TY - JOUR

T1 - A holographic model of deconfinement and chiral symmetry restoration

AU - Aharony, Ofer

AU - Sonnenschein, Jacob

AU - Yankielowicz, Shimon

N1 - Funding Information:
We would like to thank S. Minwalla, H. Neuberger, B. Svetitsky, M. Van Raamsdonk and especially D. Kutasov for useful discussions. J.S. would like to thank O. Sonnenschein for helping with the drawings. This work was supported in part by a grant of DIP (H.52) and by the Albert Einstein Minerva Center for Theoretical Physics at the Weizmann Institute. The work of O.A. was supported in part by the Israel–US Binational Science Foundation, by the Israel Science Foundation (Grant number 1399/04), by the Braun–Roger–Siegl foundation, by the European network HPRN-CT-2000-00122, by a grant from the G.I.F., the German–Israeli Foundation for Scientific Research and Development, and by Minerva. The work of J.S. and S.Y. was supported in part by the Israel Science Foundation (Grant number 03200306).

PY - 2007/6

Y1 - 2007/6

N2 - We analyze the finite temperature behavior of the Sakai-Sugimoto model, which is a holographic dual of a theory which spontaneously breaks a U(Nf)L × U(Nf)R chiral flavor symmetry at zero temperature. The theory involved is a 4 + 1 dimensional supersymmetric SU(Nc) gauge theory compactified on a circle of radius R with anti-periodic boundary conditions for fermions, coupled to Nf left-handed quarks and Nf right-handed quarks which are localized at different points on the compact circle (separated by a distance L). In the supergravity limit which we analyze (corresponding in particular to the large Nc limit of the gauge theory), the theory undergoes a deconfinement phase transition at a temperature Td = 1/2πR. For quark separations obeying L > Lc ≃ 0.97 * R the chiral symmetry is restored at this temperature, but for L < Lc ≃ 0.97 * R there is an intermediate phase which is deconfined with broken chiral symmetry, and the chiral symmetry is restored at TχSB ≃ 0.154/L. All of these phase transitions are of first order.

AB - We analyze the finite temperature behavior of the Sakai-Sugimoto model, which is a holographic dual of a theory which spontaneously breaks a U(Nf)L × U(Nf)R chiral flavor symmetry at zero temperature. The theory involved is a 4 + 1 dimensional supersymmetric SU(Nc) gauge theory compactified on a circle of radius R with anti-periodic boundary conditions for fermions, coupled to Nf left-handed quarks and Nf right-handed quarks which are localized at different points on the compact circle (separated by a distance L). In the supergravity limit which we analyze (corresponding in particular to the large Nc limit of the gauge theory), the theory undergoes a deconfinement phase transition at a temperature Td = 1/2πR. For quark separations obeying L > Lc ≃ 0.97 * R the chiral symmetry is restored at this temperature, but for L < Lc ≃ 0.97 * R there is an intermediate phase which is deconfined with broken chiral symmetry, and the chiral symmetry is restored at TχSB ≃ 0.154/L. All of these phase transitions are of first order.

KW - Chiral symmetry

KW - Gauge/gravity duality

UR - http://www.scopus.com/inward/record.url?scp=34247860950&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2006.11.002

DO - 10.1016/j.aop.2006.11.002

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AN - SCOPUS:34247860950

SN - 0003-4916

VL - 322

SP - 1420

EP - 1443

JO - Annals of Physics

JF - Annals of Physics

IS - 6

ER -