On the trace identity in a model with broken symmetry

Details On the trace identity in a model with broken symmetry On the trace identity in a model with broken symmetry

1998-12-02

arxiv.org/abs/hep-th/9812023v2

Phys.Rev. D59 (1999) 125017

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.59.125017

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''.

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