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

Abstract

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.

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

References in corpus (5)

• Degrees of freedom and the phase transitions of two flavor QCD
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Influence of the isospin and hypercharge chemical potentials on the location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R chiral quark model
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• Exploring criticality in the QCD-like two quark flavour models
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Finite temperature symmetry restoration in the U_L(3)xU_R(3) linear sigma model from a large-n approximation
• Spontaneously broken ground states of the U(n)_L x U(n)_R linear sigma model at large n