U(1)-gauged 2-flavor spin system in 3-D
Abstract
We study a U(1)-gauged 2-component spin system in 3 dimensions. For the gauge fields we use the Villain formulation with a constraint that removes lattice monopoles and in this form couple the gauge fields to 2-component spins. We discuss the simulation strategies for this highly constraint system and present first results for the phase structure. Our preliminary Monte Carlo simulations indicate that the system undergoes a second order phase transition driven by the spin coupling. However, the correlation length critical exponent is inconsistent with the conformal bootstrap constraint for a critical (rather than multi-critical) fixed point, which forces a conclusion that the transition is likely weakly 1st order, passing close to a multi-critical point. To reliably resolve the nature of the transition, simulations on larger lattices will be necessary.
Cite
@article{arxiv.2502.03371,
title = {U(1)-gauged 2-flavor spin system in 3-D},
author = {Christof Gattringer and Tin Sulejmanpasic},
journal= {arXiv preprint arXiv:2502.03371},
year = {2025}
}
Comments
To appear in the Proceedings of "The 41st International Symposium on Lattice Field Theory", PoS(LATTICE2024)388