Confinement and Chiral Symmetry, a Lattice QCD test of AdS/QCD

Abstract

We use lattice QCD simulations to test some of the predictions of proposed AdS/QCD (holographic) duals for QCD. In particular, these duals predict that the scale of chiral symmetry breaking ($\chi$SB) can be varied independently from that of confinement, with the proviso that the scale of $\chi$SB cannot be longer than that of confinement. We simulate lattice QCD with 2 quarks in the fundamental representation of colour and with additional 4-fermion interactions (suggested by AdS/QCD), at finite temperatures. For sufficiently strong 4-fermion interactions, the deconfinement and $\chi$SB transitions occur at different temperatures, the separation depending on the 4-fermion coupling. This confirms that the scales of confinement and $\chi$SB are, in general, different.

7 pages, 3 figures. Talk presented at Lattice 2008, Williamsburg, Virginia, USA

References in corpus (7)

• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• NJL and QCD from String Theory
• Two flavor QCD and Confinement
• Accelerating Staggered Fermion Dynamics with the Rational Hybrid Monte Carlo (RHMC) Algorithm
• Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks
• Separating the scales of confinement and chiral-symmetry breaking in lattice QCD with fundamental quarks
• The N_t=4 finite temperature phase transition for lattice QCD with a weak chiral 4-fermion interaction