A renormalized large-n solution of the U(n) x U(n) linear sigma model in the broken symmetry phase

Details A renormalized large-n solution of the U(n) x U(n) linear sigma model in the broken symmetry phase A renormalized large-n solution of the U(n) x U(n) linear sigma model in the broken symmetry phase

2010-05-09

arxiv.org/abs/1005.1382v2

Phys.Rev.D82:045011,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX4, 14 pages, 2 figures. Version published in Phys. Rev. D

Scientific paper

Dyson-Schwinger equations for the U(n) x U(n) symmetric matrix sigma model reformulated with two auxiliary fields in a background breaking the symmetry to U(n) are studied in the so-called bare vertex approximation. A large n solution is constructed under the supplementary assumption so that the scalar components are much heavier than the pseudoscalars. The renormalizability of the solution is investigated by explicit construction of the counterterms.

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