U{sub A}(1) breaking and phase transition in chiral random matrix model

Journal Article · Sat Aug 01 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.034007· OSTI ID:21322336

Sano, T ^[1]; Fujii, H ^[1]; Ohtani, M ^[2]

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1. Institute of Physics, University of Tokyo, Tokyo 153-8902 (Japan)
2. Physics Department, School of Medicine, Kyorin University, Tokyo 181-8611 (Japan)

We propose a chiral random matrix model which properly incorporates the flavor-number dependence of the phase transition owing to the U{sub A}(1) anomaly term. At finite temperature, the model shows the second-order phase transition with mean-field critical exponents for two massless flavors, while in the case of three massless flavors the transition turns out to be of the first order. The topological susceptibility satisfies the anomalous U{sub A}(1) Ward identity and decreases gradually with the temperature increased.

• OSTI ID: 21322336
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 3; Other Information: DOI: 10.1103/PhysRevD.80.034007; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
FLAVOR MODEL
MEAN-FIELD THEORY
PHASE TRANSFORMATIONS
RANDOMNESS
SYMMETRY BREAKING
TOPOLOGY
U-1 GROUPS
WARD IDENTITY