Frustration in lattice gauge theory

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

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 appropri...

Lattice Gauge Theory

Supercomputers have recently become a crucial tool for the quantum field the-orist. Applied to the formalism of lattice gauge theory, numerical simulations are providing fundamental quantitative information about the interactions of quarks, the fundamental constituents of those particles which experience nuclear interactions. Perhaps most strikingly, these simulations have provided convincing e...

Lattice gauge theory: A retrospective

I am honored to have this opportunity to give the final talk at this wonderful meeting. I was originally asked to talk about “Lattice gauge theory: past, present, and future.” Well, I really don’t know much about the future, and if I did, I would be out trying to develop the ideas. As for the present, well you have for the last few days been hearing all about it, and there is too much for me to...

Gauge Theory on a Lattice

One approach to field theory, in particular to aspects that are not well treated in perturbation theory, is to approximate the field defined on a spacetime continuum with a lattice field theory, defined on a lattice of space-time points. There has been a great deal of cross-fertilization from considering renormalization from the continuum high-energy physics point of view and from the condensed...

SUq(2) lattice gauge theory.