Two-dimensional BF model quantized in the axial gauge

Authors
Emery, S Kruger, M Rant, J Schweda, M Sommer, T
Citation
S. Emery et al., Two-dimensional BF model quantized in the axial gauge, NUOV CIM A, 111(11), 1998, pp. 1321-1335
Citations number
18
Categorie Soggetti
Physics
Journal title
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS
ISSN journal
11241861 → ACNP
Volume
111
Issue
11
Year of publication
1998
Pages
1321 - 1335
Database
ISI
SICI code
1124-1861(199811)111:11<1321:TBMQIT>2.0.ZU;2-P
Abstract
The two-dimensional topological BF model is quantized in the axial gauge. W e show that this theory is trivially ultraviolet finite and that the usual infrared problem of the propagator of the scalar field in two dimensions is replaced by an easily solvable long-distance problem inherent to the axial gauge. It will also be shown that contrarily to the 3-dimensional case, th e action principle cannot be completely replaced by the various Ward identi ties expressing the symmetries of the model; some of the equation of motion are needed.