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We analyze the phase structure of $SU(\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We discuss the properties of non-abelian gauge theories formulated on manifolds with compactified dimensions and in the presence of fermionic fields coupled to magnetic backgrounds. We show that different phases may emerge, corresponding to…

High Energy Physics - Lattice · Physics 2017-05-03 Massimo D'Elia , Marco Mariti

We construct supersymmetric models of SO(10) unification in which the gauge symmetry is broken by orbifold compactification. We find that using boundary conditions to break the gauge symmetry down to $SU(3)_C \otimes SU(2)_L \otimes U(1)_Y…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lawrence Hall , Yasunori Nomura , Takemichi Okui , David Smith

We study the breaking of a supersymmetric SO(10) GUT in 6 dimensions by orbifold compactification. In 4 dimensions we obtain a N=1 supersymmetric theory with the standard model gauge group enlarged by an additional U(1) symmetry. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Asaka , W. Buchmüller , L. Covi

We provide the dictionary between four-dimensional gauged supergravity and type II compactifications on $\mathbb{T}^6$ with metric and gauge fluxes in the absence of supersymmetry breaking sources, such as branes and orientifold planes.…

High Energy Physics - Theory · Physics 2015-06-18 Giuseppe Dibitetto , Adolfo Guarino , Diederik Roest

Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification…

High Energy Physics - Theory · Physics 2022-06-22 Gregoire Josse , Emanuel Malek , Michela Petrini , Daniel Waldram

We derive four-dimensional (4D) effective theories of the gauge-Higgs unification models in the warped spacetime. The effective action can be expressed in a simple form by neglecting subleading corrections to the wave functions. We have…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yutaka Sakamura

Gauge unification in a five dimensional supersymmetric SO(10) model compactified on an orbifold $S^1/(Z_2 \times Z_2^{\prime})$ is studied. One orbifolding reduces N=2 supersymmetry to N=1, and the other breaks SO(10) to the Pati-Salam…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hyung Do Kim , Stuart Raby

A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is made. Simulations are done on isotropic and anisotropic lattices, with and without improvement. Two tadpole renormalization schemes are employed, one using average…

High Energy Physics - Lattice · Physics 2009-10-31 Norman H. Shakespeare , Howard D. Trottier

We consider the five dimensional $USp(2k)$ gauge theory which consists of one antisymmetric and $n_{f}$ fundamental hypermultiplets. This gauge theory is a many-probe generalization of the SU(2) gauge theory in five dimensions considered by…

High Energy Physics - Theory · Physics 2009-10-31 Y. Arakane , H. Itoyama

We revisit the question of the convergence of lattice perturbation theory for a pure SU(3) lattice gauge theory in 4 dimensions. Using a series for the average plaquette up to order 10 in the weak coupling parameter beta^{-1}, we show that…

High Energy Physics - Lattice · Physics 2009-11-11 L. Li , Y. Meurice

Monte Carlo simulations are carried out on the (3+1)-dimensional Z(2) anisotropic lattice model, and a new method to simulate extremely anisotropic lattice systems with discrete symmetries is proposed. Dependence of the temporal and spatial…

High Energy Physics - Lattice · Physics 2015-06-25 L. A. Averchenkova , V. K. Petrov

Systems of charged particles on anisotropic three-dimensional lattices are investigated theoretically using Debye-Huckel theory. It is found that the thermodynamics of these systems strongly depends on the degree of anisotropy. For weakly…

Statistical Mechanics · Physics 2009-11-07 Vladimir Kobelev , Anatoly B. Kolomeisky

We suggest a simple grand unified theory where the fifth dimensional coordinate is compactified on an $S^1/(Z_2 \times Z_2')$ orbifold. This model contains additional ${\bf 10 + \overline{10}}$, (${\bf 15 + \overline{15}}$) and two ${\bf…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Haba , T. Kondo , Y. Shimizu , Tomoharu Suzuki , Kazumasa Ukai

Many theories of quantum gravity live in higher dimensions, and their reduction to four dimensions via mechanisms such as Kaluza-Klein compactification or brane world models have associated problems. We propose a novel mechanism of…

General Relativity and Quantum Cosmology · Physics 2018-07-26 Saurya Das , Mir Faizal

We investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a…

High Energy Physics - Lattice · Physics 2015-05-12 Oscar Akerlund , Philippe de Forcrand

We describe a procedure for finding Kaluza-Klein monopole solutions in deconstructed four and five dimensional supersymmetric gauge theories. In the deconstruction of a four dimensional theory, the KK monopoles are finite-action solutions…

High Energy Physics - Theory · Physics 2009-11-10 Erich Poppitz

We review the idea of chaotic quantization, based on the dynamics of classical lattice gauge systems as well as on non-abelian plasma physics in the infrared limit. The basic conjecture between Planck constant and properties of the five…

High Energy Physics - Lattice · Physics 2007-05-23 T. S. Biro , B. Mueller , S. G. Matinyan

We use a numerical method to obtain the weak coupling perturbative coefficients of local operators with lattice regularization. Such a method allows us to extend the perturbative expansions obtained so far by analytical Feynman diagrams…

High Energy Physics - Theory · Physics 2011-08-17 F. Di Renzo , G. Marchesini , E. Onofri

We study the dimensional reduction of a ten-dimensional supersymmetric E_8 gauge theory over six-dimensional coset spaces. We find that the coset space dimensional reduction over a symmetric coset space leaves the four dimensional gauge…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. Manousselis , G. Zoupanos