Renormalization of Lorentz violating theories

2007/07/31 by Damiano Anselmi, Milenko Halat · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #hep-th

paper · pdf · doi:10.1103/physrevd.76.125011

published as Phys.Rev.D76:125011,2007 · 28 pages, 1 figure; v2: more references and applications, PRD version

arxiv created 2007/11/26 · openalex publication_date 2007/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the unitary, renormalizable, Lorentz violating quantum field theories of interacting scalars and fermions, obtained improving the behavior of Feynman diagrams by means of higher space derivatives. Higher time derivatives are not generated by renormalization. Renormalizability is ensured by a ``weighted power-counting'' criterion. The theories contain a dimensionful parameter \ensuremathΛ_L, yet a set of models are classically invariant under a weighted scale transformation, which is anomalous at the quantum level. Formulas for the weighted trace anomaly are derived. The renormalization-group properties are studied.

Citations

• Superrenormalizable gauge and gravitational theories
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Gauge invariance and the Pauli-Villars regulator in Lorentz- and CPT-violating electrodynamics
• Towards a renormalizable standard model without a fundamental Higgs scalar
• Renormalizable acausal theories of classical gravity coupled with interacting quantum fields
• Renormalization of higher-derivative quantum gravity
• Phenomenological Lagrangians

Cited by

• Renormalization of scalar and Yukawa field theories with Lorentz violation
• Symmetries and propagator in multifractional scalar field theory