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We use holography to study (3+1)-dimensional N=4 supersymmetric SU(Nc) Yang-Mills theory (SYM) in the large-Nc and large coupling limits, with a (2+1)-dimensional interface where the Yang-Mills coupling or theta-angle changes value, or…

高能物理 - 理论 · 物理学 2013-06-04 John Estes , Andy O'Bannon , Efstratios Tsatis , Timm Wrase

We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, whose spatial contours lie on a two-sphere. Working to second order in the 't Hooft coupling in planar N=4 Supersymmetric…

高能物理 - 理论 · 物理学 2015-03-13 Donovan Young

We summarise the status of an intriguing new duality between planar maximally helicity violating scattering amplitudes and light-like Wilson loops in N=4 super Yang-Mills. In particular, we focus on the role played by (dual) conformal…

高能物理 - 理论 · 物理学 2022-10-05 Johannes Henn

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality…

高能物理 - 理论 · 物理学 2018-01-01 Mohamed M. Anber , Vito Pellizzani

In this note we compute the expectation value of a circular BPS Wilson loop in the higher rank totally symmetric and antisymmetric representations of SU(N) in the $\hat{A}_1$ quiver $\mathcal{N} = 2$ SCFT, using a matrix model. We discuss…

高能物理 - 理论 · 物理学 2016-01-20 Benjo Fraser

Closed form expressions for a multivector exponential and logarithm are presented in real Clifford geometric algebras Cl(p,q)when n=p+q=1 (complex and hyperbolic numbers) and n=2 (Hamilton, split and conectorine quaternions). Starting from…

数学物理 · 物理学 2022-04-12 Adolfas Dargys , Arturas Acus

I describe some recent developments in the understanding of gluon scattering amplitudes in N=4 super-Yang-Mills theory in the large-N_c limit. These amplitudes can be computed to high orders in the weak coupling expansion, and also now at…

高能物理 - 理论 · 物理学 2009-08-07 Lance J. Dixon

We present a full two-loop O(g^6) perturbative field theoretic calculation of the expectation value of two circular Maldacena-Wilson loops in D=4 N=4 supersymmetric U(N) gauge theory. It is demonstrated that, after taking into account very…

高能物理 - 理论 · 物理学 2010-02-03 Jan Plefka , Matthias Staudacher

We calculate Wilson loops of various sizes up to 20 loops in SU(3) pure lattice gauge theory at different lattice sizes for Wilson gauge action using the technique of numerical stochastic perturbation theory. This allows us to investigate…

高能物理 - 格点 · 物理学 2013-05-30 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , R. Millo , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We compute the static potential associated to the locally 1/2 BPS Wilson loop in ${\cal N}$=4 supersymmetric Yang-Mills theory with ${\cal O}(\lambda^2/r)$ accuracy. We also resum the leading logarithms, of ${\cal…

高能物理 - 理论 · 物理学 2008-11-26 Antonio Pineda

We study the correlators of a recently discovered family of BPS Wilson loops in ${\cal N}=4$ supersymmetric U(N) Yang-Mills theory. When the contours lie on a two-sphere in the space-time, we propose a closed expression that is valid for…

高能物理 - 理论 · 物理学 2009-08-24 A. Bassetto , L. Griguolo , F. Pucci , D. Seminara , S. Thambyahpillai , D. Young

Reduced models are matrix integrals believed to be related to the large N limit of gauge theories. These integrals are known to simplify further when the number of matrices D (corresponding to the number of space-time dimensions in the…

高能物理 - 理论 · 物理学 2015-05-27 Oleg Evnin

The half-supersymmetric Wilson loop in $\mathcal N=4$ SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of…

高能物理 - 理论 · 物理学 2016-02-02 Alberto Faraggi , James T. Liu , Leopoldo A. Pando Zayas , Guojun Zhang

We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar N=4 supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards,…

We provide a recursive diagrammatic prescription for the exponentiation of gauge theory amplitudes involving products of Wilson lines and loops. This construction generalizes the concept of webs, originally developed for eikonal form…

高能物理 - 唯象学 · 物理学 2010-12-21 Alexander Mitov , George Sterman , Ilmo Sung

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely…

概率论 · 数学 2016-10-13 Jafar Jafarov

In this paper we compute the vacuum expectation value of the Wilson loop and its correlators with chiral primary operators in $\mathcal{N}=2, 4$ superconformal $U(N)$ gauge theories at large $N$. After localization these quantities can be…

高能物理 - 理论 · 物理学 2018-04-10 Ekaterina Sysoeva

We present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known…

高能物理 - 理论 · 物理学 2015-06-17 Alexey A. Vladimirov

We identify a universal finite-$N$ structure underlying Wilson loop expectations in lattice Yang-Mills, in any dimension $d\geq 2$, for gauge group $\mathrm{U}(N)$, and for arbitrary smooth central plaquette actions. The starting point is a…

数学物理 · 物理学 2026-04-20 Thibaut Lemoine

Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken…

高能物理 - 理论 · 物理学 2018-05-23 Robin Brüser , Simon Caron-Huot , Johannes M. Henn