Renormalization of Lorentz violating theories

Damiano Anselmi and Milenko Halat
Phys. Rev. D 76, 125011 – Published 7 December 2007

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 ΛL, 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.

  • Figure
  • Received 11 September 2007

DOI:https://doi.org/10.1103/PhysRevD.76.125011

©2007 American Physical Society

Authors & Affiliations

Damiano Anselmi* and Milenko Halat

  • Dipartimento di Fisica “Enrico Fermi,” Università di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italy, and INFN, Sezione di Pisa, Pisa, Italy

  • *damiano.anselmi@df.unipi.it
  • milenko.halat@df.unipi.it

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Issue

Vol. 76, Iss. 12 — 15 December 2007

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