Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals

By J.Babington, J.Erdmenger, N.Evans, Z.Guralnik, I.Kirsch. 2003

223 citations recorded by the source corpus.

We study gravity duals of large N non-supersymmetric 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 non-constant dilaton and S 5 radius. Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the ¯ΨΨ condensate and meson spectrum associated with these backgrounds. In the AdS-black hole background, a quark-bilinear condensate develops only at non-zero 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bd5d0cbf122e0c6c58561305c287ab48096bc813

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. E. Kiritsis
2. T. Takayanagi
3. R. Myers
4. D. Mateos
5. M. Rangamani
6. V. Hubeny
7. S. Hartnoll
8. A. Karch

In Nuclear and High Energy Physics

1. E. Kiritsis
2. T. Takayanagi
3. V. Hubeny
4. D. Mateos
5. M. Rangamani
6. S. Gubser
7. R. Myers
8. A. Karch

In Statistical and Nonlinear Physics

1. V. Hubeny
2. T. Takayanagi
3. D. Mateos
4. E. Kiritsis
5. A. Karch
6. S. Gubser
7. Hong Liu
8. T. Azeyanagi

Citations in the corpus

• A holographic model of deconfinement and chiral symmetry restoration (2006, background): “(2)On the other hand, there are several models realizing a U(1) axial flavor symmetry, such as [9, 10].”
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions (2007, methodology): “Recent applications to describe chiral symmetry breaking [26] and other meson and baryon properties, have also been carried out within the framework of a topbottom approach to AdS/CFT using higher dimensional branes [27, 28, 29, 30, 31].”
• From Gauge-string duality to strong interactions: A Pedestrian's guide (2009, background): “This phenomenon has been first observed for the D3/D7 system in (114,115) and then has been shown to be a generic outcome of”
• Energy loss of a heavy quark moving through Script N = 4 supersymmetric Yang-Mills plasma (2006, unknown): “Determining this relation requires solving (numerically) for the change in the embedding of the D7-brane induced by the black hole horizon [40,41].”
• Holographic Calculation of Boundary Entropy (2007, methodology): “This technique has been first used for a free energy calculation in [16] and has been confirmed by many calculations since.”
• Holographic operator mixing and quasinormal modes on the brane (2009, methodology): “Further generalizations added temperature to the system by considering black D3-branes, holographically describing a thermal field theory [5].”
• Mesons in gauge/gravity duals (2007, methodology): “This phenomenon is obtained in the gauge/gravity dual description, but is also associated with a particular first order phase transition [18, 33, 34, 35, 36] which is not expected to be present in QCD.”
• Chiral symmetry breaking as open string tachyon condensation (2007, background): “This computation requires the DBI part of the action, and is similar to that in [3, 4].”
• Asymptotic perfect fluid dynamics as a consequence of AdS/CFT correspondence (2005, methodology): “The requirement that the embedding is nonsingular picks [18, 19] the unique physical value of the 〈”
• Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “Specic examples were originally seen in [597, 599, 600], and aspects of these transitions in the D3/D7 system were studied independently in [601–604].”
• Baryons from instantons in holographic QCD (2007, unknown): “∗hata@gauge.scphys.kyoto-u.ac.jp †tsakai@mx.ibaraki.ac.jp ‡sugimoto@eken.phys.nagoya-u.ac.jp §yamato@gauge.scphys.kyoto-u.ac.jp”