Chiral Symmetry Breaking in the AdS/CFT Correspondence

Details Chiral Symmetry Breaking in the AdS/CFT Correspondence Chiral Symmetry Breaking in the AdS/CFT Correspondence

1999-11-05

arxiv.org/abs/hep-th/9911040v2

JHEP 0005 (2000) 005

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure. LaTeX2e, using utarticle.cls (included). Several clarifications and added references. This is the publishe

Scientific paper

10.1088/1126-6708/2000/05/005

We study the SU(3)-invariant relevant deformation of D=4 N=4 SU(N) gauge theory at large N using the AdS/CFT correspondence. At low energies, we obtain a nonsupersymmetric gauge theory with three left-handed quarks in the adjoint of SU(N). In terms of the five dimensional gauged supergravity, there is an unstable critical point in the scalar potential for fluctuations of some fields in a nontrivial representation of the symmetry group SU(3). On the field theory side, this corresponds to dynamical breaking of the SU(3) chiral symmetry down to SO(3). We compute the condensate of the quark bilinear and the two-point correlation function of the spontaneously broken currents from supergravity and find a nonzero `pion' decay constant, f_pi.

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