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Study of 3-dimensional SU(2) gauge theory with adjoint Higgs as a model for cuprate superconductors

Authors :
Catumba, Guilherme
Hiraguchi, Atsuki
Hou, George W. -S.
Jansen, Karl
Kao, Ying-Jer
Lin, C. -J. David
Ramos, Alberto
Sarkar, Mugdha
Publication Year :
2023

Abstract

We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint representation of the gauge group, that has been recently proposed by Sachdev et al. to explain the physics of cuprate superconductors near optimal doping. The symmetric confining phase of the theory corresponds to the usual Fermi-liquid phase while the broken (Higgs) phase is associated with the interesting pseudogap phase of cuprates. We employ the Hybrid Monte-Carlo algorithm to study the phase diagram of the theory. We find the existence of a variety of broken phases in qualitative accordance with earlier mean-field predictions and discuss their role in cuprates. In addition, we investigate the behavior of Polyakov loop to probe the confinement/deconfinement phase transition, and find that the Higgs phase hosts a stable deconfining phase consistent with previous studies.<br />Comment: 7 pages, 4 figures, Proceedings of the 40th International Symposium on Lattice Field Theory (LATTICE2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2312.05537
Document Type :
Working Paper