SU(N) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions

Abstract

We calculate the low-lying glueball spectrum and various string tensions in SU(N) lattice gauge theories in 2+1 dimensions, and extrapolate the results to the continuum limit. We do so for for the range N=2 to N=16 so as to control the N-dependence with a useful precision. We observe a number of striking near-degeneracies in the various J^PC sectors of the glueball spectrum, in particular between C=+ and C=- states. We calculate the string tensions of flux tubes in a number of representations, and provide evidence that the leading correction to the N-dependence of the k-string tensions varies as 1/N rather than 1/N^2, and that the dominant binding of k fundamental flux tubes into a k-string is via pairwise interactions. We comment on the possible implications of our results for the dynamics of these gauge theories.

52 pages, 14 figures

References in corpus (4)

• Effective String Theory Revisited
• Corrections to Nambu-Goto energy levels from the effective string action
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension

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