Monopole clusters in Abelian projected gauge theories
- Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803 (United States)
- Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP (United Kingdom)
We show that the monopole currents which one obtains in the maximally Abelian gauge of SU(2) fall into two quite distinct classes (when the volume is large enough). In each field configuration there is precisely one cluster that permeates the whole lattice volume. It has a current density and a magnetic screening mass that scale and it produces the whole of the string tension. The remaining clusters have a number density that follows an approximate power law {proportional_to}1/l{sup 3} where l is the length of the monopole world line in lattice units. These clusters are localized in space-time with radii which vary as {radical} (l) . In terms of the radius r these {open_quotes}lumps{close_quotes} have a scale-invariant distribution {proportional_to}dr/r{times}1/r{sup 4}. Moreover they appear not to contribute at all to the string tension. The fact that they are scale invariant at small distances would seem to rule out an instanton origin. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 636217
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 1 Vol. 58; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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