Compact lattice formulation of Cho-Faddeev-Niemi decomposition: String tension from magnetic monopoles
- 1. Nagano National College of Technology, 716 Tokuma, Nagano 381-8550 (Japan)
- 2. Takamatsu National College of Technology, Takamatsu 761-8058 (Japan)
- 3. Department of Physics, Faculty of Science, Chiba University, Chiba 263-8522 (Japan) and Graduate School of Science and Technology, Chiba University, Chiba 263-8522 (Japan)
- 4. Graduate School of Science and Technology, Chiba University, Chiba 263-8522 (Japan)
- 5. Computing Research Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801 (Japan) and Graduate Univiversity for Advanced Studies (Sokendai) (Japan)
Description
In this Letter we begin on a new lattice formulation of the non-linear change of variables called the Cho-Faddeev-Niemi decomposition in SU(2) Yang-Mills theory. This is a compact lattice formulation improving the non-compact lattice formulation proposed in our previous paper. Based on this formulation, we propose a new gauge-invariant definition of the magnetic monopole current which guarantees the magnetic charge quantization and reproduces the conventional magnetic-current density obtained in the Abelian projection based on the DeGrand-Toussaint method. Finally, we demonstrate the magnetic monopole dominance in the string tension in SU(2) Yang-Mills theory on a lattice. Our formulation enables one to reproduce in the gauge-invariant way remarkable results obtained so far only in the maximally Abelian gauge
Additional details
Identifiers
- DOI
- 10.1016/j.physletb.2006.11.066;
- arXiv
- arXiv:hep-lat/0604016v3;
- PII
- S0370-2693(06)01508-5;
Publishing Information
- Journal Title
- Physics Letters. Section B
- Journal Volume
- 645
- Journal Issue
- 1
- Journal Page Range
- p. 67-74
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39018460
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BAG MODEL; CURRENT DENSITY; GAUGE INVARIANCE; MAGNETIC MONOPOLES; NONLINEAR PROBLEMS; QUANTIZATION; SU-2 GROUPS; YANG-MILLS THEORY
- Descriptors DEC
- COMPOSITE MODELS; ELEMENTARY PARTICLES; EXTENDED PARTICLE MODEL; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MONOPOLES; PARTICLE MODELS; POSTULATED PARTICLES; QUARK MODEL; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.