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arXiv · 0811.2217

Quantum Criticality and Yang-Mills Gauge Theory

Petr Horava
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Abstract

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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Petr Horava. 2008-11-13. Quantum Criticality and Yang-Mills Gauge Theory. https://doi.org/10.1016/j.physletb.2010.09.055

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