Domain wall fermion and CP symmetry breaking -: art. no. 034506

被引:9
作者
Fujikawa, K
Suzuki, H
机构
[1] Univ Tokyo, Dept Phys, Bunkyo Ku, Tokyo 113, Japan
[2] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
[3] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan
关键词
D O I
10.1103/PhysRevD.67.034506
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We examine the CP properties of chiral gauge theory defined by a formulation of the domain wall fermion, where the light field variables q and (q) over bar together with Pauli-Villars fields Q and (Q) over bar are utilized. It is shown that this domain wall representation in the infinite flavor limit N=infinity is valid only in the topologically trivial sector, and that the conflict among lattice chiral symmetry, strict locality and CP symmetry still persists for finite lattice spacing a. The CP transformation generally sends one representation of lattice chiral gauge theory into another representation of lattice chiral gauge theory, resulting in the inevitable change of propagators. A modified form of lattice CP transformation motivated by the domain wall fermion, which keeps the chiral action in terms of the Ginsparg-Wilson fermion invariant, is analyzed in detail; this provides an alternative way to understand the breaking of CP symmetry at least in the topologically trivial sector. We note that the conflict with CP symmetry could be regarded as a topological obstruction. We also discuss the issues related to the definition of Majorana fermions in connection with the supersymmetric Wess-Zumino model on the lattice.
引用
收藏
页数:19
相关论文
共 68 条
[1]   Axial anomaly and topological charge in lattice gauge theory with overlap dirac operator [J].
Adams, DH .
ANNALS OF PHYSICS, 2002, 296 (02) :131-151
[2]   Global obstructions to gauge-invariance in chiral gauge theory on the lattice [J].
Adams, DH .
NUCLEAR PHYSICS B, 2000, 589 (03) :633-656
[3]  
Borici A, 2000, NUCL PHYS B-PROC SUP, V83-4, P771
[4]   Lattice QCD with Ginsparg-Wilson fermions [J].
Chandrasekharan, S .
PHYSICAL REVIEW D, 1999, 60 (07)
[5]   Some remarks on the Ginsparg-Wilson fermion [J].
Chiu, TW .
NUCLEAR PHYSICS B, 2000, 588 (1-2) :400-416
[6]   Chiral structure of the solutions of the Ginsparg-Wilson relation [J].
Chiu, TW ;
Wang, CW ;
Zenkin, SV .
PHYSICS LETTERS B, 1998, 438 (3-4) :321-326
[7]   Topological charge and the spectrum of exactly massless fermions on the lattice [J].
Chiu, TW .
PHYSICAL REVIEW D, 1998, 58 (07)
[8]   Ginsparg-Wilson relation with R = (aγ5D)2k [J].
Chiu, TW .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2001, 94 :733-736
[9]   Can nonlocal Dirac operators be topologically proper? [J].
Chiu, TW .
PHYSICS LETTERS B, 2001, 498 (1-2) :111-116
[10]   Algebraic generalization of the Ginsparg-Wilson relation [J].
Fujikawa, K .
NUCLEAR PHYSICS B, 2000, 589 (1-2) :487-503