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The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal…

高能物理 - 理论 · 物理学 2009-10-30 M. Crescimanno , S. G. Naculich , H. J. Schnitzer

We derive general relationships between the number of complex poles of a propagator and the sign of the spectral function originating from the branch cut in the Minkowski region under some assumptions on the asymptotic behaviors of the…

高能物理 - 理论 · 物理学 2019-05-14 Yui Hayashi , Kei-Ichi Kondo

We investigate the consequences of elliptic leading singularities for the unitarity-based representations of two-loop amplitudes in planar, maximally supersymmetric Yang-Mills theory. We show that diagonalizing with respect to these leading…

高能物理 - 理论 · 物理学 2021-12-22 Jacob L. Bourjaily , Nikhil Kalyanapuram , Cameron Langer , Kokkimidis Patatoukos

In the context of integrated correlators in $\mathcal{N}=4$ SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass-deformed $\mathcal{N}=2^*$ theory in presence of a…

高能物理 - 理论 · 物理学 2023-11-30 M. Billo' , M. Frau , F. Galvagno , A. Lerda

We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N=4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact,…

高能物理 - 理论 · 物理学 2018-08-29 Anthonny F. Canazas Garay , Alberto Faraggi , Wolfgang Mück

We study $\mathcal{N} = 4$ super Yang-Mills theory on the Coulomb branch (cSYM) in the strong coupling limit by using the AdS/CFT correspondence. The dual geometry is the rotating black 3-brane Type IIB supergravity solution with a single…

高能物理 - 理论 · 物理学 2019-09-18 Kiminad A. Mamo

The paper is devoted to the effects of superconducting pairing in small metallic grains. It turns out that at strong superconducting coupling and in the limit of large Thouless conductance one can explicitly determine the low energy…

强关联电子 · 物理学 2009-02-06 Emil A. Yuzbashyan , Alexander A. Baytin , Boris L. Altshuler

A topological sigma model based on the pure spinor formalism was recently proposed for the small radius limit of the AdS_5xS^5 superstring. Physical states in this model can be constructed by connecting holes on the worldsheet with Wilson…

高能物理 - 理论 · 物理学 2009-11-19 Nathan Berkovits

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation…

高能物理 - 理论 · 物理学 2020-05-11 Francesco Galvagno

We elaborate the description of the semi-classical gravity sector of Yang-Mills matrix models on a covariant quantum FLRW background. The basic geometric structure is a frame, which arises from the Poisson structure on an underlying $S^2$…

高能物理 - 理论 · 物理学 2023-03-14 Stefan Fredenhagen , Harold C. Steinacker

We study Euclidean Wilson loops at strong coupling using the AdS/CFT correspondence, where the problem is mapped to finding the area of minimal surfaces in Hyperbolic space. We use a formalism introduced recently by Kruczenski to…

高能物理 - 理论 · 物理学 2015-01-20 Amit Dekel

This paper studies magnetic line defects in the Wilson-Fisher $O(N)$ model. A powerful method to probe the system is to consider mixed two-point functions of the order parameter and the energy operator in the presence of the defect. A…

高能物理 - 理论 · 物理学 2022-12-07 Aleix Gimenez-Grau

It has been known for many years that, in Yang-Mills theories with $\mathcal{N}=4,2,2^*$ supersymmetry, certain nontrivial supersymmetric Wilson loops exist with v.e.v. either trivial or computable by localization that arises from a…

高能物理 - 理论 · 物理学 2025-10-17 Marco Bochicchio , Giacomo Santoni

In this paper we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for massive nonlinearly realized SU(2) Yang-Mills theory. We check the fulfillment of physical unitarity. The resulting…

高能物理 - 理论 · 物理学 2012-05-24 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

高能物理 - 理论 · 物理学 2018-11-14 Kazumi Okuyama

The Dyson equation proposed for planar temporal Wilson loops in the context of supersymmetric gauge theories is critically analysed thereby exhibiting its ingredients and approximations involved. We reveal its limitations and identify its…

高能物理 - 理论 · 物理学 2010-03-12 M. Pak , H. Reinhardt

The results of our research on noncommutative perturbative quantum field theory and its relation to string theory are exposed with details. 1) We give an introduction to noncommutative quantum field theory and its derivation from open…

高能物理 - 理论 · 物理学 2007-05-23 Alessandro Torrielli

Yang-Mills theories in 2+1 (or 3) dimensions are interesting as nontrivial gauge theories in their own right and as effective theories of QCD at high temperatures. I shall review the basics of our Hamiltonian approach to this theory,…

高能物理 - 理论 · 物理学 2011-07-14 V. P. Nair

In this work, we compute the two-loop result of the null hexagonal Wilson loop with a Lagrangian insertion in planar, maximally supersymmetric Yang-Mills theory via a bootstrap approach. Normalized by the null polygonal Wilson loop itself,…

高能物理 - 理论 · 物理学 2025-05-05 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

Prompted by recent progress in the study of N=4 super Yang-Mills amplitudes, and evidence that similar approaches might be relevant to N=8 supergravity, we investigate possible iterative structures and applications of Wilson loop techniques…

高能物理 - 理论 · 物理学 2008-11-26 Andreas Brandhuber , Paul Heslop , Adele Nasti , Bill Spence , Gabriele Travaglini
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