Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature

Celeste, A.; Mariz, T.; Nascimento, J. R.; Petrov, A. Yu.

doi:10.1103/physrevd.93.065012

Cited by 6 publications

(1 citation statement)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The pioneering work of Myers and Pospelov focuses on Lorentz invariance violation with dimension-five operators coupled to a constant four-vector n µ and having cubic dispersion relations in the lowest-order momentum expansion [6]. The Myers-Pospelov (MP) model has been studied to extract bounds upon its parameters from radiative corrections [7][8][9][10], cosmological observations [11], anisotropies [12], synchrotron radiation [13] and also to analyze stability and causality [14]. One can show that for a special choice of nonminimal SME coefficients, one arrives at the MP model.…”

Section: Introductionmentioning

confidence: 99%

Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: The e++e− annihilation

Reyes

Urrutia

2017

Phys. Rev. D

View full text Add to dashboard Cite

We study perturbative unitarity in a Lorentz-symmetry-violating QED model with higher-order derivative operators in the light of the results of Lee and Wick to preserve unitarity in indefinite metric theories. Specifically, we consider the fermionic sector of the Myers-Pospelov model, which includes dimension-five operators, coupled to standard photons. We canonically quantize the model, paying attention to its effective character, and show that its Hamiltonian is stable, emphasizing the exact stage at which the indefinite metric appears and decomposes into a positive-metric sector and a negative-metric sector. Finally, we verify the optical theorem at the one-loop level in the annihilation channel of the forward-scattering process e + (p2, r)+e − (p1, s) by applying the Lee-Wick prescription in which the states associated with the negative metric are left out from the asymptotic Hilbert space, but nevertheless are considered in the loop integration via the propagator.

show abstract

Section: Introductionmentioning

confidence: 99%

Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: The e++e− annihilation

Reyes

Urrutia

2017

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

Perturbative Generation of LV Terms

Mariz¹,

Nascimento²,

Petrov³

2022

SpringerBriefs in Physics

View full text Add to dashboard Cite

Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED

et al. 2019

View full text Add to dashboard Cite

We consider an extended QED with the addition of a dimension-five Lorentz-breaking coupling between spinor and gauge fields, involving a pseudo-tensor κ µνλρ . The specific form of the Lorentz violating coupling considered by us have been suggested in other works, and some of its consequences at the classical level were already studied. Here, we investigate the consequences of this specific form of Lorentz violation at the quantum level, evaluating the one loop corrections to the gauge field two-point function, both at zero and at finite temperature. We relate the terms that are generated by quantum corrections with the photon sector of the Standard Model Extension, discussing the possibility of establishing experimental bounds on k µνρσ . From the dispersion relations in the resulting theory, we discuss its consistency from the causality viewpoint.

show abstract

Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature

Cited by 6 publications

References 50 publications

Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: The e++e− annihilation

Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: The e++e− annihilation

Perturbative Generation of LV Terms

Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED

Contact Info

Product

Resources

About