On Ward Identities in Lifshitz-like Field Theories

Abstract

In this work, we develop a normal product algorithm suitable to the study of anisotropic field theories in flat space, apply it to construct the symmetries generators and describe how their possible anomalies may be found. In particular, we discuss the dilatation anomaly in a scalar model with critical exponent z=2 in six spatial dimensions.

Clarifications added

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• Heat kernel methods for Lifshitz theories
• Dynamics of a Dirac Fermion in the presence of spin noncommutativity
• Power-counting and Renormalizability in Lifshitz Scalar Theory
• On the effective potential for Horava-Lifshitz-like theories with the arbitrary critical exponent
• Competing interactions and the Lifshitz-type Nonlinear Sigma Model
• On the effective potential, Horava-Lifshitz-like theories and finite temperature
• Chern-Simons terms in Lifshitz like quantum electrodynamics
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• On the gauge dependence of the effective potential for Horava-Lifshitz-like theories
• Asymptotically free lattice gauge theory in five dimensions
• Horava-Lifshitz four-fermion model revisited and dynamical symmetry breaking
• On the Bhabha scattering for $z=2$ Lifshitz QED
• An UV Completion of Five Dimensional Scalar QED and Lorentz Symmetry
• Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model
• Anisotropic Weyl invariance
• Topological Superconductor from the Quantum Hall Phase: Effective Field Theory Description
• Lorentz symmetry violating Lifshitz-type field theories
• A (1+1)-dimensional Lifshitz Weyl Anomaly From a Schr$\ddot{\mathrm{o}}$dinger-invariant Non-relativistic Chern-Simons Action