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Sp(2N) Yang-Mills towards large N

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arxiv 1912.09788 v2 pith:RFDCDVTS submitted 2019-12-20 hep-lat hep-phhep-th

Sp(2N) Yang-Mills towards large N

classification hep-lat hep-phhep-th
keywords gaugetheorieslargespectrumtowardsyang-millsapproachapproaches
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Non-perturbative aspects of the physics of $Sp(2N)$ gauge theories are interesting for phenomenological and theoretical reasons, and little studied so far, particularly in the approach to the large-$N$ limit. We examine the spectrum of glueballs and the string tension of Yang-Mills theories based upon these groups. Glueball masses are calculated numerically with a variational method from Monte-Carlo generated lattice gauge configurations. After taking continuum limits for $N$ = 1, 2, 3 and 4, we extrapolate the results towards large $N$. We compare the resulting spectrum with that of $SU(N)$ gauge theories, both at finite $N$ and as $N$ approaches infinity.

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