Spectrum of the U(1) staggered Dirac operator in four dimensions

被引:1
作者
Berg, BA [1 ]
Markum, H
Pullirsch, R
Wettig, T
机构
[1] Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA
[2] Vienna Univ Technol, Inst Kernphys, A-1040 Vienna, Austria
[3] Yale Univ, Dept Phys, New Haven, CT 06520 USA
[4] Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USA
关键词
D O I
10.1103/PhysRevD.63.014504
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We compare the low-lying spectrum of the staggered Dirac operator in the confining phase of compact U(1) gauge theory on the lattice to predictions of chiral random matrix theory. The small eigenvalues contribute to the chiral condensate similarly to the SU(2) and SU(3) gauge groups. Agreement with the chiral unitary ensemble is observed below the Thouless energy, which is extracted from the data and found to scale with the lattice size according to theoretical predictions.
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页数:4
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共 38 条
[1]   PHASE-TRANSITIONS IN ABELIAN LATTICE GAUGE THEORIES [J].
BANKS, T ;
MYERSON, R ;
KOGUT, J .
NUCLEAR PHYSICS B, 1977, 129 (03) :493-510
[2]   CHIRAL SYMMETRY-BREAKING IN CONFINING THEORIES [J].
BANKS, T ;
CASHER, A .
NUCLEAR PHYSICS B, 1980, 169 (1-2) :103-125
[3]   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
[4]   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
[5]   PHOTON IN U(1) LATTICE GAUGE-THEORY [J].
BERG, B ;
PANAGIOTAKOPOULOS, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (02) :94-97
[6]   Quantum chaos in compact lattice QED [J].
Berg, BA ;
Markum, H ;
Pullirsch, R .
PHYSICAL REVIEW D, 1999, 59 (09) :1-4
[7]   Magnetic monopoles as agents of chiral symmetry breaking in U(1) lattice gauge theory [J].
Bielefeld, T ;
Hands, S ;
Stack, JD ;
Wensley, RJ .
PHYSICS LETTERS B, 1998, 416 (1-2) :150-156
[8]   Strongly coupled compact lattice QED with staggered fermions [J].
Cox, J ;
Franzki, W ;
Jersak, J ;
Lang, CB ;
Neuhaus, T .
NUCLEAR PHYSICS B, 1998, 532 (1-2) :315-336
[9]   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
[10]   Staggered fermions and gauge field topology [J].
Damgaard, PH ;
Heller, UM ;
Niclasen, R ;
Rummukainen, K .
PHYSICAL REVIEW D, 2000, 61 (01)