Path Integral Solubility of Two-Dimensional Models

Journal Article · Mon Jul 01 00:00:00 EDT 1985 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.33.489· OSTI ID:1155510

Das, Ashok K. ^[1]; Mathur, Vishnu S. ^[2]

---

1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Rochester, New York (United States)
2. Univ. of Rochester, NY (United States)

We apply the technique of Fujikawa to solve for simple two-dimensional models by looking at the nontrivial transformation properties of the fermion measure in the path-integral formalism. We obtain the most general solution for the massless Thirring model and point out how the one-parameter solution reduces to that of Johnson and Sommerfield in a particular limit. We present the most general solution for the massive vector model indicating how it reduces to the solutions of Brown and Sommerfield for different values of the parameter. The solution of a gradient-coupling model is also discussed.

• 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: 1155510
• Report Number(s): FERMILAB-PUB-85-105-T; PRVDAQ
• Journal Information: Physical Review. D, Particles Fields, Vol. 33, Issue 2; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS