Abstract
gauge theories containing matter fields may be invariant under transformations of some subgroup of the center; the maximum such subgroup is , with depending on and the representations of the various matter fields in the theory. Confining gauge theories in either or space-time dimensions and with matter fields in any representation have string tensions for representation given by with , where is the string tension for the fundamental representation, is a positive finite function and is the n-ality of . This implies that a necessary condition for a theory in this class to have an area law is invariance of the theory under a nontrivial subgroup of the center. Significantly, these results depend on regardless of the value of .
- Received 24 July 2014
DOI:https://doi.org/10.1103/PhysRevD.90.047703
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