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We study the closed-string spectrum of SU(N) gauge theories in the fundamental representation in 2+1 dimensions. We calculate the energies of the lowest lying ~ 30 states using a large variety of operators characterised by the quantum…

High Energy Physics - Lattice · Physics 2009-04-14 Andreas Athenodorou , Barak Bringoltz , Michael Teper

Employing the nonabelian duality transformation, I derive the Gauge String form of certain D>=3 lattice Yang-Mills (YM_{D}) theories in the strong coupling (SC) phase. With the judicious choice of the actions, in D>=3 our construction…

High Energy Physics - Theory · Physics 2009-10-31 Andrey Yu. Dubin

In oder to investigate quark confinement, we give a new reformulation of the $SU(N)$ Yang-Mills theory on a lattice and present the results of the numerical simulations of the $SU(3)$ Yang-Mills theory on a lattice. The numerical…

High Energy Physics - Lattice · Physics 2014-12-30 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

I put forward the low-energy confining asymptote of the solution $<W_{C}>$ (valid for large macroscopic contours C of the size $>>1/\Lambda_{QCD}$) to the large N Loop equation in the D=4 U(N) Yang-Mills theory with the asymptotic freedom…

High Energy Physics - Theory · Physics 2016-09-06 Andrey Yu. Dubin

We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N=2, 3, 4, 5 and 6 colors in 2+1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of…

High Energy Physics - Lattice · Physics 2011-07-05 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero

We consider Penrose limits of the Klebanov-Strassler and Maldacena-Nunez holographic duals to N =1 supersymmetric Yang-Mills. By focusing in on the IR region we obtain exactly solvable string theory models. These represent the…

High Energy Physics - Theory · Physics 2009-11-07 Eric G. Gimon , Leopoldo A. Pando Zayas , Jacob Sonnenschein , Matthew J. Strassler

We perform a high precision measurement of the static $q\bar{q}$ potential in three-dimensional SU($N$) gauge theory with $N=2,3$ and compare the results to the potential obtained from the effective string theory. In particular, we show…

High Energy Physics - Lattice · Physics 2017-08-02 Bastian B. Brandt

We study the spectrum of the confining strings in four-dimensional SU(N) gauge theories. We compute, for the SU(4) and SU(6) gauge theories formulated on a lattice, the string tensions sigma_k related to sources with Z_N charge k, using…

High Energy Physics - Theory · Physics 2009-11-07 Luigi Del Debbio , Haralambos Panagopoulos , Paolo Rossi , Ettore Vicari

Long strings emerge in many Quantum Field Theories, for example as vortices in Abelian Higgs theories, or flux tubes in Yang-Mills theories. The actions of such objects can be expanded in the number of derivatives, around a long straight…

High Energy Physics - Theory · Physics 2019-02-20 Tomer Solberg , Mykhailo Yutushui

Exploiting insights on strings moving in pp-wave backgrounds, we show how open strings emerge from N = 4 SU(M) Yang-Mills theory as fluctuations around certain states carrying R-charge of order M. These states are dual to spherical…

High Energy Physics - Theory · Physics 2014-11-18 Vijay Balasubramanian , Min-xin Huang , Thomas S. Levi , Asad Naqvi

In presence of a static pair of sources, the spectrum of low-lying states of any confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. Recently two important advances…

High Energy Physics - Lattice · Physics 2014-01-08 Marco Billò , Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Marco Meineri , Roberto Pellegrini , Roberto Tateo

The strong version of Maldacena's AdS/CFT conjecture implies that the large N expansion of free N=4 super-YM theory describes an interacting string theory in the extreme limit of high spacetime curvature relative to the string length.…

High Energy Physics - Theory · Physics 2010-02-03 Parviz Haggi-Mani , Bo Sundborg

The Bethe equations, arising in description of the spectrum of the dilatation operator for the su(2) sector of the N=4 supersymmetric Yang-Mills theory, are considered in the anti-ferromagnetic regime. These equations are deformation of…

Exactly Solvable and Integrable Systems · Physics 2009-11-19 A. G. Bytsko , I. E. Shenderovich

We explore further the Hamiltonian formulation of Yang-Mills theory in 2+1 dimensions in terms of gauge-invariant matrix variables. Coupling to scalar matter fields is discussed in terms of gauge-invariant fields. We analyze how the…

High Energy Physics - Theory · Physics 2008-11-26 Abhishek Agarwal , Dimitra Karabali , V. P. Nair

In axial gauge, the (2+1)-dimensional SU($N$) Yang-Mills theory is equivalent to a set of (1+1)-dimensional integrable models with a non-local coupling between charge densities. This fact makes it possible to determine the static potential…

High Energy Physics - Theory · Physics 2008-11-26 Peter Orland

We analyze the spectrum of perturbative closed strings on AdS3 x S3 x T4 with Ramond-Ramond flux using integrable methods. By solving the crossing equations we determine the massless and mixed-mass dressing factors of the worldsheet S…

High Energy Physics - Theory · Physics 2016-10-12 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

Bosonic string formation in gauge theories is reviewed with particular attention to the confining flux in lattice QCD and its string theory description. Recent results on the Casimir energy of the ground state and the string excitation…

High Energy Physics - Lattice · Physics 2009-11-11 Julius Kuti

We study the 2+1 dimensional SU(N) Yang-Mills theory on a finite two-torus with twisted boundary conditions. Our goal is to study the interplay between the rank of the group N, the length of the torus L and the Z_N magnetic flux. After…

High Energy Physics - Lattice · Physics 2013-07-22 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa

We consider the partially-deconfined saddle of large-$N$ pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscopic…

High Energy Physics - Theory · Physics 2023-04-12 Vaibhav Gautam , Masanori Hanada , Jack Holden , Enrico Rinaldi

It is shown that the formulation of the SU(3) Yang-Mills quantum Hamiltonian in the "flux-tube gauge" $A_{a1}=0$ for all a=1,2,4,5,6,7 and $A_{a2}=0$ for all a=5,7 allows for a systematic and practical strong coupling expansion of the…

High Energy Physics - Theory · Physics 2021-12-15 Hans-Peter Pavel
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