Glueballs of Super Yang-Mills from Wrapped Branes

TL;DR

This paper investigates the properties of glueballs in N=1 Super Yang-Mills theory using wrapped brane models in string theory, revealing a discrete spectrum with a mass gap and proposing a regularization method.

Contribution

It provides a detailed analysis of glueball spectra in wrapped brane models, including numerical results and a regularization procedure for normalizability.

Findings

Scalar glueball is a mixture of dilaton and metric components.

The potential exhibits a mass gap and a discrete spectrum.

A regularization procedure is proposed for normalizable states.

Abstract

In this paper we study qualitative features of glueballs in N=1 SYM for models of wrapped branes in IIA and IIB backgrounds. The scalar mode, 0++ is found to be a mixture of the dilaton and the internal part of the metric. We carry out the numerical study of the IIB background. The potential found exhibits a mass gap and produces a discrete spectrum without any cut-off. We propose a regularization procedure needed to make these states normalizable.