Glueball spectra from a matrix model of pure Yang–Mills theory

Author:

Acharyya Nirmalendu1,Balachandran A. P.23,Pandey Mahul4,Sanyal Sambuddha5,Vaidya Sachindeo46

Affiliation:

1. Optique Nonlinéaire Théorique, Université libre de Bruxelles (U.L.B.), CP 231, 1050 Bruxelles, Belgium

2. Physics Department, Syracuse University, Syracuse, New York 13244-1130, USA

3. The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600113, India

4. Centre for High Energy Physics, Indian Institute of Science, Bengaluru 560012, India

5. International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India

6. Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada

Abstract

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 mass of other glueball states, which we find to be in excellent agreement with lattice simulations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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