Vacuum structure of twodimensional gauge theories for arbitrary Lie groups
Abstract
Using the wellestablished machinery of Wilson loop calculations we investigate the multiple vacua of twodimensional YangMills theories with infinitely massive adjoint matter. In particular, via group theoretical techniques we calculate string tensions between charges and find the number of vacua for each compact Lie symmetry group. The counting of vacua is in agreement with the standard classification based on the topology of the effective gauge group π_{1}( G/ Z) when one considers arbitrary numbers of adjoint charges in the system. For systems with limited numbers of charges we find additional "metastable" vacuum states. Finally we discuss 't Hooft's disorder operators in this setting as number operators for the multiple vacua.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)005361
 arXiv:
 arXiv:hepph/9701270
 Bibcode:
 1997NuPhB.506..521P
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 16 pages, LaTeX, one table, uses epsf