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Exotic Quantum Critical Points with Staggered Fermions

2015/11/29 by Venkitesh Ayyar, Ayyar, Venkitesh
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.1511.09088

Proceedings for Lattice 2015, July 2015, Kobe, Japan. 7 pages, 7 figures. arXiv admin note: text overlap with arXiv:1412.2108

arxiv created 2015/11/29 · arxiv updated 2015/12/01

Abstract

We study two flavors of massless staggered fermions interacting via an on-site four-fermion inter- action and argue that the model contains an exotic quantum critical point separating the perturba- tive massless phase from a massive fermion phase at strong couplings where the fermion bilinear condensate remains zero. We believe that no spontaneous symmetry breaking occurs at the tran- sition. We have extensive calculations in three Euclidian dimensions that are consistent with the existence of a single second order phase transition separating the two phases. Although mean field theory suggests that this transition will turn first order at sufficiently large number of dimensions, preliminary results suggest that the transition remains second order in four-dimensions.

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