Glueball Wave Functions in U(1) Lattice Gauge Theory

TL;DR

This study uses Monte Carlo simulations to measure the wavefunctions and sizes of scalar and tensor glueballs in a 3D U(1) lattice gauge model, revealing their radii and phase transition behavior.

Contribution

It provides new measurements of glueball wavefunctions and sizes in U(1) lattice gauge theory, including finite temperature effects and phase transition characteristics.

Findings

Glueball radii are approximately 0.60 and 1.12 in string tension units.

Clear evidence of a deconfined phase at finite temperature.

No significant change in glueball properties across the phase transition.

Abstract

Standard Monte Carlo simulations have been performed for 3-dimensional U(1) lattice gauge model on improved lattices to measure the wavefunction and size of the scalar and the tensor glueballs. Our results show the radii of ~ 0.60 and ~ 1.12 in the units of string tension, or ~0.28 and ~0.52 fm, for the scalar and tensor glueballs, respectively. At finite temperature we see clear evidence of the deconfined phase, and the transition appears to be similar to that of the two-dimensional XY model as expected from universality arguments. Preliminary results show no significant changes in the glueball wave functions and the masses in the deconfined phase.