CHIRAL-SYMMETRY BREAKING ON THE LATTICE - A STUDY IN THE 2-FLAVOR SCHWINGER MODEL

被引:12
作者
DILGER, H [1 ]
机构
[1] DESY,DEUTSCH ELEKTRONEN SYNCHROTRON,D-22603 HAMBURG,GERMANY
关键词
D O I
10.1016/0550-3213(94)00386-S
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We analyze the euclidean lattice formulation of the two-flavor Schwinger model. The lattice reproduces the U(1)(A)-anomaly of the continuum model, related to topological index theorems. This is shown by a hybrid Monte Carlo calculation of correlation functions of fermion bilinears. For their discussion under the aspects of the anomalous symmetry breaking we relate the representation structure of continuum and lattice symmetry.
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页码:321 / 357
页数:37
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共 42 条
[31]  
NEUDENBERGER W, 1987, THESIS HAMBURG
[32]   LATTICE GAUGE-FIELDS, PRINCIPAL BUNDLES AND THE CALCULATION OF TOPOLOGICAL CHARGE [J].
PHILLIPS, A ;
STONE, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 103 (04) :599-636
[33]   FINITE-TEMPERATURE PHASE-TRANSITIONS IN SU(3) LATTICE GAUGE-THEORY WITH DYNAMICAL, LIGHT FERMIONS [J].
POLONYI, J ;
WYLD, HW ;
KOGUT, JB ;
SHIGEMITSU, J ;
SINCLAIR, DK .
PHYSICAL REVIEW LETTERS, 1984, 53 (07) :644-647
[34]   GAUGE INVARIANCE AND MASS .2. [J].
SCHWINGER, J .
PHYSICAL REVIEW, 1962, 128 (05) :2425-&
[35]   SUSSKIND FERMIONS ON A EUCLIDEAN LATTICE [J].
SHARATCHANDRA, HS ;
THUN, HJ ;
WEISZ, P .
NUCLEAR PHYSICS B, 1981, 192 (01) :205-236
[36]   TOPOLOGICAL CHARGE AND FERMIONS IN THE TWO-DIMENSIONAL LATTICE U(1) MODEL .1. STAGGERED FERMIONS [J].
SMIT, J ;
VINK, JC .
NUCLEAR PHYSICS B, 1988, 303 (01) :36-56
[37]   REMNANTS OF THE INDEX THEOREM ON THE LATTICE [J].
SMIT, J ;
VINK, JC .
NUCLEAR PHYSICS B, 1987, 286 (02) :485-508
[38]  
SUSSKIND L, 1976, PHYS REV D, V16, P3031
[39]   SYMMETRY BREAKING THROUGH BELL-JACKIW ANOMALIES [J].
THOOFT, G .
PHYSICAL REVIEW LETTERS, 1976, 37 (01) :8-11
[40]   DYNAMICAL SYMMETRY-BREAKING IN 2 FLAVOR SU(N) AND SO(N) LATTICE GAUGE-THEORIES [J].
VANDENDOEL, C ;
SMIT, J .
NUCLEAR PHYSICS B, 1983, 228 (01) :122-144