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Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals

Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals
Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals
We study gravity duals of large N nonsupersymmetric gauge theories with matter in the fundamental representation by introducing a D7-brane probe into deformed AdS backgrounds. In particular, we consider a D7-brane probe in both the AdS Schwarzschild black hole solution and in the background found by Constable and Myers, which involves a nonconstant dilaton and S5 radius.
Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the Psi-bar Psi condensate and meson spectrum associated with these backgrounds. In the AdS–black-hole background, a quark-bilinear condensate develops only at a nonzero quark mass. We speculate on the existence of a third order phase transition at a critical quark mass where the D7 embedding undergoes a geometric transition. In the Constable-Myers background, we find a chiral symmetry breaking condensate as well as the associated Goldstone boson in the limit of small quark mass. The existence of the condensate ensures that the D7-brane never reaches the naked singularity at the origin of the deformed AdS space.
1550-7998
066007-[13pp]
Babington, J.
9fed0047-d562-4fae-9042-d5a64d5f0c01
Erdmenger, J.
22f87c1c-747a-4bd8-94d4-924d0031a64d
Evans, N.J.
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Guralnik, Z.
837ab0f6-8b5d-45a3-8563-be347d9751d4
Kirsch, I.
dd7b4adb-06d9-48f6-be5e-49419513a901
Babington, J.
9fed0047-d562-4fae-9042-d5a64d5f0c01
Erdmenger, J.
22f87c1c-747a-4bd8-94d4-924d0031a64d
Evans, N.J.
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Guralnik, Z.
837ab0f6-8b5d-45a3-8563-be347d9751d4
Kirsch, I.
dd7b4adb-06d9-48f6-be5e-49419513a901

Babington, J., Erdmenger, J., Evans, N.J., Guralnik, Z. and Kirsch, I. (2004) Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals. Physical Review D, 69 (6), 066007-[13pp]. (doi:10.1103/PhysRevD.69.066007).

Record type: Article

Abstract

We study gravity duals of large N nonsupersymmetric gauge theories with matter in the fundamental representation by introducing a D7-brane probe into deformed AdS backgrounds. In particular, we consider a D7-brane probe in both the AdS Schwarzschild black hole solution and in the background found by Constable and Myers, which involves a nonconstant dilaton and S5 radius.
Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the Psi-bar Psi condensate and meson spectrum associated with these backgrounds. In the AdS–black-hole background, a quark-bilinear condensate develops only at a nonzero quark mass. We speculate on the existence of a third order phase transition at a critical quark mass where the D7 embedding undergoes a geometric transition. In the Constable-Myers background, we find a chiral symmetry breaking condensate as well as the associated Goldstone boson in the limit of small quark mass. The existence of the condensate ensures that the D7-brane never reaches the naked singularity at the origin of the deformed AdS space.

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Published date: 24 March 2004

Identifiers

Local EPrints ID: 28762
URI: https://eprints.soton.ac.uk/id/eprint/28762
ISSN: 1550-7998
PURE UUID: 8735b0fe-9034-4065-8257-363ffe464ad6

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Date deposited: 05 May 2006
Last modified: 17 Jul 2017 16:00

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