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arXiv · 2003.01722

Confinement transition in the QED$_3$-Gross-Neveu-XY universality class

Lukas Janssen·Wei Wang·Michael M. Scherer·Zi Yang Meng·Xiao Yan Xu
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Abstract

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be gained by combining different complementary approaches. Here, we study a confinement transition in a system of $N_f$ flavors of interacting Dirac fermions charged under a U(1) gauge field in 2+1 dimensions. Using Quantum Monte Carlo simulations, we investigate a lattice model that exhibits a continuous transition at zero temperature between a gapless deconfined phase, described by three-dimensional quantum electrodynamics, and a gapped confined phase, in which the system develops valence-bond-solid order. We argue that the quantum critical point is in the universality class of the QED$_3$-Gross-Neveu-XY model. We study this field theory within a $1/N_f$ expansion in fixed dimension as well as a renormalization group analysis in $4-ε$ space-time dimensions. The consistency between numerical and analytical results is revealed from large to intermediate flavor number.

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Lukas Janssen, Wei Wang, Michael M. Scherer, Zi Yang Meng, Xiao Yan Xu. 2020-05-11. Confinement transition in the QED$_3$-Gross-Neveu-XY universality class. https://doi.org/10.1103/physrevb.101.235118

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