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The thermodynamics of $SU(2)$ Yang-Mills theory in the covariant variational approach is studied by relating the free action density in the background of a non-trivial Polyakov loop to the pressure of the gluon plasma. The correct…

High Energy Physics - Theory · Physics 2017-10-11 Markus Quandt , Hugo Reinhardt

We examine the two-dimensional U(N) Yang-Mills theory by using the technique of random partitions. We show that the large N limit of the partition function of the 2D Yang-Mills theory on S^2 reproduces the instanton counting of 4D N=2…

High Energy Physics - Theory · Physics 2008-11-26 Toshihiro Matsuo , So Matsuura , Kazutoshi Ohta

In this paper we study the large $N$ limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice 't Hooft couplings,…

High Energy Physics - Lattice · Physics 2022-07-27 Pietro Butti , Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N=4 super Yang-Mills theory. In the process, we find that S-duality of boundary…

High Energy Physics - Theory · Physics 2015-05-13 Davide Gaiotto , Edward Witten

We consider N=4 supersymmetric Yang-Mills theory formulated in terms of N=2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N=2 supersymmetric effective action depending on N=2…

High Energy Physics - Theory · Physics 2015-06-26 I. L. Buchbinder

We show that a recently proposed Yang-Mills matrix model with an auxiliary field, which is a candidate for a non-perturbative description of type IIB superstrings, captures the Euler characteristic of moduli space of Riemann surfaces. This…

High Energy Physics - Theory · Physics 2009-10-30 C. Kristjansen , P. Olesen

We derive the q-deformation of the chiral Gross-Taylor holomorphic string large N expansion of two dimensional SU(N) Yang-Mills theory. Delta functions on symmetric group algebras are replaced by the corresponding objects (canonical trace…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian de Haro , Sanjaye Ramgoolam , Alessandro Torrielli

We study the spectrum of the softly broken generalized Veneziano-Yankielowicz effective action for N=1 SUSY Yang-Mills theory. Two dual formulations of the effective action are given. The spurion method is used for the soft SUSY breaking.…

High Energy Physics - Theory · Physics 2009-10-31 G. R. Farrar , G. Gabadadze , M. Schwetz

We find a formulation of $\mathcal{N}=2$ supersymmetric Yang-Mills theory in Projective superspace. In particular we find an expression for the field strength in terms of an unconstrained prepotential which is desirable when quantizing the…

High Energy Physics - Theory · Physics 2018-05-28 Ariunzul Davgadorj , Rikard von Unge

In this note, we determine the representation content of the free, large N, SU(N) Yang Mills theory on a sphere by decomposing its thermal partition function into characters of the irreducible representations of the conformal group SO(4,2).…

High Energy Physics - Theory · Physics 2009-11-11 Alexander Barabanschikov , Lars Grant , Lisa L Huang , Suvrat Raju

We study BPS saturated domain walls in the supersymmetric SU(2) gauge theory. For a theory with a very light adjoint scalar (mass <~ Lambda/400) we use the perturbed N=2 Seiberg-Witten theory to calculate the actual field configuration of…

High Energy Physics - Theory · Physics 2008-11-26 Vadim S. Kaplunovsky , Jacob Sonnenschein , Shimon Yankielowicz

In a numerical Monte Carlo simulation of SU(2) Yang-Mills theory with light dynamical gluinos the low energy features of the dynamics as confinement and bound state mass spectrum are investigated. The motivation is supersymmetry at…

High Energy Physics - Lattice · Physics 2010-12-23 I. Campos , A. Feo , R. Kirchner , S. Luckmann , I. Montvay , G. Münster , K. Spanderen , J. Westphalen

We determine the exact vacuum structure of a marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N). The Coulomb branch of the theory consists of several sub-branches which are governed by complex curves of the form Sigma_{n_{1}}…

High Energy Physics - Theory · Physics 2009-11-10 Nick Dorey , Timothy J. Hollowood

We investigate an exactly marginal N=1 supersymmetric deformation of SU(N) N=4 supersymmetric Yang-Mills theory discovered by Leigh and Strassler. We use a matrix model to compute the exact superpotential for a further massive deformation…

High Energy Physics - Theory · Physics 2014-11-18 Nick Dorey , Timothy J. Hollowood , S. Prem Kumar

To study the behavior of the Kazakov-Migdal at large N the quenched momentum prescription with constraints for treating the large N limit of gauge theories is used. It is noted that it leads to a quartic dependence of an action on unitary…

High Energy Physics - Theory · Physics 2009-10-22 I. Ya. Aref'eva

We discuss the results of numerical simulations of colliding wavepackets in $SU(2)$ Yang--Mills theory. We investigate their behavior as a function of amplitude and momentum distribution. We find regions in our parameter space in which…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Hu , S. Matinyan , B. Muller , A. Trayanov , T. Gould , S. Hsu , E. Poppitz

Supersymmetry is one of the possible scenarios for physics beyond the standard model. The building blocks of this scenario are supersymmetric gauge theories. In our work we study the $\mathcal{N}=1$ Super-Yang-Mills (SYM) theory with gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Daniel August , Björn Wellegehausen , Andreas Wipf

We study a large N_{c} limit of a two-dimensional Yang-Mills theory coupled to bosons and fermions in the fundamental representation. Extending an approach due to Rajeev we show that the limiting theory can be described as a classical…

High Energy Physics - Theory · Physics 2015-06-26 Anatoly Konechny , O. Teoman Turgut

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

High Energy Physics - Phenomenology · Physics 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote