Renormalization of Lorentz violating theories

By Damiano Anselmi, M. Halat. 2007

143 citations recorded by the source corpus.

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 {lambda}{sub 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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ec1d9d24c9c1154489055cf42babb72815a975db

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Strong coupling in Horava gravity (2009, methodology): “We begin by reviewing the basic ideas behind Hořava gravity in scalar field theory, using Lifshitz’s model for a scalar field that explicitly breaks Lorentz invariance [16] (see also [17, 18]).”
Quantum-Spacetime Phenomenology (2008, background): “The study of Planck-scale departures from Lorentz symmetry may find some encouragement in perspectives based on renormalization theory, at least in as much as it has been shown [79, 78, 289, 507] that some field theories modified by Lorentz-violating terms are actually rather well behaved in the UV.”
Cosmology of the Lifshitz universe (2009, background): “Renormalizable theories with higher spatial derivatives were studied in [61, 62, 63] for scalars and fermions and in [64, 65] for gauge theories (see also [66] for a Lorentz-violating extension of the Standard Model).”
Lorentz symmetry breaking as a quantum field theory regulator (2009, background): “Note that the “weighted power counting” of reference [18] is very closely related to the extension of the notion of “superficial degree of divergence” as discussed above.”