2009/06/30 by Stefano Liberati, Luca Maccione · 143 citations
Physics and Astronomy · #astro-ph.HE #gr-qc #hep-ph
paper · pdf · doi:10.1146/annurev.nucl.010909.083640
published in Annual Review of Nuclear and Particle Science 59(1), 245-267 (Annual Reviews) · prepared for Annual Review of Nuclear and Particle Science; v3: several references added. v4: DESY report number added
crossref created 2009/06/03 · arxiv created 2009/09/25 · crossref issued 2009/11/01 · crossref published 2009/11/01 · crossref published-print 2009/11/01 · crossref deposited 2025/02/09 · crossref indexed 2026/07/31
We review the main theoretical motivations and observational constraints on Planck scale–suppressed violations of Lorentz invariance. After introducing the problems related to the phenomenological study of quantum gravitational effects, we discuss the main theoretical frameworks within which possible departures from Lorentz invariance can be described. In particular, we focus on the framework of effective field theory, describing several possible ways of including Lorentz violation therein and discussing their theoretical viability. We review the main low-energy effects that are expected in this framework. We discuss the current observational constraints on such a framework, focusing on those achievable through high-energy astrophysics observations. In this context, we present a summary of the most recent and strongest constraints on quantum electrodynamics with Lorentz-violating nonrenormalizable operators. Finally, we discuss the status of the field and its future perspectives.