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We derive exact formulas for circular Wilson loops in the $\mathcal{N}=4$ and $\mathcal{N}=2^{* }$ theories with gauge groups $U(N)$ and $SU(N)$ in the $k$-fold symmetrized product representation. The formulas apply in the limit of large…

High Energy Physics - Theory · Physics 2022-09-14 D. Rodriguez-Gomez , J. G. Russo

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-15 Paul Heslop , Valentin V. Khoze

Lattice Gauge theories have been studied in the physics literature as discrete approximations to quantum Yang-Mills theory for a long time. Primary statistics of interest in these models are expectations of the so called "Wilson loop…

Probability · Mathematics 2017-08-14 Riddhipratim Basu , Shirshendu Ganguly

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear,…

High Energy Physics - Theory · Physics 2011-04-28 Luis F. Alday , Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

In arXiv:1202.4298 gauge invariant interacting equations were writ- ten down for the spin 2 and spin 3 massive modes using the exact renor- malization group of a world sheet theory. This is generalized to all the higher levels in this…

High Energy Physics - Theory · Physics 2015-06-11 B. Sathiapalan

We numerically compute the string tension in the large N limit of three dimensional Yang-Mills theory using Wilson loops. Space-time Wilson loops are formed using smeared space-like links and unsmeared time-like links. We use partial…

High Energy Physics - Lattice · Physics 2010-01-21 Joseph Kiskis , Rajamani Narayanan

The main result of this paper is a rigorous computation of Wilson loop expectations in strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit, in any dimension. The formula appears as an absolutely convergent sum over…

Probability · Mathematics 2017-12-15 Sourav Chatterjee

We use effective string theory (EST) to describe a toroidal 2d domain wall embedded in a 3d torus. In particular, we compute the free energy of the domain wall in an expansion in inverse powers of the area, up to the second non-universal…

High Energy Physics - Theory · Physics 2025-10-20 David Lima , J. M. Viana Parente Lopes , Jose Matos , Joao Penedones

In non-abelian gauge theories without matter fields, expectation values of large Wilson loops and loop correlation functions are difficult to compute through numerical simulation, because the signal-to-noise ratio is very rapidly decaying…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz

I put forward the low-energy confining asymptote of the solution $<W_{C}>$ (valid for large macroscopic contours C of the size $>>1/\Lambda_{QCD}$) to the large N Loop equation in the D=4 U(N) Yang-Mills theory with the asymptotic freedom…

High Energy Physics - Theory · Physics 2016-09-06 Andrey Yu. Dubin

We study the renormalization of non-commutative gauge theories with matter. As in the scalar field theory cases, there are logarithmic infrared divergences resulting from integrating out high momentum modes. In order to reproduce the…

High Energy Physics - Theory · Physics 2016-09-06 Arvind Rajaraman , Moshe Rozali

The complete expression of the heavy quark-antiquark potential up to order $1/m^2$ is known from QCD in terms of Wilson loop expectation values. We use that expression and a mapping, assumed to be valid at large distances, between Wilson…

High Energy Physics - Phenomenology · Physics 2015-01-07 Nora Brambilla , Michael Groher , Hector E. Martinez , Antonio Vairo

We calculate Wilson loops on boundaries of Lifshitz-like dual backgrounds with different scaling parameters, assuming existence of a field theory dual to string theory in the bulk. We consider scaling parameters to be variable quantities…

High Energy Physics - Theory · Physics 2009-09-19 Peter Koroteev , A. V. Zayakin

A modified Wilson action which suppresses plaquettes which take negative values is used to study the scaling behavior of the string tension. The use of the $\b_E$ scheme gives good agreement with asymptotic two loop results.

High Energy Physics - Lattice · Physics 2009-10-22 J. Ambjorn , G. Thorleifsson

We consider the expectation value $\langle \cal W \rangle$ of the circular BPS Wilson loop in ${\cal N}=2$ superconformal $SU(N)$ gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and…

High Energy Physics - Theory · Physics 2022-07-28 Matteo Beccaria , Gerald V. Dunne , Arkady A. Tseytlin

In the vicinity of the deconfinement transition the behaviour of the interquark potential can be precisely predicted using the Effective String Theory (EST). If the transition is continuous we can combine EST results with a conformal…

High Energy Physics - Lattice · Physics 2022-09-01 F. Caristo , M. Caselle , N. Magnoli , A. Nada , M. Panero , A. Smecca

We study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic non-covariant gauges where the Wilsonian infrared cutoff $\Lambda$ is inserted as a mass term for the propagating fields. In this way the Ward-Takahashi…

High Energy Physics - Theory · Physics 2011-08-17 Michele Simionato

The operator product expansion for ``small'' Wilson loops in {\cal N}=4, d=4 SYM is studied. The OPE coefficients are calculated in the large N and g_{YM}^2 N limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces…

High Energy Physics - Theory · Physics 2016-08-25 David Berenstein , Richard Corrado , Willy Fischler , Juan Maldacena

The 2d gauge theory on the lattice is equivalent to the twisted Eguchi-Kawai model, which we simulated at N ranging from 25 to 515. We observe a clear large N scaling for the 1- and 2-point function of Wilson loops, as well as the 2-point…

High Energy Physics - Theory · Physics 2009-11-10 F. Hofheinz

We use generalized elastic positivity bounds to constrain the parameter space of multi-field spin-2 effective field theories. These generalized bounds involve inelastic scattering amplitudes between particles with different masses, which…

High Energy Physics - Theory · Physics 2021-05-05 Zi-Yue Wang , Cen Zhang , Shuang-Yong Zhou