Affordable Access

An exact string representation of 3d SU(2) lattice Yang--Mills theory

Authors
  • Conrady, Florian
  • Khavkine, Igor
Type
Preprint
Publication Date
Jun 23, 2007
Submission Date
Jun 23, 2007
Identifiers
arXiv ID: 0706.3423
Source
arXiv
License
Unknown
External links

Abstract

We show that 3d SU(2) lattice Yang--Mills theory can be cast in the form of an exact string representation. The derivation starts from the exact dual (or spin foam) representation of the lattice gauge theory. We prove that every dual configuration (or spin foam) can be equivalently described as a self--avoiding worldsheet of strings on a framing of the lattice. Using this correspondence, we translate the partition function into a sum over closed worldsheets that are weighted with explicit amplitudes. The expectation value of two Polyakov loops with spin j becomes a sum over worldsheets that are bounded by 2j strings along a framing of the loops.

Report this publication

Statistics

Seen <100 times