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Line of critical points in 2+1 dimensions : Quantum critical loop gases and non-abelian gauge theoryFREEDMAN, Michael; NAYAK, Chetan; SHTENGEL, Kirill
Physical review letters, 04/2005, Letnik: 94, Številka: 14Journal Article
In this Letter, we (1) construct a one-parameter family of lattice models of interacting spins; (2) obtain their exact ground states; (3) derive a statistical-mechanical analogy which relates their ground states to O(n) loop gases; (4) show that the models are critical for d</=sqrt2, where d parametrizes the models; (5) note that, for the special values d=2cos(pi/(k+2), they are related to doubled level-k SU(2) Chern-Simons theory; (6) conjecture that they are in the universality class of a nonrelativistic SU(2) gauge theory; and (7) show that its one-loop beta function vanishes for all values of the coupling constant, implying that it is also on a critical line.
