Properties of the fixed point lattice Dirac operator in the Schwinger model

被引：13

作者：

Farchioni, F

Laliena, V

机构：

[1] Graz Univ, Inst Theoret Phys, A-8010 Graz, Austria

[2] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland

来源：

PHYSICAL REVIEW D | 1998年 / 58卷 / 05期

关键词：

D O I：

10.1103/PhysRevD.58.054501

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a numerical study of the properties of the fixed point lattice Dirac operator in the Schwinger model. We verify the theoretical bounds on the spectrum, the existence of exact zero modes with definite chirality, and the index theorem. We show by explicit computation that it is possible to find an accurate approximation to the fixed point Dirac operator containing-only very local couplings. [S0556-2821(98)07515-8]

引用

页数：14

共 45 条

[1] INDEX OF ELLIPTIC OPERATORS .4.
ATIYAH, MF
SINGER, IM
[J]. ANNALS OF MATHEMATICS, 1971, 93 (01) : 119 - &
[2] Perfect lattice topology: The quantum rotor as a test case
Bietenholz, W
Brower, R
Chandrasekharan, S
Wiese, UJ
[J]. PHYSICS LETTERS B, 1997, 407 (3-4) : 283 - 289
[3] Instantons and the fixed point topological charge in the two-dimensional O(3) sigma model
Blatter, M
Burkhalter, R
Hasenfratz, P
Niedermayer, F
[J]. PHYSICAL REVIEW D, 1996, 53 (02) : 923 - 932
[4] THE TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE
CAMPOSTRINI, M
DIGIACOMO, A
PANAGOPOULOS, H
[J]. PHYSICS LETTERS B, 1988, 212 (02) : 206 - 210
[5] Three topics in the Schwinger model
de Forcrand, P
Hetrick, JE
Takaishi, T
van der Sijs, AJ
[J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 : 679 - 681
[6] Fixed-point action for fermions in QCD
DeGrand, T
Hasenfratz, A
Hasenfratz, P
Kunszt, P
Niedermayer, F
[J]. NUCLEAR PHYSICS B, 1997, : 942 - 944
[7] NONPERTURBATIVE TESTS OF THE FIXED-POINT ACTION FOR SU(3) GAUGE-THEORY
DEGRAND, T
HASENFRATZ, A
HASENFRATZ, P
NIEDERMAYER, F
[J]. NUCLEAR PHYSICS B, 1995, 454 (03) : 615 - 637
[8] THE CLASSICALLY PERFECT FIXED-POINT ACTION FOR SU(3) GAUGE-THEORY
DEGRAND, T
HASENFRATZ, A
HASENFRATZ, P
NIEDERMAYER, F
[J]. NUCLEAR PHYSICS B, 1995, 454 (03) : 587 - 614
[9] Renormalization group flow and fixed point of the lattice topological charge in the 2D O(3) sigma model
DElia, M
Farchioni, F
Papa, A
[J]. PHYSICAL REVIEW D, 1997, 55 (04) : 2274 - 2282
[10] PRELIMINARY EVIDENCE FOR UA(1) BREAKING IN QCD FROM LATTICE CALCULATIONS
DIVECCHIA, P
FABRICIUS, K
ROSSI, GC
VENEZIANO, G
[J]. NUCLEAR PHYSICS B, 1981, 192 (02) : 392 - 408

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