Published June 2007 | Version v1
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Area-preserving diffeomorphisms in gauge theory on a non-commutative plane. A lattice study

Creators

  • 1. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). John von Neumann-Inst. fuer Computing NIC
  • 2. Humboldt-Universitaet, Berlin (Germany). Inst. fuer Physik
  • 3. INFN, Sezione di Perugia (Italy)
  • 4. Univ. degli Studi di Perugia (Italy). Dipt. di Fisica
  • 5. Massachusetts Institute of Technology, Cambridge, MA (United States). Center for Theoretical Physics, Lab. for Nuclear Sciences

Description

We consider Yang-Mills theory with the U(1) gauge group on a non-commutative plane. Perturbatively it was observed that the invariance of this theory under area-preserving diffeomorphisms (APDs) breaks down to a rigid subgroup SL(2,R). Here we present explicit results for the APD symmetry breaking at finite gauge coupling and finite non-commutativity. They are based on lattice simulations and measurements of Wilson loops with the same area but with a variety of different shapes. Our results confirm the expected loss of invariance under APDs. Moreover, they strongly suggest that non-perturbatively the SL(2,R) symmetry does not persist either. (orig.)

Availability note (English)

Available from INIS in electronic form

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Additional details

Publishing Information

Imprint Pagination
28 p.
ISSN
0418-9833
Report number
DESY--07-043

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
38071435
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; COMMUTATION RELATIONS; COMPUTERIZED SIMULATION; LATTICE FIELD THEORY; SCALING LAWS; SL GROUPS; SYMMETRY BREAKING; TOPOLOGICAL MAPPING; U-1 GROUPS; UNIFIED GAUGE MODELS; WILSON LOOP; YANG-MILLS THEORY
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; LIE GROUPS; MAPPING; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; SIMULATION; SYMMETRY GROUPS; TRANSFORMATIONS; U GROUPS

Optional Information

Secondary number(s)
HU-EP--07-09; MIT-CTP--3827