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In the standard model of electroweak interactions the Higgs doublet is replaced by a complex vector doublet and a real vector singlet. The gauge symmetry is broken dynamically by a mixed condensate of the doublet and singlet vector fields.…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. Cynolter , E. Lendvai , G. Pocsik

SU(2) gluodynamics is investigated numerically and analytically in the (Indirect) Maximal Center gauge at finite temperature. The center vortices are shown to be condensed in the confinement phase and dilute in the deconfinement phase. A…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov , M. A. Zubkov

Gauge symmetry breaking through the Hosotani mechanism (the dynamics of nonintegrable phases) in softly broken supersymmetric QCD with $N_F^{fd}$ flavors is studied. For $N=$ even, there is a single SU(N) symmetric vacuum state, while for…

High Energy Physics - Theory · Physics 2009-11-07 Kazunori Takenaga

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

We examine the formation of vortices during the nonequilibrium relaxation of a high-temperature initial state of an Abelian-Higgs system. We equilibrate the scalar and gauge fields using gauge-invariant Langevin equations and relax the…

Superconductivity · Physics 2011-07-19 G. J. Stephens , Luis M. A. Bettencourt , W. H. Zurek

We present a non-perturbative model of Gauge-Higgs Unification. We consider a five-dimensional pure SU(2) gauge theory with orbifold boundary conditions along the fifth dimension, such that the symmetry is reduced to U(1) at the fixed…

High Energy Physics - Lattice · Physics 2015-06-12 Nikos Irges , Francesco Knechtli , Kyoko Yoneyama

We study a holographic model with vector condensate by coupling the anti-de Sitter gravity to an Abelian gauge field and a charged vector field in $(3+1)$ dimensional spacetime. In this model there exists a non-minimal coupling of the…

High Energy Physics - Theory · Physics 2014-01-27 Rong-Gen Cai , Song He , Li Li , Li-Fang Li

Both in electroweak theory and QCD, the vacuum in strong magnetic fields develops charged vector condensates once a critical value of the magnetic field is reached. Both ground states have a similar Abrikosov lattice structure and…

High Energy Physics - Phenomenology · Physics 2012-12-04 M. N. Chernodub , J. Van Doorsselaere , H. Verschelde

The gauge symmetry of the Ginzburg-Landau theory for two-gap superconductors is analyzed in this letter. We argue that the existence of two different phases, associated with the two independent scalar Higgs fields, explicitly breaks the…

Superconductivity · Physics 2014-08-11 Miguel C. N. Fiolhais , Joseph L. Birman

We continue to study the holographic p-wave superconductor model in the Einstein-Maxwell-complex vector field theory with a non-minimal coupling between the complex vector field and the Maxwell field. In this paper we work in the AdS…

High Energy Physics - Theory · Physics 2014-01-27 Rong-Gen Cai , Li Li , Li-Fang Li , You Wu

We use the Higgs mechanism to investigate connections between higher-rank symmetric $U(1)$ gauge theories and gapped fracton phases. We define two classes of rank-2 symmetric $U(1)$ gauge theories: the $(m,n)$ scalar and vector charge…

Strongly Correlated Electrons · Physics 2018-06-12 Daniel Bulmash , Maissam Barkeshli

In this paper, we discuss the vacuum structure of the gauge-Higgs unification theory, which is one of the attractive candidates of physics beyond the standard model. This scenario has a remarkable feature, namely it has infinitely…

High Energy Physics - Theory · Physics 2022-08-09 Yuki Adachi , C. S. Lim , Nobuhito Maru

We study the properties of the phase transition in three dimensional U(1)+Higgs theory or Ginzburg-Landau model of superconductivity. Special attention is paid to large values of scalar self coupling (Type II superconductors), where the…

High Energy Physics - Lattice · Physics 2007-05-23 J. Peisa

The phenomena of superconductivity and charge density waves are observed in close vicinity in many strongly correlated materials. Increasing evidence from experiments and numerical simulations suggests both phenomena can also occur in an…

Strongly Correlated Electrons · Physics 2025-09-22 Niccolò Baldelli , Hannes Karlsson , Benedikt Kloss , Matthew Fishman , Alexander Wietek

An effective Lagrangian approach to describe the dynamics of confinement and symmetry breaking in the process of quark-gluon to hadron conversion is proposed. The deconfined quark and gluon degrees of freedom of the perturbative QCD vacuum…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Geiger

Motivated by the recently established duality between elasticity of crystals and a fracton tensor gauge theory, we combine it with boson-vortex duality, to explicitly account for bosonic statistics of the underlying atoms. We thereby derive…

Strongly Correlated Electrons · Physics 2019-01-11 Michael Pretko , Leo Radzihovsky

We introduce a U(1) lattice gauge theory with dual gauge fields and study its phase structure. This system is motivated by unconventional superconductors like extended s-wave and d-wave superconductors in the strongly-correlated electron…

Strongly Correlated Electrons · Physics 2007-05-23 Tomoyoshi Ono , Yuki Moribe , Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

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

The condensation of monopoles (dual superconductivity) of QCD vacuum is reviewed. Direct evidence is produced that the system, in the confined phase, is a dual superconductor.

High Energy Physics - Lattice · Physics 2016-11-03 Adriano di Giacomo

The low energy Gell-Mann-Oakes-Renner relation, Higgs particle mass value, and the new observational cosmological data are considered as evidence of the condensate mechanism of conformal symmetry breaking at the quantum level. The…

High Energy Physics - Phenomenology · Physics 2012-11-20 V. Pervushin , A. Arbuzov , B. Barbashov , A. Cherny , A. Dorokhov , A. Borowiec , R. Nazmitdinov , A. Pavlov , V. Shilin , A. Zakharov