Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation

Abstract

Within the Standard Model Extension (SME), we expand our previous findings on four classes of violations of Super-Symmetry (SuSy) and Lorentz Symmetry (LoSy), differing in the handedness of the Charge conjugation-Parity-Time reversal (CPT) symmetry and in whether considering the impact of photinos on photon propagation. The violations, occurring at the early universe high energies, show visible traces at present in the Dispersion Relations (DRs). For the CPT-odd classes ($V_{\mu }$ breaking vector) associated with the Carroll-Field-Jackiw (CFJ) model, the DRs and the Lagrangian show for the photon an effective mass, gauge invariant, proportional to $|\vec{V}|$. The group velocity exhibits a classic dependency on the inverse of the frequency squared. For the CPT-even classes ($k_F$ breaking tensor), when the photino is considered, the DRs display also a massive behaviour inversely proportional to a coefficient in the Lagrangian and to a term linearly dependent on $k_F$. All DRs display an angular dependence and lack LoSy invariance. In describing our results, we also point out the following properties: i) the appearance of complex or simply imaginary frequencies and super-luminal speeds and ii) the emergence of bi-refringence. Finally, we point out the circumstances for which SuSy and LoSy breakings, possibly in presence of an external field, lead to the non-conservation of the photon energy-momentum tensor. We do so for both CPT sectors.

To appear in Eur. Phys. J. C. We extend our previuous findings in arXiv:1607.08786 [hep-ph] and determine an effective mass for the photon also in the even CPT sector. Furthermore, the light-wave dissipation in vacuum, interpreted from the particle view point, might be seen as loss of frequency, and thereby 'tired light'

References in corpus (23)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Photon Mass Limits from Fast Radio Bursts
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Photon mass drag and the momentum of light in a medium
• FRB 121102 Casts New Light on the Photon Mass
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• On the superfield supersymmetric aether-like Lorentz-breaking models
• Lab-based limits on the Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Lorentz violation and black-hole thermodynamics
• Massive photons from Super and Lorentz symmetry breaking
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Dispersion by pulsars, magnetars, fast radio bursts and massive electromagnetism at very low radio frequencies
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Vector Superfields and Lorentz Violation
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Toward a Quantum Theory of Tachyon Fields
• Lorentz violation and higher-derivative gravity
• CPT and Lorentz violation en the Photon and $Z$-boson sector

Cited by in corpus (29)

• Challenges for $\Lambda$CDM: An update
• New Horizons for Fundamental Physics with LISA
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Cosmology and the massive photon frequency shift in the Standard-Model Extension
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Unitarity in Maxwell-Carroll-Field-Jackiw electrodynamics
• Constraints on quantum gravity and the photon mass from gamma ray bursts
• The Heisenberg limit at cosmological scales
• A critical discussion on the $H_0$ tension
• Cold plasma waves in the chiral Maxwell-Carroll-Field-Jackiw electrodynamics
• Investigating dark energy by electromagnetic frequency shifts
• The axion-photon mixing in non-linear electrodynamic scenarios
• Frequency variation for in vacuo photon propagation in the Standard-Model Extension
• Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
• Investigating dark energy by electromagnetic frequency shifts II: the Pantheon+ sample
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?
• Optical properties and energy propagation in a dielectric medium supporting magnetic current
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Anisotropic cold plasma modes in chiral vector Maxwell-Carroll-Field-Jackiw electrodynamics
• Generalized quaternionic free rotational Dirac equation and spinor solutions in the electromagnetic field
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Constraining CPT-odd electromagnetic chiral parameters with pulsar timing
• Residual gauge-invariance in a massive Lorentz-violating extension of QED
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Photon frequency variation in non-linear electro-magnetism
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM