Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms

Abstract

In this paper, we investigate an electrodynamics in which the physical modes are coupled to a Lorentz-violating (LV) background by means of a higher-derivative term. We analyze the modes associated with the dispersion relations (DRs) obtained from the poles of the propagator. More specifically, we study Maxwell's electrodynamics modified by a LV operator of mass dimension 6. The modification has the form $D_{\beta \alpha }{\partial }_{\sigma }{F}^{\sigma \beta }{\partial }_{\lambda }{F}^{\lambda \alpha }$, i.e., it possesses two additional derivatives coupled to a \textit{CPT}-even tensor $D_{\beta \alpha }$ that plays the role of the fixed background. We first evaluate the propagator and obtain the dispersion relations of the theory. By doing so, we analyze some configurations of the fixed background and search for sectors where the energy is well-defined and causality is assured. A brief analysis of unitarity is included for particular configurations. Afterwards, we perform the same kind of analysis for a more general dimension-6 model. We conclude that the modes of both Lagrange densities are possibly plagued by physical problems, including causality and unitarity violation, and that signal propagation may become physically meaningful only in the high-momentum regime.

arXiv comment27 pages, revised version, unitarity analysis included. Accepted to publication in Physical Review D 2008

References in corpus (122)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• High-Energy Tests of Lorentz Invariance
• Signals for Lorentz Violation in Electrodynamics
• Stability, Causality, and Lorentz and CPT Violation
• CPT, Strings, and Meson Factories
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Ultraviolet modifications of dispersion relations in effective field theory
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Constraints on Lorentz violation from clock-comparison experiments
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• Fermions with Lorentz-violating operators of arbitrary dimension
• CPT and Lorentz Tests in Penning Traps
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• The Lee-Wick Standard Model
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Testing CPT with Anomalous Magnetic Moments
• Cross Sections and Lorentz Violation
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Vacuum Cherenkov radiation
• Lorentz and CPT tests with spin-polarized solids
• Causality and CPT violation from an Abelian Chern-Simons-like term
• The Cherenkov effect in Lorentz-violating vacua
• New two-sided bound on the isotropic Lorentz-violating parameter of modified Maxwell theory
• Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Threshold analyses and Lorentz violation
• Dirac theory within the Standard-Model Extension
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics
• Lorentz-violating spinor electrodynamics and Penning traps
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Photon decay in a CPT-violating extension of quantum electrodynamics
• Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
• Strong Equivalence, Lorentz and CPT Violation, Anti-Hydrogen Spectroscopy and Gamma-Ray Burst Polarimetry
• Addendum: Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
• Dynamical Lorentz simmetry breaking from 3+1 Axion-Wess-Zumino model
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term
• Regularisation : many recipes, but a unique principle : Ward identities and Normalisation conditions. The case of CPT violation in QED
• Patterns of Lorentz symmetry breaking in QED by CPT-odd interaction
• Lorentz and CPT Violating Chern-Simons Term in the Formulation of Functional Integral
• Lorentz Symmetry Breaking in Abelian Vector-Field Models with Wess-Zumino Interaction
• Bare and Induced Lorentz and CPT Invariance Violations in QED
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• Quantization of the Myers-Pospelov model: the photon sector interacting with standard fermions as a perturbation of QED
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwinger proper time method
• Lorentz-CPT violation, radiative corrections and finite temperature
• Compton Scattering in the Presence of Lorentz and CPT Violation
• A Higher-Derivative Lee-Wick Standard Model
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• CPT and Lorentz violation effects in hydrogen-like atoms
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• Lorentz violation bounds on Bhabha scattering
• Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field
• Unitarity in higher-order Lorentz-invariance violating QED
• Searching for Lee-Wick Gauge Bosons at the LHC
• A Remark on Lorentz Violation at Finite Temperature
• Anomalous positron excess from Lorentz-violating QED
• Radiative Effects in the Standard Model Extension
• Neutrino Masses in the Lee-Wick Standard Model
• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• The Photon Sector in the Quantum Myers-Pospelov Model: An improved description
• Path Integral Quantization of Generalized Quantum Electrodynamics
• Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the photon sector
• Constraint from Lamb Shift and Anomalous Magnetic Moment on Radiatively Induced Lorentz and CPT Violation in Quantum Electrodynamics
• Role of Ambiguities and Gauge Invariance in the Calculation of the Radiatively Induced Chern-Simons Shift in Extended Q.E.D.
• Optical-cavity tests of higher-order Lorentz violation
• Podolsky Electromagnetism at Finite Temperature: Implications on Stefan-Boltzmann Law
• Casimir effect between ponderable media as modeled by the standard model extension
• Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the fermion sector
• Induced Chern-Simons-like action in Lorentz-violating massless QED
• Lab-based limits on the Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Consequences of vacuum polarization on electromagnetic waves in a Lorentz-symmetry breaking scenario
• Electroweak Precision Data and the Lee-Wick Standard Model
• One-Loop Renormalization of Lee-Wick Gauge Theory
• Massive photons from Super and Lorentz symmetry breaking
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Electroweak precision constraints on the Lee-Wick Standard Model
• Lorentz and CPT violation in QED revisited: A missing analysis
• Renormalizability of generalized quantum electrodynamics
• Higher order corrections to the hydrogen spectrum from the Standard-Model Extension
• Lee-Wick Theories at High Temperature
• Higher-Derivative Lee-Wick Unification
• External Sources in Lee-Wick Theories
• On the exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other CPT and Lorentz violating backgrounds
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Unique Identification of Lee-Wick Gauge Bosons at Linear Colliders
• Constraints on the Lee-Wick Higgs Sector
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Unitarity in a Lorentz symmetry breaking model with higher-order operators
• Generation of higher derivatives operators and electromagnetic wave propagation in a Lorentz-violation scenario
• Global Symmetries and Renormalizability of Lee-Wick Theories
• The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action
• Muon anomalous magnetic moment in the standard model extension
• A Conducting surface in Lee-Wick electrodynamics
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Gauge invariant electromagnetic properties of fermions induced by CPT violation in the Standard Model Extension
• Consistency in Perturbative Calculations and Radiatively Induced Lorentz and CPT Violations
• One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension
• Possible treatment of the Ghost states in the Lee-Wick Standard Model
• The full CPT-even photon sector of the Standard Model Extension at finite temperature
• Microcausality and quantization of the fermionic Myers-Pospelov model
• The point-charge self-energy in Lee-Wick Theories
• The Matsubara-Fradkin Thermodynamical Quantization of Podolsky Electrodynamics
• Consistency analysis of a nonbirefringent Lorentz-violating planar model
• Probing features of the Lee-Wick quantum electrodynamics
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• Gauge field spectrum in massive Yang-Mills theory with Lorentz violation

Cited by in corpus (26)

• Thermodynamic properties in higher-derivative electrodynamics
• Lorentz-violating scenarios in a thermal reservoir
• Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
• Radiative corrections and Lorentz violation
• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Unitarity in Maxwell-Carroll-Field-Jackiw electrodynamics
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED
• Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
• One-loop structure of the photon propagator in the Standard Model Extension
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Podolsky electrodynamics from a condensation of topological defects
• On plane wave solutions in Lorentz-violating extensions of gravity
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Lorentz-violating extension of scalar QED at finite temperature
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling