Dual variables for the SU(2) lattice gauge theory at finite temperature

Details Dual variables for the SU(2) lattice gauge theory at finite temperature Dual variables for the SU(2) lattice gauge theory at finite temperature

1997-09-09

arxiv.org/abs/hep-lat/9709021v1

Phys.Rev. D58 (1998) 074508

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, LaTeX, 4 figures are included in the latex file

Scientific paper

10.1103/PhysRevD.58.074508

We study the three-dimensional SU(2) lattice gauge theory at finite temperature using an observable which is dual to the Wilson line. This observable displays a behaviour which is the reverse of that seen for the Wilson line. It is non-zero in the confined phase and becomes zero in the deconfined phase. At large distances, it's correlation function falls off exponentially in the deconfined phase and remains non-zero in the confined phase. The dual variable is non-local and has a string attached to it which creates a Z(2) interface in the system. It's correlation function measures the string tension between oppositely oriented Z(2) domains. The construction of this variable can also be made in the four-dimensional theory where it measures the surface tension between oppositely oriented Z(2) domains.

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