Random matrix theory, chiral perturbation theory, and lattice data

被引:14
作者
Berbenni-Bitsch, ME [1 ]
Göckeler, M
Hehl, H
Meyer, S
Rakow, PEL
Schäfer, A
Wettig, T
机构
[1] Univ Kaiserslautern, Fachbereich Phys Theoret Phys, D-67663 Kaiserslautern, Germany
[2] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
[3] Tech Univ Munich, Inst Theoret Phys, D-85747 Garching, Germany
关键词
chiral perturbation theory; random matrix theory; lattice gauge calculations; SU(2) gauge theory;
D O I
10.1016/S0370-2693(99)01167-3
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Recently, the chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses. The deviations of lattice results from random matrix theory starting around the so-called Thouless energy can be understood in terms of chiral perturbation theory as well. Comparison of lattice data with chiral perturbation theory formulae allows us to compute the pion decay constant. We present results from a calculation for quenched SU(2) with Kogut-Susskind fermions at beta = 2.0 and 2,2. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:293 / 300
页数:8
相关论文
共 27 条
[1]   Evidence for quenched chiral logs [J].
Bardeen, W ;
Duncan, A ;
Eichten, E ;
Thacker, H .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1999, 73 :243-245
[2]   Microscopic universality in the spectrum of the lattice Dirac operator [J].
Berbenni-Bitsch, ME ;
Meyer, S ;
Schafer, A ;
Verbaarschot, JJM ;
Wettig, T .
PHYSICAL REVIEW LETTERS, 1998, 80 (06) :1146-1149
[3]   Crossover to non-universal microscopic spectral fluctuations in lattice gauge theory [J].
Berbenni-Bitsch, ME ;
Gockeler, M ;
Guhr, T ;
Jackson, AD ;
Ma, JZ ;
Meyer, S ;
Schafer, A ;
Weidenmuller, HA ;
Wettig, T ;
Wilke, T .
PHYSICS LETTERS B, 1998, 438 (1-2) :14-20
[4]  
BERBENNIBITSCH ME, HEPLAT9901013
[5]   CHIRAL PERTURBATION-THEORY FOR THE QUENCHED APPROXIMATION OF QCD [J].
BERNARD, CW ;
GOLTERMAN, MFL .
PHYSICAL REVIEW D, 1992, 46 (02) :853-857
[6]   Recent results from the CP-PACS collaboration [J].
Burkhalter, R .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1999, 73 :3-15
[7]   The microscopic spectral density of the QCD Dirac operator [J].
Damgaard, PH ;
Osborn, JC ;
Toublan, D ;
Verbaarschot, JJM .
NUCLEAR PHYSICS B, 1999, 547 (1-2) :305-328
[8]   THERMODYNAMICS OF CHIRAL SYMMETRY [J].
GASSER, J ;
LEUTWYLER, H .
PHYSICS LETTERS B, 1987, 188 (04) :477-481
[9]  
GOCKELER H, 1999, PHYS REV D, V5909, P4503
[10]   Mass spectrum and decay constants in the continuum limit [J].
Göckeler, M ;
Horsley, R ;
Linke, V ;
Pleiter, D ;
Rakow, PEL ;
Schierholz, G ;
Schiller, A ;
Stephenson, P ;
Stüben, H .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1999, 73 :237-239