Investigation of a Toy Model for Frustration in Abelian Lattice Gauge Theory

Details Investigation of a Toy Model for Frustration in Abelian Lattice Gauge Theory Investigation of a Toy Model for Frustration in Abelian Lattice Gauge Theory

1998-03-26

arxiv.org/abs/hep-lat/9803022v1

Int.J.Mod.Phys. A14 (1999) 1125-1138

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 7 figures

Scientific paper

10.1142/S0217751X99000567

We introduce a lattice model with local U(1) gauge symmetry which incorporates explicit frustration in d >2. The form of the action is inspired from the loop expansion of the fermionic determinant in standard lattice QED. We study through numerical simulations the phase diagram of the model, revealing the existence of a frustrated (antiferromagnetic) phase for d=3 and d=4, once an appropriate order parameter is identified.

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