1211.1392 (Tarun Grover)
Tarun Grover
We employ the recently conjectured generalization of the c-theorem to 2+1-d to derive non-perturbative results for several strongly interacting field theories. In particular, by demanding that the universal constant part of the entanglement entropy decreases along the renormalization group flow, we find an upper bound Nf = 3.3 on the number of (four-component) flavors below which the non-compact QED-3 undergoes chiral symmetry breaking. Similar arguments imply that the compact QED-3 is always deconfining when Nf > 3.6. We generalize these results to QCD-3 as well. Furthermore, we derive strong constraints imposed by entanglement monotonicity on the nature of quantum phase transitions in condensed matter systems with "topological order".
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http://arxiv.org/abs/1211.1392
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