SO(2N) and SU(N) gauge theories in 2+1 dimensions

Abstract

We perform an exploratory investigation of how rapidly the physics of SO(2N) gauge theories approaches its N=oo limit. This question has recently become topical because SO(2N) gauge theories are orbifold equivalent to SU(N) gauge theories, but do not have a finite chemical potential sign problem. We consider only the pure gauge theory and, because of the inconvenient location of the lattice strong-to-weak coupling 'bulk' transition in 3+1 dimensions, we largely confine our numerical calculations to 2+1 dimensions. We discuss analytic expectations in both D=2+1 and D=3+1, show that the SO(6) and SU(4) spectra do indeed appear to be the same, and show that a number of mass ratios do indeed appear to agree in the large-N limit. In particular SO(6) and SU(3) gauge theories are quite similar except for the values of the string tension and coupling, both of which differences can be readily understood.

27 pages, 9 figures

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• Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
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Cited by in corpus (8)

• Generating SU(Nc) pure gauge lattice QCD configurations on GPUs with CUDA
• SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
• On the weak N-dependence of SO(N) and SU(N) gauge theories in 2+1 dimensions
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• The deconfining phase transition of SO(N) gauge theories in 2+1 dimensions
• Continuous transition between Ising magnetic order and a chiral spin liquid
• $(2+1)$-$d$ Glueball Spectrum within a Constituent Picture
• Casimir scaling in glueballs in SU($N$) and Sp($2N$) gauge theories: hints from constituent approaches