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We discuss the conditions under which Higgs and confining regimes in gauge theories with fundamental representation matter fields can be sharply distinguished. It is widely believed that these regimes are smoothly connected unless they are…

High Energy Physics - Theory · Physics 2020-12-30 Aleksey Cherman , Theodore Jacobson , Srimoyee Sen , Laurence G. Yaffe

It is suggested that the center vortex confinement mechanism, familiar in hadronic physics, may have some relevance to high-T$_\text{c}$ phenomena. We focus specifically on the transition from the superconducting phase to the pseudogap…

Strongly Correlated Electrons · Physics 2019-11-22 Jeff Greensite , Kazue Matsuyama

We investigate cosmological phase transitions in various composite Higgs models consisting of four-dimensional asymptotically-free gauge field theories. Each model may lead to a confinement-deconfinement transition and a phase transition…

High Energy Physics - Phenomenology · Physics 2023-06-05 Kohei Fujikura , Yuichiro Nakai , Ryosuke Sato , Yaoduo Wang

We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in…

High Energy Physics - Lattice · Physics 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui

In SU($N$) gauge-Higgs theories, with a single Higgs field in the fundamental representation, there exists in addition to the local gauge symmetry a global SU(2) symmetry, at $N=2$, and a global U(1) symmetry, for $N \ne 2$. We construct a…

High Energy Physics - Theory · Physics 2019-04-02 Jeff Greensite , Kazue Matsuyama

We investigate the properties of the Confinement-Higgs phase transition in the SU(2)-Higgs model. The system is shown to exhibit a transient behavior up to L=24 along which, the order of the phase transition cannot be discerned. In order to…

High Energy Physics - Lattice · Physics 2009-10-30 I. Campos

Some gauge theories with a spontaneously broken $U(1)$ symmetry exhibit fractional Aharonov-Bohm (AB) phases around vortices in the Higgs regime. We discuss continuity between confining and Higgs regimes in such gauge theories with…

High Energy Physics - Theory · Physics 2024-06-27 Yui Hayashi

We address emergent higher-form symmetry in Higgs phases with superfluidity. The emergent symmetry appears if a matter field is invariant under a transformation of a common subgroup of gauge and global $\mathrm{U}(1)$ symmetries. We…

High Energy Physics - Theory · Physics 2022-11-22 Yoshimasa Hidaka , Dan Kondo

Considered is 4-dimensional ${\cal N}=1$ supersymmetric $SU(N_c)$ QCD (SQCD) with $1\leq N_F\leq N_c-1$ equal mass quark flavors in the fundamental representation. The gauge invariant order parameter $\rho$ is introduced distinguishing…

High Energy Physics - Theory · Physics 2023-09-14 Victor L. Chernyak

We further investigate center vortex percolation and Coulomb gauge remnant symmetry breaking in the SU(2) gauge-Higgs model. We show that string breaking is visible in Polyakov line correlators on the center projected lattice, that our…

High Energy Physics - Lattice · Physics 2009-11-11 J. Greensite , S. Olejnik

We propose that the Higgs phase of a gauge Higgs theory is the phase of spontaneously broken custodial symmetry, and present a new gauge invariant order parameter for custodial symmetry breaking which is very closely analogous to the…

High Energy Physics - Theory · Physics 2020-03-25 Jeff Greensite , Kazue Matsuyama

We investigate spontaneously symmetry breaking states in the attractive SU($N$) Hubbard model at half filling. Combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method, we obtain the finite temperature phase…

Strongly Correlated Electrons · Physics 2017-02-06 Akihisa Koga , Hiromasa Yanatori

Lars Onsager and Richard Feynman envisioned that the three-dimensional (3D) superfluid-to-normal $\lambda$ transition in $^{4}$He occurs through the proliferation of vortices. This process should hold for every phase transition in the same…

Using a simplified lattice version of the electroweak sector of the standard model, with dynamical fermions excluded, we determine at fixed Weinberg angle the transition line between the confined phase and the Higgs phase, the latter…

High Energy Physics - Lattice · Physics 2023-12-27 Shivam Gangwani , Jeff Greensite , Anass Oualla

It is argued that the phase diagram of the 3D Compact U(1) Lattice Higgs Model is more refined than generally thought. The confined and Higgs phases are separated by a well-defined phase boundary, marked by proliferating vortices. It is…

High Energy Physics - Lattice · Physics 2007-05-23 Sandro Wenzel , Elmar Bittner , Wolfhard Janke , Adriaan M. J. Schakel , Arwed Schiller

Motivated by recent work connecting Higgs phases to symmetry protected topological (SPT) phases, we investigate the interplay of gauge redundancy and global symmetry in lattice gauge theories with Higgs fields in the presence of a boundary.…

Strongly Correlated Electrons · Physics 2025-10-22 Kristian Tyn Kai Chung , Rafael Flores-Calderón , Rafael C. Torres , Pedro Ribeiro , Sergej Moroz , Paul McClarty

The 3-d Z(2) lattice gauge-Higgs theory is cast in a partial axial gauge leaving a residual Z(2) symmetry, global in two directions and local in one. It is shown both analytically and numerically that this symmetry breaks spontaneously in…

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

The properties of the Confinement-Higgs phase transition in the SU(2)-Higgs model with fixed modulus are investigated. We show that the system exhibits a transient behavior up to L=24 along which the order of the phase transition cannot be…

High Energy Physics - Lattice · Physics 2009-10-30 Isabel Campos

We determine the phase structure of an SU(2) gauge theory with an adjoint scalar on $R^{3}\times S^{1}$ using semiclassical methods. There are two global symmetries: a $Z(2)_{H}$ symmetry associated with the Higgs field and a $Z(2)_{C}$…

High Energy Physics - Theory · Physics 2012-06-20 Hiromichi Nishimura , Michael C. Ogilvie

The phase diagram is investigated for SU(2) lattice gauge theory in d=3, coupled to adjoint scalars. For small values of the quartic scalar coupling, lambda, the transition separating Higgs and confinement phases is found to be first-order,…

High Energy Physics - Lattice · Physics 2009-10-28 A. Hart , O. Philipsen , J. D. Stack , M. Teper
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