Abstract
Fujikawa's recently proposed derivation of the anomaly from the path integral is examined. It is attempted to give a better understanding of his work. In particular, evasions of his result are discussed; for example it is shown how chiralU(1) axial invariance can be maintained by employing a gauge variant regularization prescription. A brief connection with the point-splitting method is also made.
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References
Excellent reviews on the Abelian anomaly include S. Adler in: Lectures on elementary particles in quantum field theory, Vol. I. Brandeis University Summer Institute. Cambridge: MIT 1970; R. Jackiw in: Lectures on current algebra and its applications. Eds. D. Gross, R. Jackiw, S. Treiman, Princeton: Princeton University Press 1972
W.A. Bardeen: Nucl. Phys.B75, 246 (1974); R.J. Crewther: Acta Phys. Austr. Suppl.19, 47 (1979); Riv. Nuovo Cimento2, 63 (1979); Kaiserslautern lectures, 1979, Vol. 55B, NATO Series. New York, London: Plenum 1980
G. 't Hooft in: Recent Developments in Gauge Theories. Cargese, 1979. Eds. G. 't Hooft et al. New York: Plenum 1980; G. Veneziano: Phys. Lett.95B, 90 (1980); S. Coleman, E. Witten: Phys. Rev. Lett.45, 100 (1980); T. Banks, Y. Frishman, A. Schwimmer, S. Yankielowicz: Weizmann Institute, prepritn 27, June (1980); A. Solomone, J. Schechter, T. Tudron: Phys. Rev.D24, 492 (1981)
See for instance R. Jackiw: [1]
K. Fujikawa: Phys. Rev. Lett.42, 1195 (1979); Phys. Rev.D10, 2048 (1980); XX International Conference on High Energy Physics, Madison, Wisconsin, 1980. Part 2, p. 917. New York: American Institute of Physics 1981
D. Gross, R. Jackiw: Phys. Rev.D6, 477 (1972); S. Coleman in: Pointlike structures inside and outside Hadrons, Erice, Italy, 1979. Ed. A. Zichichi. New York: Plenum 1982
R.J. Crewther: [2]; Phys. Lett.70B, 349 (1979); Phys. Lett.93B, 75 (1980)
G. Veneziano: Nucl. Phys.B159, 213 (1979); G.A. Christos: ICTP, Trieste, preprint IC/82/36
See, for instance, S. Coleman, E. Witten: [3]
S. Coleman: [6]
G.A. Christos: unpublished
J. Schwinger: Phys. Rev.82, 664 (1951)
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Address after 1 February 1983: Department of Theoretical Physics, Institute of Advanced Studies, Australian National University, P.O.B. 4, Canberra, A.C.T. 2600, Australia
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Christos, G.A. Anomaly extraction from the path integral. Z. Phys. C - Particles and Fields 18, 155–162 (1983). https://doi.org/10.1007/BF01572478
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DOI: https://doi.org/10.1007/BF01572478