Spontaneous Breaking of Lorentz Invariance

Abstract

We describe how a stable effective theory in which particles of the same fermion number attract may spontaneously break Lorentz invariance by giving non-zero fermion number density to the vacuum (and therefore dynamically generating a chemical potential term). This mecanism yields a finite vacuum expectation value $<\bar{\psi }{\gamma }^{\mu }\psi >$ which we consider in the context of proposed models that require such a breaking of Lorentz invariance in order to yield composite degrees of freedom that act approximately like gauge bosons. We also make general remarks about how the background source provided by $<\bar{\psi }{\gamma }^{\mu }\psi >$ could relate to work on signals of Lorentz violation in electrodynamics.

revtex4, 11 pages, 5 figures; v2:references added; v3:more references added, typos fixed, some points in sect. IV clarified; v4:even more references added, discussion in sect. V extended; v5:replaced to match published version (minor corrections of form)

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Cited by in corpus (43)

• Modern tests of Lorentz invariance
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Strong coupling in Horava gravity
• Categorizing Different Approaches to the Cosmological Constant Problem
• Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect
• Models of Baryogenesis via Spontaneous Lorentz Violation
• Nonlinear QED and Physical Lorentz Invariance
• On the equivalence between bumblebee models and electrodynamics in a non-linear gauge
• Universality of the Volume Bound in Slow-Roll Eternal Inflation
• Quasinormal ringing of black holes in Einstein aether theory
• Spontaneous Lorentz Violation: Non-Abelian Gauge Fields as Pseudo-Goldstone Vector Bosons
• Constrained Gauge Fields from Spontaneous Lorentz Violation
• Deriving Gauge Symmetry and Spontaneous Lorentz Violation
• Spontaneous breaking of Lorentz symmetry in $(2+\epsilon )$-dimensional QED
• The Cosmological Constant Problem, an Inspiration for New Physics
• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Graviton as a Goldstone boson: Nonlinear Sigma Model for Tensor Field Gravity
• Lorentz violation in three-family neutrino oscillation
• The Planck Scale from Top Condensation
• Unitarization and Causalization of Non-local quantum field theories by Classicalization
• Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance
• Ghost inflation and de Sitter entropy
• Renormalization in a Lorentz-violating model and higher-order operators
• A Note on Spontaneously Broken Lorentz Invariance
• Non-orthogonality and $\kappa$-dependence eccentricity of polarized electromagnetic waves in CPT-even Lorentz violation
• Dispersion relation and surface gravity of universal horizons
• Emergent gauge theories and supersymmetry: a QED primer
• Superluminal neutrino and spontaneous breaking of Lorentz invariance
• Photon and photino as Nambu-Goldstone zero modes in an emergent SUSY QED
• Novel effects of electromagnetic interaction on the correlation of nucleons in nuclear matter
• Gauge Fields as Goldstone Bosons Triggered by Spontaneously Broken Supersymmetry
• Spontaneously broken Lorentz invariance from the dynamics of a heavy sterile neutrino
• Vector-Field Domain Walls
• Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with finite temperature and chemical potential
• Yang-Mills-Higgs models with higher order derivatives
• Derivative four-fermion model, effective action and bumblebee generation
• Probing Physics in the Standard Model and Beyond with Electroweak Baryogenesis and Effective Theories of the Strong Interactions
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Gauge Symmetries Emerging from Extra Dimensions
• Lorentzian Goldstone modes shared among photons and gravitons
• On the lightlike Lorentz violation
• Positivity vs. Lorentz-violation: an explicit example