant attains a minimum value before increasing again, while the LSV parameter increases without bound. *

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“…[10]. The issue of the quantization problem in birefringent Lorentz-violating quantum electrodynamics was analyzed in [11].…”

Section: Introductionmentioning

confidence: 99%

Gupta-Bleuler’s quantization of a parity-odd CPT -even electrodynamics of the standard model extension

2016

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Following a successfully quantization scheme previously developed in Ref.[1] for a parity-even gauge sector of the SME, we have established the Gupta-Bleuler quantization of a parity-odd and CPT-even electrodynamics of the standard model extension (SME) without recoursing to a small photon mass regulator. Keeping the photons massless, we have adopted the gauge fixing condition: G(Aµ) = (∂0 +κ 0j ∂j)(A0 +κ 0k A k )+∂iA i . The four polarization vectors of the gauge field are exactly determined by solving an eigenvalue problem, exhibiting birefringent second order contributions in the Lorentz-violating parameters. They allow to express the Hamiltonian in terms of annihilation and creation operators whose positivity is guaranteed by imposing a weak Gupta-Bleuler constraint, defining the physical states. Consequently, we compute the field commutation relation which has been expressed in terms of Pauli-Jordan functions modified by Lorentz violation whose light-cone structures have allowed to analyze the microcausality issue.

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Quantum field theory based on birefringent modified Maxwell theory

Cited by 41 publications

References 98 publications

Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators

Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators

Lorentz symmetry violation in QCD and the frustration of asymptotic freedom

Gupta-Bleuler’s quantization of a parity-odd CPT -even electrodynamics of the standard model extension

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