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We propose a novel method to distinguish states of matter by identifying spontaneous symmetry breaking on extended objects, such as vortices, even in the absence of a bulk phase transition. As a specific example, we investigate the phase…

High Energy Physics - Theory · Physics 2025-03-06 Tomoya Hayata , Yoshimasa Hidaka , Dan Kondo

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 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

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 show that the Higgs and confinement phases of a gauge Higgs theory, with the Higgs field in the fundamental representation of the gauge group, are distinguished both by a broken or unbroken realization of the global center subgroup of…

High Energy Physics - Lattice · Physics 2021-12-16 Jeff Greensite , Kazue Matsuyama

According to recent work of Greensite and Matsuyama, the Higgs phase of a gauge Higgs theory is distinguished from the confinement and massless phases by the spontaneous breaking of a global center subgroup of the gauge group, and by…

High Energy Physics - Lattice · Physics 2022-03-01 David Ward

In gauge theories with fundamental matter there is typically no sharp way to distinguish confining and Higgs regimes, e.g. using generalized global symmetries acting on loop order parameters. It is standard lore that these two regimes are…

High Energy Physics - Theory · Physics 2024-09-25 Thomas T. Dumitrescu , Po-Shen Hsin

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

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

The concept of a (de)confined phase in QFT is well-defined in the presence of $1$-form symmetries and their spontaneous symmetry breaking. However, in scenarios where such symmetries are absent, confinement is not a well-defined phase…

High Energy Physics - Theory · Physics 2025-02-18 Finn Gagliano , Andrea Grigoletto , Kantaro Ohmori

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

Considered is the standard 4-dimensional ${\cal N}=1\,\,SU(N_c)$ SQCD with $1\leq N_F\leq N_c$ quark flavors with masses $m_{Q,i}$. {\bf The gauge invariant order parameter $\rho$ is introduced in \cite{ch1} distinguishing confinement (with…

High Energy Physics - Theory · Physics 2024-02-16 Victor L. Chernyak

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

We re-examine by numerical simulation the phase structure of the (3+1)-dimensional SU(2) lattice gauge theory (LGT) with gauge fields coupled to Higgs fields at finite temperature. Concretely, we explore two different order parameters which…

High Energy Physics - Lattice · Physics 2025-11-17 B. Allés , O. Borisenko , A. Papa

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

We re-examine by numerical simulation the phase structure of the three-dimensional Abelian lattice gauge theory (LGT) with $Z(2)$ gauge fields coupled to $Z(2)$-valued Higgs fields. Concretely, we explore two different order parameters…

High Energy Physics - Lattice · Physics 2025-01-30 B. Allés , O. Borisenko , A. Papa

In the lattice gauge-scalar model with a single scalar field in the fundamental representation of the gauge group SU(2), we have quite recently found that there exists a gauge-independent transition line separating the Confinement and Higgs…

High Energy Physics - Lattice · Physics 2025-04-08 Akihiro Shibata , Kei-Ichi Kondo

We study a $2{+}1$D lattice gauge theory with fundamental representation scalar fields which has both Higgs and confining regimes with a spontaneously-broken $U(1)$ $0$-form symmetry. We show that the Higgs and confining regimes may be…

High Energy Physics - Theory · Physics 2024-02-14 Aleksey Cherman , Theodore Jacobson , Srimoyee Sen , Laurence G. Yaffe

Thermodynamical properties of the nuclear matter at sub-saturation densities were investigated using a simple van der Waals-like equation of state with an additional term representing the symmetry energy. First-order isospin-asymmetric…

Nuclear Theory · Physics 2009-11-13 M. Veselsky

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
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