### Abstract

A recently proposed approximate large-n ground state solution of the U _{L}(n)×U _{R}(n) symmetric linear sigma model is investigated at finite temperature. We study the coupled evaporation of two condensates corresponding to the symmetry breaking pattern U _{L}(3) ×U _{R}(3)→U _{V}(2), realized by the ground state in certain parts of the coupling space. The region of the fluctuation induced first order transitions and its second order boundary is mapped out. The existence of a tricritical point is conjectured.

Original language | English |
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Article number | 117502 |

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

Volume | 85 |

Issue number | 11 |

DOIs | |

Publication status | Published - Jun 6 2012 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Finite temperature symmetry restoration in the U _{L}(3) ×U _{R}(3) linear sigma model from a large-n approximation.** / Fejos, G.; Patkós, A.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Finite temperature symmetry restoration in the U L(3) ×U R(3) linear sigma model from a large-n approximation

AU - Fejos, G.

AU - Patkós, A.

PY - 2012/6/6

Y1 - 2012/6/6

N2 - A recently proposed approximate large-n ground state solution of the U L(n)×U R(n) symmetric linear sigma model is investigated at finite temperature. We study the coupled evaporation of two condensates corresponding to the symmetry breaking pattern U L(3) ×U R(3)→U V(2), realized by the ground state in certain parts of the coupling space. The region of the fluctuation induced first order transitions and its second order boundary is mapped out. The existence of a tricritical point is conjectured.

AB - A recently proposed approximate large-n ground state solution of the U L(n)×U R(n) symmetric linear sigma model is investigated at finite temperature. We study the coupled evaporation of two condensates corresponding to the symmetry breaking pattern U L(3) ×U R(3)→U V(2), realized by the ground state in certain parts of the coupling space. The region of the fluctuation induced first order transitions and its second order boundary is mapped out. The existence of a tricritical point is conjectured.

UR - http://www.scopus.com/inward/record.url?scp=84862287736&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862287736&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.85.117502

DO - 10.1103/PhysRevD.85.117502

M3 - Article

AN - SCOPUS:84862287736

VL - 85

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 11

M1 - 117502

ER -