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Related papers: Two loop partition function for large N pure Yang-…

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We perform two independent calculations of the two-loop partition function for the large N 't Hooft limit of the plane-wave matrix model, conjectured to be dual to the decoupled little string theory of a single spherical type IIA NS5-brane.…

High Energy Physics - Theory · Physics 2009-11-10 Marcus Spradlin , Mark Van Raamsdonk , Anastasia Volovich

Based on the construction by Hosomichi, Seong and Terashima we consider N=1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as a deformation of the theory in flat space with…

High Energy Physics - Theory · Physics 2013-06-05 Johan Kallen , Jian Qiu , Maxim Zabzine

We show the three-loop integrability of large N plane-wave matrix theory in a subsector of states comprised of two complex light scalar fields. This is done by diagonalizing the theory's Hamiltonian in perturbation theory and taking the…

High Energy Physics - Theory · Physics 2010-04-05 Thomas Klose , Jan Plefka

We consider planar $\mathcal{N}=4$ super Yang-Mills at finite temperature with chemical potentials that couple either to the $R$-charges or the spins of the operators. We find expressions for the Hagedorn temperatures at both zero coupling…

High Energy Physics - Theory · Physics 2025-12-24 Simon Ekhammar , Joseph A. Minahan , Charles Thull

We investigate the deconfinement transition of static quarks in SU(N) Yang-Mills theories using a perturbative approach based on a massive extension of the Landau-DeWitt gauge-fixed action, where the gluon mass term is related to the issue…

High Energy Physics - Theory · Physics 2015-05-18 Julien Serreau

We apply differential renormalization method to the study of three-dimensional topologically massive Yang-Mills and Chern-Simons theories. The method is especially suitable for such theories as it avoids the need for dimensional…

High Energy Physics - Theory · Physics 2016-08-24 W. F. Chen , H. C. Lee , Z. Y. Zhu

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

We investigate the singularity structure of the $(-1)^F$ graded partition function in QCD with $n_f \geq 1$ massive adjoint fermions in the large-$N$ limit. Here, $F$ is fermion number and $N$ is the number of colors. The large $N$…

High Energy Physics - Theory · Physics 2020-01-22 Aleksey Cherman , Syo Kamata , Thomas Schaefer , Mithat Ünsal

We compute the two-loop corrections to the thermodynamical pressure of an SU(2) Yang-Mills theory being in its electric phase. Our results prove that the one-loop evolution of the effective gauge coupling constant is reliable for any…

High Energy Physics - Theory · Physics 2007-05-23 U. Herbst , R. Hofmann , J. Rohrer

We study supersymmetric Yang-Mills theories on the three-sphere, with massive matter and Fayet-Iliopoulos parameter, showing second order phase transitions for the non-Abelian theory, extending a previous result for the Abelian theory. We…

High Energy Physics - Theory · Physics 2019-10-02 Leonardo Santilli , Miguel Tierz

The thermodynamics of supersymmetric Yang-Mills theories is studied by computing the two-loop correction to the canonical free energy and to the equation of state for theories with 16, 8 and 4 supercharges in any dimension $4\leq d\leq 10$,…

High Energy Physics - Theory · Physics 2016-08-25 M. A. Vazquez-Mozo

We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the…

High Energy Physics - Phenomenology · Physics 2010-12-15 Jens Braun , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

We device an efficient book-keeping of excluded energy-sign and scattering-channel combinations for the loop four-momenta associated with massive quasi-particles, circulating in (connected) bubble diagrams subject to vertex constraints…

High Energy Physics - Theory · Physics 2017-07-21 Ingolf Bischer , Thierry Grandou , Ralf Hofmann

Large $N$ two-dimensional QCD on a cylinder and on a vertex manifold (a sphere with three holes) is investigated. The relation between the saddle-point description and the collective field theory of QCD$_2$ is established. Using this…

High Energy Physics - Theory · Physics 2009-10-28 David J. Gross , Andrei Matytsin

We show that the high temperature limit of the noncommutative thermal Yang-Mills theory can be directly obtained from the Boltzmann transport equation of classical particles. As an illustration of the simplicity of the Boltzmann method, we…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel , D. G. C. McKeon , J. C. Taylor

Following some motivating comments on large N two-dimensional Yang-Mills theory, we discuss techniques for large N group representation theory, using quantum mechanics on the group manifold U(N), its equivalence to a quasirelativistic…

High Energy Physics - Theory · Physics 2007-05-23 Michael R. Douglas

N=4 supersymmetric Yang-Mills theory exhibits a rather surprising duality of Wilson-loop vacuum expectation values and scattering amplitudes. In this paper, we investigate this correspondence at the diagram level. We find that one-loop…

High Energy Physics - Theory · Physics 2015-03-17 Charalampos Anastasiou , Andrea Banfi

We argue that there is a phase transition in the expectation value of the Polyakov loop operator in the large N limit of the high temperature deconfined phase of N=4 Yang-Mills theory on a spatial S^3. It occurs for large completely…

High Energy Physics - Theory · Physics 2014-11-18 Gianluca Grignani , Joanna L. Karczmarek , Gordon W. Semenoff

We compute the Large N limit of several objects related to the two-dimensional Euclidean Yang-Mills measure on compact connected orientable surfaces of genus larger or equal to one, with a structure group taken among the classical groups of…

Probability · Mathematics 2025-05-06 Antoine Dahlqvist , Thibaut Lemoine

We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the…

High Energy Physics - Theory · Physics 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa