Ward-Takahashi identities at finite temperature and phase structure in (2+1)-dimensional chiral Gross-Neveu model

Journal Article · Sun Aug 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.1801· OSTI ID:6327361

Shen, K ^[1]; Qiu, Z ^[2]

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1. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430070 (China) Institute of Modern Physics, Tsinghua University, Beijing 100084 (China)
2. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430070 (China)

Chiral Ward-Takahashi identities with composite fields are generalized to finite temperature and applied to investigate the chiral phase transition and phase structure in the (2+1)-dimensional chiral Gross-Neveu model. In terms of these identities, the mass spectra of fermions and bound states and the Goldberger-Treiman relation at finite temperature are obtained. The vertex correction between the fermion and bound states [sigma] is evaluated beyond the leading order in the 1/[ital N] expansion at zero and finite temperatures. With the aid of the gap equation derived from Ward-Takahashi identities, the phase structure is discussed at zero and finite temperatures. It turns out that (i) at zero temperature, the vertex correction is very small and its influence on the phase structure can be neglected and (ii) at nonzero temperature, the infrared divergence in the vertex correction will make the results of the chiral phase transition obtained at the leading order invalid in next to the leading order and the phase structure is in agreement with Coleman's theorem.

• OSTI ID: 6327361
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
WARD IDENTITY
QUANTUM CHROMODYNAMICS
FERMIONS
GOLDBERGER-TREIMAN RELATION
MASS SPECTRA
PHASE TRANSFORMATIONS
TEMPERATURE DEPENDENCE
THREE-DIMENSIONAL CALCULATIONS
FIELD THEORIES
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SPECTRA
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Conservation Laws
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