Quantum Criticality and Yang-Mills Gauge Theory

Details Quantum Criticality and Yang-Mills Gauge Theory Quantum Criticality and Yang-Mills Gauge Theory

2008-11-13

arxiv.org/abs/0811.2217v1

Phys.Lett.B694:172-176,2010

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

We present a family of nonrelativistic Yang-Mills gauge theories in D+1 dimensions whose free-field limit exhibits quantum critical behavior with gapless excitations and dynamical critical exponent z=2. The ground state wavefunction is intimately related to the partition function of relativistic Yang-Mills in D dimensions. The gauge couplings exhibit logarithmic scaling and asymptotic freedom in the upper critical spacetime dimension, equal to 4+1. The theories can be deformed in the infrared by a relevant operator that restores Poincare invariance as an accidental symmetry. In the large-N limit, our nonrelativistic gauge theories can be expected to have weakly curved gravity duals.

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