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We perform the dual transformation of the Yang-Mills theory in d=3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov

We analyze 2+1 dimensional Yang-Mills theory regularized on a lattice with twisted boundary conditions in the spatial directions. In previous work it was shown that the observables in the non-zero electric flux sectors obey the so-called…

High Energy Physics - Lattice · Physics 2014-11-27 Margarita García Pérez , Antonio González-Arroyo , Mateusz Koren , Masanori Okawa

We study Yang Mills theory in 2+1 dimensions, as an array of coupled (1+1)-dimensional principal chiral sigma models. This can be understood as an anisotropic limit where one of the space-time dimensions is discrete and the others are…

High Energy Physics - Theory · Physics 2014-09-10 Axel Cortés Cubero

We discuss the 2-point-particle-irreducible (2PPI) expansion, which sums bubble graphs to all orders, in the context of SU(N) Yang-Mills theory in the Landau gauge. Using the method we investigate the possible existence of a gluon…

High Energy Physics - Theory · Physics 2009-11-10 D. Dudal , H. Verschelde , R. E. Browne , J. A. Gracey

We propose the reformulations of the $SU(N)$ Yang-Mills theory toward quark confinement and mass gap. In fact, we have given a new framework for reformulating the $SU(N)$ Yang-Mills theory using new field variables. This includes the…

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

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue…

High Energy Physics - Lattice · Physics 2015-06-05 Robert Lohmayer , Herbert Neuberger

We study SU($N_c$) Yang-Mills theory in $1+1$ dimensions at finite temperature on a spatial ring that rotates uniformly in a plane. We show that the effect of rotation results only in a simple kinematic enhancement of the gauge coupling…

High Energy Physics - Theory · Physics 2025-06-16 Maxim Chernodub

The Schroedinger functional treatment of 2+1 D Yang-Mills theory is recapitulated, in great calculational detail, by following three papers of Karabali, Kim and Nair in 1998/99. The notes include the Hermitean WZW model, regularization, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hermann Schulz

In this article we will discuss numerical results on screening masses and thermodynamic quantities in 2 + 1 dimensional SU(3) gauge theory. We will also compare them to perturbation theory and the dimensionally reduced model.

High Energy Physics - Lattice · Physics 2008-11-26 P. Bialas , L. Daniel , A. Morel , B. Petersson

By considering N=2 string amplitudes we determine the (2+2)-dimensional target space action for the physical degrees of freedom: self-dual gravity and self-dual Yang-Mills, together with their respective infinite towers of higher-spin…

High Energy Physics - Theory · Physics 2009-10-31 Chandrashekar Devchand , Olaf Lechtenfeld

The two-dimensional supersymmetric Yang-Mills (SYM) theory with sixteen supercharges at large $N$ and strong 't~Hooft coupling is conjectured to be dual to certain supergravity solutions in the decoupling limit. We discretize the gauge…

High Energy Physics - Lattice · Physics 2019-06-11 Raghav Govind Jha

We propose an approximation to the ground state of Yang-Mills theory, quantized in temporal gauge and 2+1 dimensions, which satisfies the Yang-Mills Schrodinger equation in both the free-field limit, and in a strong-field zero mode limit.…

High Energy Physics - Lattice · Physics 2008-11-26 J. Greensite , S. Olejnik

Various recently developed connections between supersymmetric Yang-Mills theories in four dimensions and two dimensional integrable systems serve as crucial ingredients in improving our understanding of the AdS/CFT correspondence. In this…

High Energy Physics - Theory · Physics 2008-11-26 Abhishek Agarwal

Calculation by Douglas and Shenker of the tension ratios for vortices of different N-alities in the softly broken N=2 supersymmetric SU(N) Yang-Mills theory, is carried to the second order in the adjoint multiplet mass m. Corrections to the…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Auzzi , Kenichi Konishi

We use holography and a string probe approach to compute the drag force on a quark moving in a thermal plasma of non-commutative Yang-Mills (NCYM) theories in various dimensions. The gravity background in these cases are described by a…

High Energy Physics - Theory · Physics 2009-11-18 Shibaji Roy

The (1+1)-dimensional SU}(N) Yang-Mills Lagrangian, with bare mass M, and gauge coupling e, naively describes gluons of mass M. In fact, renormalization forces M to infinity. The system is in a confined phase, instead of a Higgs phase. The…

High Energy Physics - Theory · Physics 2015-06-18 Axel Cortes Cubero , Peter Orland

We perform euclidean strong coupling expansions for Yang Mills theory on the lattice at finite temperature. After setting up the formalism for general SU(N), we compute the first few terms of the series for the free energy density and the…

High Energy Physics - Lattice · Physics 2014-11-18 Jens Langelage , Gernot Münster , Owe Philipsen

We discuss the extension of gauge-invariant electric and magnetic screening masses in the Quark-Gluon Plasma to the case of a finite baryon density, defining them in terms of a matrix of Polyakov loop correlators. We present lattice results…

High Energy Physics - Lattice · Physics 2018-04-04 Michele Andreoli , Claudio Bonati , Massimo D'Elia , Michele Mesiti , Francesco Negro , Andrea Rucci , Francesco Sanfilippo

Geometric quantization of topologically massive and pure Yang- Mills theories is studied in 2+1 dimensions. Analogous to the topologically massive AdS gravity model, both topologically massive Yang-Mills and pure Yang-Mills theories are…

Mathematical Physics · Physics 2016-03-17 Tuna Yildirim

Geometric quantization of 2+1 dimensional pure Yang-Mills theory is studied with focusing on finite large scales. It is previously shown that (Yildirim, 2015, Int. J. Mod. Phys A, 30(7), 1550034), topologically massive Yang-Mills theory…

High Energy Physics - Theory · Physics 2018-02-13 Tuna Yildirim