PATH-INTEGRAL MEASURE FOR GAUGE-INVARIANT FERMION THEORIES

被引:1094
作者
FUJIKAWA, K
机构
[1] Institute for Nuclear Study, University of Tokyo, Tanashi
关键词
D O I
10.1103/PhysRevLett.42.1195
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that the path-integral measure for gauge-invariant fermion theories is not invariant under the γ5 transformation and the Jacobian gives rise to an extra phase factor corresponding to the Adler-Bell-Jackiw anomaly. The derivation of anomalous" Ward-Takahashi identities by means of the variational derivative can thus be made consistent in the path-integral formalism. © 1979 The American Physical Society."
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页码:1195 / 1198
页数:4
相关论文
共 23 条
  • [1] ABSENCE OF HIGHER-ORDER CORRECTIONS IN ANOMALOUS AXIAL-VECTOR DIVERGENCE EQUATION
    ADLER, SL
    BARDEEN, WA
    [J]. PHYSICAL REVIEW, 1969, 182 (05): : 1517 - &
  • [2] AXIAL-VECTOR VERTEX IN SPINOR ELECTRODYNAMICS
    ADLER, SL
    [J]. PHYSICAL REVIEW, 1969, 177 (5P2): : 2426 - &
  • [3] INDEX THEORY AND AXIAL CURRENT ANOMALY IN 2 DIMENSIONS
    ANSOURIAN, MM
    [J]. PHYSICS LETTERS B, 1977, 70 (03) : 301 - 305
  • [4] HEAT EQUATION AND INDEX THEOREM
    ATIYAH, M
    BOTT, R
    PATODI, VK
    [J]. INVENTIONES MATHEMATICAE, 1973, 19 (04) : 279 - 330
  • [5] ATIYAH MF, 1968, ANN MATH, V87, P484, DOI 10.2307/1970715
  • [6] ANOMALOUS WARD IDENTITIES IN SPINOR FIELD THEORIES
    BARDEEN, WA
    [J]. PHYSICAL REVIEW, 1969, 184 (05): : 1848 - &
  • [7] PSEUDOPARTICLE SOLUTIONS OF YANG-MILLS EQUATIONS
    BELAVIN, AA
    POLYAKOV, AM
    SCHWARTZ, AS
    TYUPKIN, YS
    [J]. PHYSICS LETTERS B, 1975, 59 (01) : 85 - 87
  • [8] A PCAC PUZZLE - PI0-)GAMMAGAMMA IN SIGMA-MODEL
    BELL, JS
    JACKIW, R
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1969, 60 (01): : 47 - +
  • [9] BEREZIN FA, 1966, METHOD 2ND QUANTIZAT
  • [10] MASSLESS EXCITATIONS IN PSEUDOPARTICLE FIELDS
    BROWN, LS
    CARLITZ, RD
    LEE, C
    [J]. PHYSICAL REVIEW D, 1977, 16 (02) : 417 - 422