Spontaneous Lorentz Violation: The Case of Infrared QED

Abstract

It is by now clear that infrared sector of QED has an intriguingly complex structure. Based on earlier pioneering works on this subject, two of us recently proposed a simple modification of QED by constructing a generalization of the $U(1)$ charge group of QED to the "Sky" group incorporating the known spontaneous Lorentz violation due to infrared photons, but still compatible in particular with locality. There it was shown that the "Sky" group is generated by the algebra of angle dependent charges and a study of its superselection sectors has revealed a manifest description of spontaneous breaking of Lorentz symmetry. We further elaborate this approach here and investigate in some detail the properties of charged particles dressed by the infrared photons. We find that Lorentz violation due to soft photons may be manifestly codified in an angle dependent fermion mass modifying therefore the fermion dispersion relations. The fact that the masses of the charged particles are not Lorentz invariant affects their spin content too.Time dilation formulae for decays should also get corrections. We speculate that these effects could be measured possibly in muon decay experiments.

arXiv comment18+1 pages, revised version, expanded discussion in section 5,

References in corpus (10)

• Lorentz-Violating Extension of the Standard Model
• Data Tables for Lorentz and CPT Violation
• Modern tests of Lorentz invariance
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Asymptotic Symmetries of Yang-Mills Theory
• Fermions with Lorentz-violating operators of arbitrary dimension
• Evidence for a New Soft Graviton Theorem
• Relativity tests by complementary rotating Michelson-Morley experiments
• Test of the isotropy of the speed of light using a continuously rotating optical resonator
• Spontaneous Breaking of Lorentz Symmetry and Vertex Operators for Vortices

Cited by in corpus (20)

• New Symmetries of Massless QED
• Asymptotic symmetries and subleading soft graviton theorem
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Asymptotic $U(1)$ charges at spatial infinity
• Large Gauge Symmetries and Asymptotic States in QED
• Dynamical structure of Carrollian Electrodynamics
• Area, Entanglement Entropy and Supertranslations at Null Infinity
• The Holographic Soft $S$-Matrix in QED and Gravity
• QCD Breaks Lorentz Invariance and Colour
• Non-orthogonality and $\kappa$-dependence eccentricity of polarized electromagnetic waves in CPT-even Lorentz violation
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• Entangled Scent of a Charge
• An Action for the Infrared Regime of Gauge Theories and the Problem of Color Transformations
• ADM Energy and Infra-gravitons
• The Gauss Law: A Tale
• Localization in the Rindler Wedge
• Novel Edge States in Self-Dual Gravity
• Spin Multipole Expansion of the Memory Effect
• Holographic Representations of Supertranslation Eigenstates
• Testing Hamiltonian Reduced QED