On the trace identity in a model with broken symmetry

Abstract

Considering the simple chiral fermion meson model when the chiral symmetry is explicitly broken, we show the validity of a trace identity -- to all orders of perturbation theory -- playing the role of a Callan-Symanzik equation and which allows us to identify directly the breaking of dilatations with the trace of the energy-momentum tensor. More precisely, by coupling the quantum field theory considered to a classical curved space background, represented by the non-propagating external vielbein field, we can express the conservation of the energy-momentum tensor through the Ward identity which characterizes the invariance of the theory under the diffeomorphisms. Our ``Callan-Symanzik equation'' then is the anomalous Ward identity for the trace of the energy-momentum tensor, the so-called ``trace identity''.

11 pages, Revtex file, final version to appear in Phys.Rev. D

References in corpus (3)

• An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D=3
• On the Non-Renormalization Properties of Gauge Theories with Chern-Simons Terms
• Exact Scale Invariance of the BF-Yang-Mills Theory in Three Dimensions

Cited by in corpus (1)

• Scale Invariance in a Non-Abelian Chern-Simons-Matter Model