University of Surrey

# Scaling properties of the perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory

Bassetto, A, Nardelli, G and Torrielli, A (2002) Scaling properties of the perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory Phys.Rev. D, 66.

 Preview
Text
BNTSecond.pdf - Accepted version Manuscript

Download (221kB)

## Abstract

Commutative Yang-Mills theories in 1+1 dimensions exhibit an interesting interplay between geometrical properties and U(N) gauge structures: in the exact expression of a Wilson loop with $n$ windings a non trivial scaling intertwines $n$ and $N$. In the non-commutative case the interplay becomes tighter owing to the merging of space-time and internal'' symmetries in a larger gauge group $U(\infty)$. We perform an explicit perturbative calculation of such a loop up to ${\cal O}(g^6)$; rather surprisingly, we find that in the contribution from the crossed graphs (the genuine non-commutative terms) the scaling we mentioned occurs for large $n$ and $N$ in the limit of maximal non-commutativity $\theta=\infty$. We present arguments in favour of the persistence of such a scaling at any perturbative order and succeed in summing the related perturbative series.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Bassetto, A
Nardelli, G
Torrielli, A
Date : 2002
DOI : 10.1103/PhysRevD.66.085012
Related URLs :
Additional Information : Copyright 2002 The American Physical Society
Depositing User : Symplectic Elements
Date Deposited : 27 Jan 2012 12:29
Last Modified : 31 Oct 2017 14:17
URI: http://epubs.surrey.ac.uk/id/eprint/72395

### Actions (login required)

 View Item

### Downloads

Downloads per month over past year

## Information about this web site

, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800