SU(N) Glueball Masses in 2+1 Dimensions
Jesse Carlsson, Bruce H. J. McKellar
TL;DR
This paper analytically computes the lowest glueball masses for various SU(N) gauge theories in 2+1 dimensions using a variational approach, providing insights into non-perturbative spectrum calculations.
Contribution
It introduces an analytic variational method for calculating SU(N) glueball masses in 2+1 dimensions, extending previous numerical studies.
Findings
Calculated glueball masses for SU(2), SU(3), SU(4), SU(5)
Developed analytic techniques for group integrals
Provided mass gap estimates in symmetric and antisymmetric sectors
Abstract
We calculate the masses of the lowest lying eigenstates of improved SU(2), SU(3), SU(4) and SU(5) Hamiltonian lattice gauge theory (LGT) in 2+1 dimensions using an analytic variational approach. The ground state is approximated by a one plaquette trial state and mass gaps are calculated in the symmetric and antisymmetric sectors by minimising over a suitable basis of rectangular states. Analytic techniques are developed to handle the group integrals arising in the calculation.
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