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

Abstract

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}

Authors:
 [1];  [2]
  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)
Publication Date:
OSTI Identifier:
503780
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review, D; Journal Volume: 55; Journal Issue: 11; Other Information: PBD: Jun 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; PIONS; PARTICLE DECAY; UNIFIED GAUGE MODELS; VECTOR MESONS; MASS; LAGRANGIAN FIELD THEORY; TEMPERATURE DEPENDENCE; RHO-770 MESONS; QUANTUM CHROMODYNAMICS; CHIRAL SYMMETRY; SYMMETRY BREAKING; GOLDSTONE BOSONS; COUPLING; ELECTROMAGNETIC FORM FACTORS

Citation Formats

Harada, M., and Shibata, A.. Pion decay constant and the {rho}-meson mass at finite temperature in hidden local symmetry. United States: N. p., 1997. Web. doi:10.1103/PhysRevD.55.6716.
Harada, M., & Shibata, A.. Pion decay constant and the {rho}-meson mass at finite temperature in hidden local symmetry. United States. doi:10.1103/PhysRevD.55.6716.
Harada, M., and Shibata, A.. Sun . "Pion decay constant and the {rho}-meson mass at finite temperature in hidden local symmetry". United States. doi:10.1103/PhysRevD.55.6716.
@article{osti_503780,
title = {Pion decay constant and the {rho}-meson mass at finite temperature in hidden local symmetry},
author = {Harada, M. and Shibata, A.},
abstractNote = {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}},
doi = {10.1103/PhysRevD.55.6716},
journal = {Physical Review, D},
number = 11,
volume = 55,
place = {United States},
year = {Sun Jun 01 00:00:00 EDT 1997},
month = {Sun Jun 01 00:00:00 EDT 1997}
}