Path Integral Measures for Two-Dimensional Fermion Theories
- Chicago U., EFI; Fermilab
An apparent discrepancy is noted between Fujikawa's path integral analysis of anomalies and the existence of a family of distinct solutions to the Thirring model. It is proposed that this family of distinct solutions may be obtained in the path integral formalism by employing a family of distinct measures for the fermion functional integration. The new measures are constructed by means of a two-dimensional analog of the Pauli-Gursey-Pursey transformation, and the anomalies are evaluated explicitly for those measures which are close to the usual one.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1847801
- Report Number(s):
- FERMILAB-PUB-85-076-T; FERMILAB-PUB-85-076-T-REV; EFI-82-30-REV.(CHICAGO); oai:inspirehep.net:214300
- Journal Information:
- J.Phys.A, Vol. 19
- Country of Publication:
- United States
- Language:
- English
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