Realization of symmetries and the c-theorem

Details Realization of symmetries and the c-theorem Realization of symmetries and the c-theorem

1998-11-13

arxiv.org/abs/hep-th/9811121v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, harvmac, to appear in Proceedings of the Faro Workshop on Exact Renormalization Group

Scientific paper

We discuss the relation between the $c$--theorem and the the way various symmetries are realized in quantum field theory. We review our recent proof of the $c$--theorem in four dimensions. Based on this proof and further evidence, we conjecture that the realization of chiral symmetry be irreversible, flowing from the Wigner-Weyl realization at short distance to the Nambu--Goldstone realization at long distance. We argue that three apparently independent constraints based on the renormalization group, namely anomaly matching, the c-theorem and the conjectured symmetry realization theorem, are particular manifestations of a single underlying principle.

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