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In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential…

High Energy Physics - Theory · Physics 2015-06-25 Juan Jose Manjarin

The spontaneous breaking of SU(4) heterotic standard models by Z_3 x Z_3 Wilson lines to the MSSM with three right-handed neutrino supermultiplets and gauge group SU(3)_C x SU(2)_L x U(1) x U(1) is explored. The two-dimensional subspace of…

High Energy Physics - Theory · Physics 2015-06-04 Burt Ovrut , Austin Purves , Sogee Spinner

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 (1) construct a one-parameter family of lattice models of interacting spins; (2) obtain their exact ground states; (3) derive a statistical-mechanical analogy which relates their ground states to O(n) loop gases; (4) show that the models…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Freedman , Chetan Nayak , Kirill Shtengel

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 consider conformal N=2 super Yang-Mills theories with gauge group SU(N) and Nf=2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the…

High Energy Physics - Theory · Physics 2020-05-20 M. Billo , F. Galvagno , P. Gregori , A. Lerda

We work out the map between null polygonal hexagonal Wilson loops and spinning three point functions in large $N$ conformal gauge theories by mapping the variables describing the two different physical quantities and by working out the…

High Energy Physics - Theory · Physics 2022-08-10 Carlos Bercini , Vasco Gonçalves , Alexandre Homrich , Pedro Vieira

We continue numerical studies of the spectrum of the pure U(1) lattice gauge theory in the confinement phase, initiated in our previous work. Using the extended Wilson action $ S = -\sum_P [\beta \cos(\Theta_P) + \gamma \cos(2\Theta_P)] $…

High Energy Physics - Lattice · Physics 2009-10-31 J. Cox , J. Jersak , H. Pfeiffer , T. Neuhaus , P. W. Stephenson , A. Seyfried

A loop space formulation of Yang-Mills theory high-lighting the significance of monopoles for the existence of gauge potentials is used to derive a generalization of electric-magnetic duality to the nonabelian theory. The result implies…

High Energy Physics - Theory · Physics 2009-10-31 HM Chan , ST Tsou

Dual representations are constructed for non-abelian lattice spin models with U(N) and SU(N) symmetry groups, for all N and in any dimension. These models are usually related to the effective models describing the interaction between…

High Energy Physics - Lattice · Physics 2020-07-15 O. Borisenko , V. Chelnokov , S. Voloshyn

We use the recently proposed supergravity approach to large $N$ gauge theories to calculate ordinary and spatial Wilson loops of gauge theories in various dimensions. In this framework we observe an area law for spatial Wilson loops in four…

High Energy Physics - Theory · Physics 2010-02-03 Andreas Brandhuber , Nissan Itzhaki , Jacob Sonnenschein , Shimon Yankielowicz

The weak coupling loop quantum theory with Abelian gauge group provides us a new perspective to study the weak coupling properties of LQG. In this paper, the weak coupling theory of all dimensional loop quantum gravity is established based…

General Relativity and Quantum Cosmology · Physics 2022-11-17 Gaoping Long , Chun-Yen Lin

We study the perturbative unitarity of non-commutative quantum Yang-Mills theories, extending previous investigations on scalar field theories to the gauge case where non-locality mingles with the presence of unphysical states. We…

High Energy Physics - Theory · Physics 2010-02-03 A. Bassetto , L. Griguolo , G. Nardelli , F. Vian

We study a lattice gauge theory in Wilson's Hamiltonian formalism. In view of the realization of a quantum simulator for QED in one dimension, we introduce an Abelian model with a discrete gauge symmetry $\mathbb{Z}_n$, approximating the…

We investigate two models in non-commutative (NC) field theory by means of Monte Carlo simulations. Even if we start from the Euclidean lattice formulation, such simulations are only feasible after mapping the systems onto dimensionally…

High Energy Physics - Theory · Physics 2009-11-07 W. Bietenholz , F. Hofheinz , J. Nishimura

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , A. Rajantie

Quantum link models are extensions of Wilson-type lattice gauge theories which realize exact gauge invariance with finite-dimensional Hilbert spaces. Quantum link models not only reproduce the standard features of Wilson's lattice gauge…

Strongly Correlated Electrons · Physics 2019-07-03 Yi-Ping Huang , Debasish Banerjee , Markus Heyl

In this paper we study Wilson loops in various representations for finite and large values of the color gauge group for supersymmetric ${\cal N}=4$ gauge theories. We also compute correlators of Wilson loops in different representations and…

High Energy Physics - Theory · Physics 2018-11-14 Ekaterina Sysoeva

In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling, we prove exponential decay of correlations for a wide class of gauge invariant functions, which in particular includes arbitrary…

Probability · Mathematics 2024-03-19 Arka Adhikari , Sky Cao

We present an interacting theory of a $U(1)$ gauge boson with a quadratic dispersion relation, which we call the "nonlinear Lifshitz photon theory.'' The Lifshitz photon is a three-dimensional generalization of the Tkachenko mode in…

Strongly Correlated Electrons · Physics 2024-01-23 Yi-Hsien Du , Cenke Xu , Dam Thanh Son