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We show that exotic phases arise in generalized lattice gauge theories known as quantum link models in which classical gauge fields are replaced by quantum operators. While these quantum models with discrete variables have a…

High Energy Physics - Lattice · Physics 2013-11-14 D. Banerjee , P. Widmer , F. -J. Jiang , U. -J. Wiese

If an extra supersymmetric U(1) gauge factor exists at the TeV energy scale, which is then broken together with the supersymmetry, there will be several interesting and important phenomenological consequences, not only at the TeV scale, but…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. Keith , Ernest Ma

The $(2+1)$-d U(1) quantum link model is a gauge theory, amenable to quantum simulation, with a spontaneously broken SO(2) symmetry emerging at a quantum phase transition. Its low-energy physics is described by a $(2+1)$-d $\RP(1)$…

Strongly Correlated Electrons · Physics 2015-06-15 D. Banerjee , F. -J. Jiang , P. Widmer , U. -J. Wiese

We apply the recently proposed Sample-based Krylov Quantum Diagonalization (SKQD) method to lattice gauge theories, using the Schwinger model with a $\theta$-term as a benchmark. SKQD approximates the ground state of a Hamiltonian,…

A reformulation of the Thirring model as a gauge theory on both continuum spacetime and discretized lattice is reviewed. In (1+1) dimensions, our result reproduces consistently the bosonization of the massless Thirring model. In (2+1)…

High Energy Physics - Theory · Physics 2007-05-23 Yoonbai Kim

We consider a system of interacting spinless fermions on a two-leg triangular ladder with $\pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total…

Strongly Correlated Electrons · Physics 2023-08-29 Bachana Beradze , Mikheil Tsitsishvili , Emanuele Tirrito , Marcello Dalmonte , Titas Chanda , Alexander Nersesyan

The Microcanonical Fermionic Average method has been used so far in the context of lattice models with phase transitions at finite coupling. To test its applicability to Asymptotically Free theories, we have implemented it in QED$_2$, \it…

High Energy Physics - Lattice · Physics 2009-10-22 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena

To examine the validity of the scenario of the deconfined critical phenomena, we carry out a quantum Monte Carlo simulation for the SU($N$) generalization of the Heisenberg model with four-body and six-body interactions. The quantum phase…

Strongly Correlated Electrons · Physics 2013-12-17 Kenji Harada , Takafumi Suzuki , Tsuyoshi Okubo , Haruhiko Matsuo , Jie Lou , Hiroshi Watanabe , Synge Todo , Naoki Kawashima

Confinement properties of the $1+1$ Schwinger model can bestudied by computing the string tension between two charges. It is finite (vanishing) if the fermions are massive (massless) corresponding to the occurrence of confinement…

High Energy Physics - Theory · Physics 2019-08-28 Joao C. Pinto Barros , Marcello Dalmonte , Andrea Trombettoni

An analysis of scaling along the first-order bulk transition line in fundamental-adjoint SU(2) lattice gauge theory strongly supports the first-order endpoint being a tricritical point, and is inconsistent with it being an ordinary critical…

High Energy Physics - Lattice · Physics 2009-11-10 Michael Grady

Continuous symmetries are believed to emerge at many quantum critical points in frustrated magnets. In this work, we study two candidates of this paradigm: the transverse-field frustrated Ising model (TFFIM) on the triangle and the…

Strongly Correlated Electrons · Physics 2017-10-04 Yan-Cheng Wang , Yang Qi , Shu Chen , Zi Yang Meng

The Hamiltonian formulation of lattice gauge theories plays a central role in quantum simulations of gauge theories, and understanding their spectrum and other properties is expected to become crucial in the upcoming years. The relevant…

High Energy Physics - Lattice · Physics 2026-04-20 Thea Budde , Marina Kristć Marinković , Joao C. Pinto Barros

It is shown how to adapt the non-perturbative coupled cluster method of many-body theory so that it may be successfully applied to Hamiltonian lattice $SU(N)$ gauge theories. The procedure involves first writing the wavefunctions for the…

High Energy Physics - Lattice · Physics 2009-10-22 C. H. Llewellyn Smith , N. J. Watson

Quantum phase transitions driven by electronic correlations are central to understanding the physics of graphene and related two-dimensional materials. A paradigmatic example is the semimetal-to-Mott-insulator transition on the honeycomb…

Strongly Correlated Electrons · Physics 2026-02-10 Fo-Hong Wang , Fanjie Sun , Chenghao He , Xiao Yan Xu

Owing to confinement, the fundamental particles of N=1 Supersymmetric Yang-Mills (SYM) theory, gluons and gluinos, appear only in colourless bound states at zero temperature. Compactifying the Euclidean time dimension with periodic boundary…

High Energy Physics - Lattice · Physics 2015-10-21 G. Bergner , P. Giudice , G. Münster , S. Piemonte

The Einstein-Schrodinger theory is extended to include spin-0 and spin-1/2 sources, and the theory is derived from a Lagrangian density which allows other fields to be easily added. The original theory is also modified by including a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. A. Shifflett

We study the critical behavior of three-dimensional (3D) lattice Abelian-Higgs (AH) gauge models with noncompact gauge variables and multicomponent complex scalar fields, along the transition line between the Coulomb and Higgs phases.…

Statistical Mechanics · Physics 2024-04-16 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Deconfined quantum critical point (DQCP) characterizes the continuous transition beyond Landau-Ginzburg-Wilson paradigm, occurring between two phases that exhibit distinct symmetry breaking. The debate over whether genuine DQCP exists in…

Strongly Correlated Electrons · Physics 2025-11-06 Xuan Zou , Shuai Yin , Zi-Xiang Li , Hong Yao

Emergent symmetries and slow crossover phenomena are central themes in quantum criticality and manifest themselves in the pseudocritical scaling experienced in the context of deconfined criticality. Here we discover its conceptual…

Strongly Correlated Electrons · Physics 2025-09-04 Manuel Weber

We report a phase diagram of the antiferromagnetic spin-1 chain with nearest-neighbor Heisenberg and three-site interactions in the presence of single-ion anisotropy. We show that the Gaussian and Ising transitions that separate the…

Strongly Correlated Electrons · Physics 2025-07-01 Niels T. Pronk , Bowy M. La Rivière , Natalia Chepiga