Journal
PHYSICS LETTERS B
Volume 749, Issue -, Pages 448-453Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2015.08.023
Keywords
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Funding
- University of Cyprus
- STFC STEP award [ST/J500641/1]
- STFC grant [ST/L000474/1]
- EPSRC
- Oxford University
- STFC [ST/J500641/1, ST/L000474/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000474/1, ST/J500641/1] Funding Source: researchfish
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We consider (continuum) mass ratios of the lightest 'glueballs' as a function of N for SO(N) and SU(N) lattice gauge theories in D = 2 + 1. We observe that the leading large N correction is usually sufficient to describe the N-dependence of SO(N >= 3) and SU(N >= 2), within the errors of the numerical calculation. Just as interesting is the fact that the coefficient of this correction almost invariably turns out to be anomalously small, for both SO(N) and SU(N). We point out that this can follow naturally from the strong constraints that one naively expects from the Lie algebra equivalence between certain SO(N) and SU(N') theories and the equivalence of SO(infinity) and SU(infinity). The same argument for a weak N-dependence can in principle apply to SU(N) and SO(N) gauge theories in D = 3 + 1. (C) 2015 The Authors. Published by Elsevier B.V.
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