Quantum Criticality and Yang-Mills Gauge Theory

By Petr Hořava. 2008

192 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b87161d1c4fd8ec500552905cbae5bde1ade155c

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Citations in the corpus

Horava-Lifshitz Cosmology (2009, background): “The introduction and study of non-relativistic gravitational theories and associated gauge theories was performed in [4]-[8].”
Renormalization group in Lifshitz-type theories (2009, methodology): “In particular, in [1, 2, 3] (see also [4]), general gauge theories, including non-relativistic extensions of the Standard Model, were proposed and investigated, while in [5, 6] similar constructions were implemented in Yang-Mills theories in 4+1 space-time dimensions and membrane theory.”
The renormalizability of Hořava–Lifshitz-type gravities (2009, unknown): “usion of fermionic terms into the action, allows the consistent study of the quantum Lifshitz model and generalizations thereof. In this note, we follow the same philosophy. As already pointed out in [18], also HL gravity can be understood as the result of a stochastic quantization, namely of topolo”
On string theory duals of Lifshitz-like fixed points (2009, background): “See [9, 10, 11, 12, 13, 14] for further progress on holographic aspects of this topic.”
Non-relativistic holography (2008, background): “A number of recent works have explored aspects of holography for scale invariant anisotropic systems, see for example [32] for a discussion of higher derivative corrections and [33] for new examples of anisotropic but scale invariant gauge theories.”
On the z=4 Horava-Lifshitz Gravity (2009, unknown): “41 04 v3 [ he p- We consider z = 4 Hořava-Lifshitz gravity in both 3+1 and 4+1 dimensions.”
Field theory at a Lifshitz point (2009, background): “In the original Lifshitz scalar field theory and its generalization to non-Abelian gauge field and gravity[1, 12, 14], one may impose the detailed balance condition to fix the potential.”
Hořava–Lifshitz dark energy (2009, background): “3.1 Absent σ-field 6 3.2 Flat universe with σ-field 7 3.3 Non-flat universe with σ-field 8 3.4 Bounce, turnaround and cyclic behavior 8”
An analytic Lifshitz black hole (2009, background): “It would be nice to understand the connection (if it exists) between the Lifshitz spacetime and non-Abelian Lifshitz-like gauge theories [23, 24].”
Lectures on holographic methods for condensed matter physics (2009, background): “[42] for a discussion of gauge theories with gauge group of rank N .”
Black holes in asymptotically Lifshitz spacetime (2008, background): “It would also be interesting to make contact with recent work [32] on non-relativistic, non-abelian gauge theories which exhibit z = 2 quantum critical behavior.”