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Chiral symmetry breaking in the AdS/CFT correspondence

Jacques Distler1 and Frederic Zamora1

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We study the SU(3)-invariant relevant deformation of D = 4 Script N = 4 SU(N) gauge theory at large N using the AdS/CFT correspondence. At low energies, we obtain a non-supersymmetric 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 non-trivial 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 non-zero ``pion'' decay constant, fπ.


Keywords

Spontaneous Symmetry Breaking

Supergravity Models

String Duality

PACS

11.30.Rd Chiral symmetries

11.30.Pb Supersymmetry

11.30.Qc Spontaneous and radiative symmetry breaking

11.30.Ly Other internal and higher symmetries

11.15.-q Gauge field theories

04.65.+e Supergravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 05 ( 1 May 2000)

Received 8 March 2000, accepted for publication 2 May 2000

Published 30 June 2000



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