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Related papers: Effects of Fermion Masses and Twisting on Non-Inte…

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We investigate the effect of finite fermion density on symmetry breaking by Wilson loops in $(1+1)$ dimensions. We find the breaking and restoration of symmetry at finite density in the models with $SU(2)$ and $SU(3)$ gauge symmetries, in…

High Energy Physics - Theory · Physics 2018-01-08 Kiyoshi Shiraishi

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation. The pseudoscalar meson mass as a function of hopping…

High Energy Physics - Lattice · Physics 2010-04-30 Kei-ichi Nagai , Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

In this paper we derive the general expression of a one-loop effective potential of the nonintegrable phases of Wilson lines for an SU(N) gauge theory with a massless adjoint fermion defined on the spactime manifold $R^{1,d-3}\times T^2$ at…

High Energy Physics - Theory · Physics 2008-11-26 Chung-Chieh Lee , Choon-Lin Ho

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation, including the relevance to recent searches for a conformal…

High Energy Physics - Lattice · Physics 2010-11-04 Kei-ichi Nagai , Maria Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

Dynamical gauge symmetry breaking on the orbifold $T^2/Z_2$ is shown to occur through quantum dynamics of Wilson line phases. Different sets of boundary conditions on $T^2/Z_2$ can be related to each other by Wilson line phases, forming…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yutaka Hosotani , Shusaku Noda , Kazunori Takenaga

It is pointed out that the existence of bare mass terms for matter fields changes gauge symmetry patterns through the Hosotani mechanism. As a demonstration, we study an SU(2) gauge model with massive adjoint fermions defined on $M^4\otimes…

High Energy Physics - Theory · Physics 2009-11-10 Kazunori Takenaga

The phase structure of QCD-like gauge theories with fermions in various representations is an interesting but generally analytically intractable problem. One way to ensure weak coupling is to define the theory in a small finite volume, in…

High Energy Physics - Theory · Physics 2009-11-13 Timothy J. Hollowood , Joyce C. Myers

Four fermion interactions appear in many models of Beyond Standard Model physics. In Technicolour and composite Higgs models Standard Model fermion masses can be generated by four fermion terms. They are also expected to modify the dynamics…

High Energy Physics - Lattice · Physics 2016-11-03 Jarno Rantaharju , Vincent Drach , Claudio Pica , Francesco Sannino

The phase diagrams at high temperature of SU(N) gauge theories with massive fermions are calculated by numerically minimizing the one-loop effective potential. We consider fermions in the Fundamental (F), Adjoint (Adj), Antisymmetric (AS),…

High Energy Physics - Lattice · Physics 2010-01-21 Joyce C. Myers , Michael C. Ogilvie

We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice…

High Energy Physics - Lattice · Physics 2020-01-29 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We study $1+1$-dimensional $\text{SU}(N)$ gauge theory coupled to one adjoint multiplet of Majorana fermions on a small spatial circle of circumference $L$. Using periodic boundary conditions, we derive the effective action for the quantum…

High Energy Physics - Theory · Physics 2024-06-26 Ross Dempsey , Igor R. Klebanov , Silviu S. Pufu , Benjamin T. Søgaard

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk…

High Energy Physics - Theory · Physics 2023-11-22 Mohamed M. Anber , Nakarin Lohitsiri , Tin Sulejmanpasic

We minimize the one-loop effective potential for SU(N) gauge theories including fermions with finite mass in the fundamental (F), adjoint (Adj), symmetric (S), and antisymmetric (AS) representations. We calculate the phase diagram on S^1 x…

High Energy Physics - Theory · Physics 2009-08-05 Joyce C. Myers , Michael C. Ogilvie

In this work we present the results of a numerical investigation of SU(2) gauge theory with N_f = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two…

High Energy Physics - Lattice · Physics 2018-03-14 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

The lattice phase structure of a gauge theory can be a serious obstruction to Monte Carlo studies of its continuum behaviour. This issue is particularly delicate when numerical studies are performed to determine whether a theory is in a…

High Energy Physics - Lattice · Physics 2014-08-14 Biagio Lucini , Agostino Patella , Antonio Rago , Enrico Rinaldi

We analyze the large-N behavior of SU(N) lattice gauge theories with adjoint fermions by studying volume-reduced models, as pioneered by Eguchi and Kawai. We perform simulations on a single-site lattice for Nf = 1 and Nf = 2 Wilson Dirac…

High Energy Physics - Lattice · Physics 2012-12-04 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

We study the strong coupling behaviour of null polygonal Wilson loops/gluon amplitudes in $\mathcal{N} = 4$ SYM, by using the OPE series and its integrability features. For the hexagon we disentangle the $SU(4)$ matrix structure of the form…

High Energy Physics - Theory · Physics 2019-06-26 Alfredo Bonini , Davide Fioravanti , Simone Piscaglia , Marco Rossi

We study the single site SU(N) lattice gauge theory with N_f=2 adjoint Wilson fermions for values of N up to 53. We determine the phase diagram of the theory as a function of the hopping parameter kappa and the inverse 't Hooft coupling b,…

High Energy Physics - Lattice · Physics 2011-11-07 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

Magnetic bions---stable bound states of monopoles and twisted ("Kaluza-Klein") monopoles, carrying two units of magnetic charge---have been shown to be the leading cause of confinement and mass gap in four-dimensional gauge theories with…

High Energy Physics - Theory · Physics 2015-05-28 Mohamed M. Anber , Erich Poppitz

The Hamiltonian formulation of the Holst action in presence of a massless fermion field with a non-minimal Lagrangian is performed without any restriction on the local Lorentz frame. It is outlined that the phase space structure does not…

General Relativity and Quantum Cosmology · Physics 2010-04-06 F. Cianfrani , G. Montani
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