Conformal Phase Transitions at Weak and Strong Coupling

Details Conformal Phase Transitions at Weak and Strong Coupling Conformal Phase Transitions at Weak and Strong Coupling

2011-07-12

arxiv.org/abs/1107.2324v2

Nucl.Phys.B 858:155-195, 2012

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, harvmac; v2: references added

Scientific paper

10.1016/j.nuclphysb.2012.01.004

D3 and D7-branes intersecting in 2+1 dimensions give rise at low energies to N=4 supersymmetric Yang-Mills theory coupled to defect fermions in the fundamental representation. This theory undergoes a BKT-type phase transition from a conformal phase to one in which the fermions acquire a non-zero mass when the 't Hooft coupling of the N=4 SYM exceeds a critical value. To study this transition, we continue the parameters of the model to a regime where a gravitational description is valid. We use it to calculate the masses of mesons and the phase diagram as a function of temperature and chemical potential. We also comment on the relation of our discussion to the transition from the non-abelian Coulomb phase to a confining one believed to occur in QCD at a critical number of flavors.

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