### Abstract

Dyson-Schwinger equations for the U(n)×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.

Original language | English |
---|---|

Article number | 045011 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 82 |

Issue number | 4 |

DOIs | |

Publication status | Published - Aug 9 2010 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Renormalized large-n solution of the U(n)×U(n) linear sigma model in the broken symmetry phase.** / Fejos, G.; Patkós, A.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Renormalized large-n solution of the U(n)×U(n) linear sigma model in the broken symmetry phase

AU - Fejos, G.

AU - Patkós, A.

PY - 2010/8/9

Y1 - 2010/8/9

N2 - Dyson-Schwinger equations for the U(n)×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.

AB - Dyson-Schwinger equations for the U(n)×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.

UR - http://www.scopus.com/inward/record.url?scp=77956911059&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956911059&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.82.045011

DO - 10.1103/PhysRevD.82.045011

M3 - Article

AN - SCOPUS:77956911059

VL - 82

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 4

M1 - 045011

ER -