corner
corner

Phys. Rev. Lett. 72, 3141–3144 (1994)

Lightlike Wilson loops and gauge invariance of Yang-Mills theory in 1+1 dimensions

Download: PDF (241 kB) Buy this article Export: BibTeX or EndNote (RIS)

A. Bassetto
Dipartimento di Fisica ‘‘G. Galilei,’’ via Marzolo 8-35131 Padova, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Italy

F. De Biasio
Dipartimento di Fisica ‘‘G. Galilei,’’ via Marzolo 8-35131 Padova, Italy

L. Griguolo
Scuola Internazionale Superiore di Studi Avanzati, via Beirut 2-34100 Trieste, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy

Received 31 January 1994; published in the issue dated 16 May 1994

A lightlike Wilson loop is computed in perturbation theory up to O(g4) for pure Yang-Mills theory in 1+1 dimensions, using Feynman and light-cone gauges to check its gauge invariance. After dimensional regularization in intermediate steps, a finite gauge invariant result is obtained, which, however, does not exhibit Abelian exponentiation. Our result is at variance with the common belief that pure Yang-Mills theory is free in 1+1 dimensions, apart perhaps from topological effects.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.72.3141
DOI:
10.1103/PhysRevLett.72.3141
PACS:
11.10.Kk, 11.15.Bt