One-loop renormalization of Lorentz-violating electrodynamics

Abstract

We show that the general Lorentz-and CPT-violating extension of quantum electrodynamics is one-loop renormalizable. The one-loop Lorentz-violating beta functions are obtained, and the running of the coefficients for Lorentz and CPT violation is determined. Some implications for theory and experiment are discussed.

Mass renormalization in Lorentz-violating scalar field theory

“…On the other hand, possible Lorentzviolating (LV) extensions of the SM, standard model extensions (SME), have, apparently, no troubles both theoretically and experimentally [1,2] and many theories exhibiting Lorentz violation were proposed in recent years. We can mention the cases of the SM Electroweak sector [3], Quantum Chromodynamics [4], Quantum Electrodynamics [5], a pure Yang-Mills theory [6] and other theories [7][8][9][10][11][12][13].…”

The Lorentz-Violating Extension of the Standard Model

“…The parameter time τ is defined by τ = √ 3/4 arcoth( 3c n /4c 1 t + 1), which contains two more integration constants c n and c 1 . The solution (6) implies that both A and B approach constant values at late times t → ∞. Thus, the values of the axion A and the dilaton B become fixed in our supergravity cosmology, despite the absence of a dilaton potential.…”

“…1 Although in most models a Chern-Simons-type term is assumed to arise in a fundamental theory, (k AF ) µ is typically treated as constant and nondynamical at low energies. In our supergravity cosmology, however, (k AF ) µ is associated with the dynamical scalars A and B. Excitations of F µν therefore result in perturbations δA and δB in the axion-dilaton background (6). As a consequence, the energy-momentum tensor (T b ) µν of the background acquires an additional contribution, ( [1] that the contribution δ(T b ) µν does indeed compensate for the negative energies associated with a nonzero (k AF ) µ .…”

“…Next, we consider excitations of F µν in the axiondilaton background determined by Eq. (6). From a phenomenological viewpoint, we can take these excitations to be localized in spacetime regions small on cosmological scales.…”

“…This can be understood intuitively as follows. The equations of motion typically contain the gradient of the coupling, which selects a preferred direction in spacetime leading to apparent Lorentz violation.In this talk, we discuss some theoretical and experimental aspects of the Standard-Model Extension (SME) [2][3][4][5][6][7], which is the low-energy framework for Lorentz-breaking effects. The SME is a dynamical model constructed to contain all Lorentz-and CPT-violating lagrangian terms consistent with coordinate…”