How sharp is the chiral crossover phenomenon for realistic meson masses?

被引:34
作者
MeyerOrtmanns, H
Schaefer, BJ
机构
[1] Institut für Theoretische Physik der Universität Heidelberg, Heidelberg, D-69120
来源
PHYSICAL REVIEW D | 1996年 / 53卷 / 11期
关键词
D O I
10.1103/PhysRevD.53.6586
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The mass dependence of the chiral phase transition is studied in the linear SU(3)x SU(3) a model to leading order in a 1/N-f-expansion, N-f denoting the number of flavors. For realistic meson masses we find a smooth crossover between T similar to 181.5 and 192.6 MeV. The crossover looks more rapid in the light quark condensate than in thermodynamic quantities such as the energy and entropy densities. The change in the light quark condensate in this temperature interval is similar to 50% of the zero-temperature condensate value, while the entropy density increases by (5.5+/-0.8) x 10(-3) GeV3. Since the numerical error is particularly large in this region, we cannot rule out a finite latent heat smaller than 0.2 GeV/fm(3). The chiral transition is washed out for an average pseudoscalar meson octet mass greater than or equal to 203 MeV. This gives an upper bound on the first-order transition region in the meson mass parameter space. The corresponding ratio of critical to realistic light current quark masses m(u,d)(crit)/m(u,d) is estimated as 0.26+/-0.08. This result is by an order of magnitude larger than the corresponding mean-field value. Therefore, the realistic quark or meson masses seem to lie less deeply in the crossover region than it is suggested by a mean-field calculation.
引用
收藏
页码:6586 / 6601
页数:16
相关论文
共 43 条
[11]   SPONTANEOUS SYMMETRY BREAKING IN O(N) MODEL FOR LARGE N [J].
COLEMAN, S ;
JACKIW, R ;
POLITZER, HD .
PHYSICAL REVIEW D, 1974, 10 (08) :2491-2499
[12]   PHASE-STRUCTURE OF QCD AT HIGH-TEMPERATURE WITH MASSIVE QUARKS AND FINITE QUARK DENSITY - A Z(3) PARADIGM [J].
DEGRAND, TA ;
DETAR, CE .
NUCLEAR PHYSICS B, 1983, 225 (04) :590-620
[13]   SYMMETRY BEHAVIOR AT FINITE TEMPERATURE [J].
DOLAN, L ;
JACKIW, R .
PHYSICAL REVIEW D, 1974, 9 (12) :3320-3341
[14]  
DONG Z, 1992, NUCL PHYS B S, V26, P314
[15]   NONPERTURBATIVE THERMODYNAMICS OF SU (N) GAUGE-THEORIES [J].
ENGELS, J ;
FINGBERG, J ;
KARSCH, F ;
MILLER, D ;
WEBER, M .
PHYSICS LETTERS B, 1990, 252 (04) :625-630
[16]   CHIRAL INTERFACE AT THE FINITE TEMPERATURE TRANSITION POINT OF QCD [J].
FREI, Z ;
PATKOS, A .
PHYSICS LETTERS B, 1990, 247 (2-3) :381-386
[17]   QUARK MASSES [J].
GASSER, J ;
LEUTWYLER, H .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 87 (03) :77-169
[18]   QCD AND THE CHIRAL CRITICAL-POINT [J].
GAVIN, S ;
GOCKSCH, A ;
PISARSKI, RD .
PHYSICAL REVIEW D, 1994, 49 (07) :R3079-R3082
[19]   HADRONS BELOW THE CHIRAL PHASE-TRANSITION [J].
GERBER, P ;
LEUTWYLER, H .
NUCLEAR PHYSICS B, 1989, 321 (02) :387-429
[20]   CHIRAL SYMMETRY RESTORATION AT FINITE TEMPERATURE IN THE SU(3)XSU(3) SIGMA MODEL [J].
GOLDBERG, H .
PHYSICS LETTERS B, 1983, 131 (1-3) :133-137