What Do We Know About Lorentz Invariance?

Abstract

The realization that Planck-scale physics can be tested with existing technology through the search for spacetime-symmetry violation brought about the development of a comprehensive framework, known as the gravitational Standard-Model Extension (SME), for studying deviations from exact Lorentz and CPT symmetry in nature. The development of this framework and its motivation led to an explosion of new tests of Lorentz symmetry over the past decade and to considerable theoretical interest in the subject. This work reviews the key concepts associated with Lorentz and CPT symmetry, the structure of the SME framework, and some recent experimental and theoretical results.

27 pages, 1 figure, review article to appear in Rep. Prog. Phys

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• Have we tested Lorentz invariance enough?
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• Lorentz Violation and the Yukawa Potential
• Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
• Gauge Field Theory in the Infrared Regime
• Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha
• Bounds on Cubic Lorentz-Violating Terms in the Fermionic Dispersion Relation
• Reply to ``Comment on `Test of constancy of speed of light with rotating cryogenic optical resonators' ''
• Lorentz Violation and the Higgs Mechanism
• Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
• Microcausality and quantization of the fermionic Myers-Pospelov model
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• Cosmological birefringent constraints on light
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• Astrophysical Limits on Lorentz Violation for Pions
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• Modeling-Free Bounds on Nonrenormalizable Isotropic Lorentz and CPT Violation in QED
• Lorentz-violating Chern-Simons action under high temperature in massless QED
• Cavity tests of parity-odd Lorentz violations in electrodynamics
• Lorentz Violation and Alpha-Decay
• Lorentz Violation and Faddeev-Popov Ghosts
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• Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory
• Nonpolynomial Normal Modes of the Renormalization Group in the Presence of a Constant Vector Potential Background
• Factoring the Dispersion Relation in the Presence of Lorentz Violation
• Simulations of Solar System observations in alternative theories of gravity
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• Search for Lorentz Violation in a Short-Range Gravity Experiment
• Yang-Mills Instantons with Lorentz Violation
• Observer and Particle Transformations and Newton's Laws
• Covariant Quantization of Lorentz-Violating Electromagnetism
• Prospects for an advanced Kennedy-Thorndike experiment in low Earth orbit
• Infinitesimally Nonlocal Lorentz Violation
• On the constraint equations in Einstein-aether theories and the weak gravitational field limit
• Energy Positivity, Non-Renormalization, and Holomorphy in Lorentz-Violating Supersymmetric Theories
• Test of Lorentz Symmetry by using a 3He/129Xe Co-Magnetometer
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• Lorentz violation in a uniform gravitational field
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