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Glueball Spectra from a Matrix Model of Pure Yang-Mills Theory

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arxiv 1606.08711 v3 pith:N7TGJ2C7 submitted 2016-06-28 hep-th hep-lathep-ph

Glueball Spectra from a Matrix Model of Pure Yang-Mills Theory

Nirmalendu Acharyya , A. P. Balachandran , Mahul Pandey , Sambuddha Sanyal , Sachindeo Vaidya This is my paper
classification hep-th hep-lathep-ph
keywords yang-millsequationglueballmatrixmodeltheoryagreementallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present variational estimates for the low-lying energies of a simple matrix model that approximates $SU(3)$ Yang-Mills theory on a three-sphere of radius $R$. By fixing the ground state energy, we obtain the (integrated) renormalization group (RG) equation for the Yang-Mills coupling $g$ as a function of $R$. This RG equation allows to estimate the masses of other glueball states, which we find to be in excellent agreement with lattice simulations.

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