Loop representation for 2D Wilson lattice fermions in a scalar background field

Authors
Gattringer, C
Citation
C. Gattringer, Loop representation for 2D Wilson lattice fermions in a scalar background field, NUCL PHYS B, 543(1-2), 1999, pp. 533-542
Citations number
29
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
543
Issue
1-2
Year of publication
1999
Pages
533 - 542
Database
ISI
SICI code
0550-3213(19990322)543:1-2<533:LRF2WL>2.0.ZU;2-A
Abstract
We show that the fermion determinant for 2D Wilson lattice fermions coupled to an external scalar field is equivalent to self-avoiding loops interacti ng with the external field. In an application of the resulting formula we i ntegrate the scalar field with a Gaussian action to generate the N-componen t Gross-Neveu model. The loop representation for this model is discussed. ( C) 1999 Elsevier Science B.V.