Contribution to a conference proceedings PUBDB-2024-07805

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

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2024
Sissa Medialab Trieste, Italy

40th International Symposium on Lattice Field Theory, Lattice 2023, BataviaBatavia, United States, 30 Jul 2023 - 5 Aug 20232023-07-302023-08-05 Sissa Medialab Trieste, Italy (LATTICE2023), 7 pp. () [10.22323/1.453.0362]  GO

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Report No.: arXiv:2312.05537

Abstract: We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjointrepresentation of the gauge group, that has been recently proposed by Sachdev et al. to explain thephysics of cuprate superconductors near optimal doping. The symmetric confining phase of thetheory corresponds to the usual Fermi-liquid phase while the broken (Higgs) phase is associatedwith the interesting pseudogap phase of cuprates. We employ the Hybrid Monte-Carlo algorithmto study the phase diagram of the theory. We find the existence of a variety of broken phases inqualitative accordance with earlier mean-field predictions and discuss their role in cuprates. Inaddition, we investigate the behavior of Polyakov loop to probe the confinement/deconfinementphase transition, and find that the Higgs phase hosts a stable deconfining phase consistent withprevious studies.

Keyword(s): gauge field theory: SU(2) ; critical phenomena: deconfinement ; Monte Carlo: hybrid ; confinement ; superconductivity ; numerical calculations ; stability ; Polyakov loop ; Fermi liquid ; Higgs particle


Note: 7 pages, 4 figures, Proceedings of the 40th International Symposium on Lattice Field Theory (LATTICE2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory

Contributing Institute(s):
  1. Centre f. Quantum Techno. a. Application (CQTA)
  2. Zeuthen Particle PhysicsTheory (Z_ZPPT)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. QUEST - QUantum computing for Excellence in Science and Technology (101087126) (101087126)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2024
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 Record created 2024-12-16, last modified 2025-07-15


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