Path Integral Measures for Two-Dimensional Fermion Theories

Rubin, Mark A.

doi:10.1088/0305-4470/19/11/019

Title: Path Integral Measures for Two-Dimensional Fermion Theories

Journal Article · Wed May 01 00:00:00 EDT 1985 · J.Phys.A

DOI:https://doi.org/10.1088/0305-4470/19/11/019· OSTI ID:1847801

Rubin, Mark A. ^[1]

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.

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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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