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Mass and wave function of the lightest scalar glueball

Thomas DeGrand

Open publisher page 25 citations

Abstract

I have computed via Monte Carlo simulation the mass of the lightest scalar glueball in quarkless SU(3) gauge theory at lattice coupling \ensuremath{\beta}=6.0, 6.05, and 6.1. Combining these results with other recent string tension and glueball mass measurements, I extract a continuum glueball mass of m/ \ensuremath{\surd}\ensuremath{\sigma} =3.10(15), where \ensuremath{\sigma} is the string tension. From the behavior of the glueball mass with lattice size the mean glueball diameter and effective three-glueball coupling can also be determined.

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What this paper is about

I have computed via Monte Carlo simulation the mass of the lightest scalar glueball in quarkless SU(3) gauge theory at lattice coupling \ensuremath{\beta}=6.0, 6.05, and 6.1. Combining these results with other recent string tension and glueball mass measurements, I extract a continuum glueball mass of m/ \ensuremath{\surd}\ensuremath{\sigma} =3.10(15), where \ensuremath{\sigma} is the string tension. From the behavior of the glueball mass with lattice size the mean glueball diameter and effective three-glueball coupling can also be determined.

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OpenAlex reports 25 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

I have computed via Monte Carlo simulation the mass of the lightest scalar glueball in quarkless SU(3) gauge theory at lattice coupling \ensuremath{\beta}=6.0, 6.05, and 6.1. Combining these results with other recent string tension and glueball mass measurements, I extract a continuum glueball mass of m/ \ensuremath{\surd}\ensuremath{\sigma} =3.10(15), where \ensuremath{\sigma} is the string tension. From the behavior of the glueball mass with lattice size the mean glueball diameter and effective three-glueball coupling can also be determined.

Key concepts: Glueball, Physics, Particle physics, Scalar (mathematics), Sigma, Monte Carlo method, Lattice (music), Quantum chromodynamics

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