The C-Theorem and Chiral Symmetry Breaking in Asymptotically Free Vectorlike Gauge Theories

Details The C-Theorem and Chiral Symmetry Breaking in Asymptotically Free Vectorlike Gauge Theories The C-Theorem and Chiral Symmetry Breaking in Asymptotically Free Vectorlike Gauge Theories

2001-03-29

arxiv.org/abs/hep-th/0103249v2

Phys.Lett. B510 (2001) 341-346

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures, a few references added

Scientific paper

10.1016/S0370-2693(01)00594-9

We confront Cardy's suggested c-function for four-dimensional field theories with the spontaneous breaking of chiral symmetries in asymptotically free vectorlike gauge theories with fermions transforming according to different representations under the gauge group. Assuming that the infrared limit of the c-function is determined by the dimension of the associated Goldstone manifold, we find that this c-function always decreases between the ultraviolet and infrared fixed points.

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