Article,

Spacelike Wilson loops and roughening

, and .
Physical Review D, 25 (8): 2162--2176 (April 1982)
DOI: 10.1103/PhysRevD.25.2162

Abstract

Spacelike-Wilson-loop operator averages are considered quantitatively in Hamiltonian lattice gauge theory. In 2 + 1 dimensions it is argued that no roughening transition is expected, that is, the spanning surface of an infinite-area loop is always rough, and so a good signal of the deconfining bulk transition should be obtained from strong-coupling expansions. It is shown that the surface width diverges, and that the roughening-induced 1/R potential has the expected strength. Generalizations are discussed and problems pointed out.

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