Separation of Spontaneous Chiral Symmetry Breaking and Confinement via AdS/CFT Correspondence

TL;DR

This paper uses the AdS/CFT correspondence to distinguish between spontaneous chiral symmetry breaking and confinement in gauge theories, showing they are not inherently connected.

Contribution

It demonstrates, through probe D7-brane analysis, that chiral symmetry breaking and confinement are separate phenomena in non-supersymmetric deformations of AdS_5 x S^5.

Findings

Chiral symmetry breaking occurs independently of confinement.

Probe D7-brane dynamics reveal separate mechanisms.

Chiral bi-fermion condensation is not linked to confinement.

Abstract

We analyze, in the framework of AdS/CFT correspondence, the gauge theory phase structure that are supposed to be dual to the recently found non-supersymmetric dilatonic deformations to AdS_5 X S^5 in type IIB string theory. Analyzing the probe D7-brane dynamics in the backgrounds of our interest, which corresponds to the fundamental N=2 hypermultiplet, we show that the chiral bi-fermion condensation responsible for spontaneous chiral symmetry breaking is not logically related to the phenomenon of confinement.