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

Abstract

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.

7 pages, 7 figures

References in corpus (3)

• Monopole Percolation and The Universality Class of the Chiral Transition in Four Flavor Noncompact Lattice QED
• A new approach to noncompact lattice qed with light fermions
• Fermionic effective action and the pahse estructure of non compact quantum electrodynamics in 2+1 dimensions