Pion decay constant and the {rho}-meson mass at finite temperature in hidden local symmetry

Journal Article · Sun Jun 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.6716· OSTI ID:503780

Harada, M ^[1]; Shibata, A ^[2]

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1. Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)
2. Computing Research Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305 (Japan)

We study the temperature dependence of the pion decay constant and {rho}-meson mass in the hidden local symmetry model at one loop. Using the standard imaginary time formalism, we include the thermal effect of the {rho} meson as well as that of the pion. We show that the pion gives a dominant contribution to the pion decay constant and the {rho}-meson contribution slightly decreases the critical temperature. The {rho}-meson pole mass increases as T{sup 4}/m{sub {rho}}{sup 2} at low temperature, dominated by the pion-loop effect. At high temperature, although the pion-loop effect decreases the {rho}-meson mass, the {rho}-loop contribution overcomes the pion-loop contribution and the {rho}-meson mass increases with temperature. We also show that the conventional parameter a is stable as the temperature increases. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 503780
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
COUPLING
ELECTROMAGNETIC FORM FACTORS
GOLDSTONE BOSONS
LAGRANGIAN FIELD THEORY
MASS
PARTICLE DECAY
PIONS
QUANTUM CHROMODYNAMICS
RHO-770 MESONS
SYMMETRY BREAKING
TEMPERATURE DEPENDENCE
UNIFIED GAUGE MODELS
VECTOR MESONS