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Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals
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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 ${S}^{5}$ radius. Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the $\overline{\ensuremath{\Psi}}\ensuremath{\Psi}$ 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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Metadata
- Authors
- Babington, J., Erdmenger, J., Evans, N., Guralnik, Z., & Kirsch, I.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2004-03-24
- Volume
- 69
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2140134899
- Cited by
- 532
- References
- 41
- FWCI
- 28.17
- Type
- journal article
- Language
- en
- Open access
- green
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