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We investigated the phase diagram of $SU(3)$ gauge theory in four dimension with one compact dimension by using the perturbative one-loop effective potential. Effects of the adjoint and fundamental fermions are investigated and then the…

High Energy Physics - Phenomenology · Physics 2013-11-21 Kouji Kashiwa , Hiroaki Kouno , Takahiro Makiyama , Tatsuhiro Misumi , Takahiro Sasaki , Masanobu Yahiro

We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice ($16^3 \times 4$ lattice) in the presence of fermions in the adjoint representation with periodic…

High Energy Physics - Lattice · Physics 2014-06-11 Guido Cossu , Hisaki Hatanaka , Yutaka Hosotani , Jun-Ichi Noaki

We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice in the presence of fermions in the adjoint and fundamental representations with general boundary…

High Energy Physics - Lattice · Physics 2013-11-19 Guido Cossu , Etsuko Itou , Hisaki Hatanaka , Yutaka Hosotani , Jun-Ichi Noaki

It is pointed out that phase structures of gauge theories compactified on non-simply connected spaces are not trivial. As a demonstration, an SU(2) gauge model on $M^3\otimes S^1$ is studied and is shown to possess three phases: Hosotani,…

High Energy Physics - Theory · Physics 2009-11-07 Hisaki Hatanaka , Katsuhiko Ohnishi , Makoto Sakamoto , Kazunori Takenaga

We investigate four-dimensional compact U(1) lattice gauge theory with a monopole term added to the Wilson action. First we consider the phase structure at negative $\beta$, revealing some properties of a third phase region there, in…

High Energy Physics - Lattice · Physics 2016-08-25 G. Damm , W. Kerler

Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal…

High Energy Physics - Lattice · Physics 2024-07-31 Guilherme Catumba , Atsuki Hiraguchi , Wei-Shu Hou , Karl Jansen , Ying-Jer Kao , C. -J. David Lin , Alberto Ramos , Mugdha Sarkar

We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint representation of the gauge group, that has been recently proposed by Sachdev et al. to explain the physics of cuprate superconductors near…

Five-dimensional $SU(3)$ gauge-Higgs unification models are studied at finite temperature in the warped extra dimension $S^1/\mathbb{Z}_2$. In order to investigate the phase structure, we developed a technique to compute the one-loop…

High Energy Physics - Phenomenology · Physics 2014-07-02 Kouji Kashiwa , Yuya Tanizaki

We study an SU(N) gauge-Higgs model with N_F massless fundamental fermions on M^3 \otimes S^1. The model has two kinds of order parameters for gauge symmetry breaking: the component gauge field for the S^1 direction (Hosotani mechanism) and…

High Energy Physics - Theory · Physics 2016-09-06 Hisaki Hatanaka , Katsuhiko Ohnishi , Makoto Sakamoto , Kazunori Takenaga

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

High Energy Physics - Lattice · Physics 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

The addition of an adjoint Polyakov loop term to the action of a pure gauge theory at finite temperature leads to new phases of SU(N) gauge theories. For SU(3), a new phase is found which breaks Z(3) symmetry in a novel way; for SU(4), the…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

We discuss a phase diagram for a relativistic SU(2) x U_{S}(1) lattice gauge theory, with emphasis on the formation of a parity-invariant chiral condensate, in the case when the $U_{S}(1)$ field is infinitely coupled, and the SU(2) field is…

High Energy Physics - Lattice · Physics 2016-08-25 K. Farakos , N. E. Mavromatos , D. McNeill

Simulations of four-dimensional SU(2) lattice gauge theory are performed with partial axial gauge fixing trees spanning three of the four dimensions. The remaining SU(2) gauge symmetry, global in three directions and local in one, is found…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

The phase structure of the finite SU(2)xSU(2) theory with N=2 supersymmetry, broken to N=1 by mass terms for the adjoint-valued chiral multiplets, is determined exactly by compactifying the theory on a circle of finite radius. The exact…

High Energy Physics - Theory · Physics 2010-02-03 Timothy J. Hollowood , Tom Kingaby

We consider the phase structure of a pure compact U(1) gauge theory in four dimensions at finite temperature by treating this system as a perturbative deformation of the topological model. Phases of a gauge theory can be investigated from…

High Energy Physics - Theory · Physics 2007-05-23 Kentaroh Yoshida

We study the phase diagram of five-dimensional SU(2) gauge theories on anisotropic lattices with periodic boundary conditions. We locate a line of first order bulk phase transitions and second order phase transitions related to breaking of…

High Energy Physics - Lattice · Physics 2011-11-04 Francesco Knechtli , Antonio Rago

We study the three dimensional SU(2)-symmetric noncompact CP1 model, with two charged matter fields coupled minimally to a noncompact Abelian gauge-field. The phase diagram and the nature of the phase transitions in this model have…

Statistical Mechanics · Physics 2013-07-26 Egil V. Herland , Troels A. Bojesen , Egor Babaev , Asle Sudbø

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

Gauge theory defined on the orbifold $M^4 \times (S^1/Z_2)$ is investigated from the viewpoint of the Hosotani mechanism. Rearrangement of gauge symmetry takes place due to the dynamics of Wilson line phases. The physical symmetry of the…

High Energy Physics - Phenomenology · Physics 2012-01-16 Naoyuki Haba , Masatomi Harada , Yutaka Hosotani , Yoshiharu Kawamura
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