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We present a compact formula, expressed in terms of classical polylogarithms up to weight three, for the leading order four-point energy correlator in maximally supersymmetric Yang-Mills theory, in the limit where the four detectors are…

High Energy Physics - Theory · Physics 2024-01-15 Dmitry Chicherin , Ian Moult , Emery Sokatchev , Kai Yan , Yunyue Zhu

We investigate the high energy behavior of the correlation functions of the open Wilson lines in noncommutative gauge theory. We obtain a very simple physical picture that they are bound to form a group of closed Wilson loops. We prove our…

High Energy Physics - Theory · Physics 2010-02-03 A. Dhar , Y. Kitazawa

Form factors in planar $\mathcal{N}=4$ super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the former to an operator product expansion of the latter. The…

High Energy Physics - Theory · Physics 2022-03-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

In this talk, we discuss a number of recent calculations aimed at determining the spectral functions corresponding to various components of the energy momentum tensor in high-temperature SU(N) Yang-Mills theory. The computations reviewed…

High Energy Physics - Phenomenology · Physics 2013-01-16 Aleksi Vuorinen , Martin Krssak , Yan Zhu

We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find…

High Energy Physics - Theory · Physics 2020-12-02 Tristan McLoughlin , Raul Pereira , Anne Spiering

We bootstrap the three-point form factor of the chiral part of the stress-tensor supermultiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory, obtaining new results at three, four, and five loops. Our construction employs known…

High Energy Physics - Theory · Physics 2022-08-24 Lance J. Dixon , Andrew J. McLeod , Matthias Wilhelm

We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in ${\cal N}=4$ super Yang-Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2-BPS Wilson…

High Energy Physics - Theory · Physics 2019-05-20 Simone Giombi , Radu Roiban , Arkady A. Tseytlin

A rectangular Wilson loop centered at the origin, with sides parallel to space and time directions and length $2L$ and $2T$ respectively, is perturbatively evaluated ${\cal O}(g^4)$ in Feynman gauge for Yang--Mills theory in $1+(D-1)$…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto , R. Begliuomini , G. Nardelli

We introduce and study a new class of power-counting non-renormalisable gauge theories in four space-time dimensions. The Lagrangian is an arbitrary function of the self-dual part of the field strength. The resulting perturbation theory has…

High Energy Physics - Theory · Physics 2015-09-23 Marco Cofano , Chih-Hao Fu , Kirill Krasnov

We show that a certain class of light-like Wilson loops exhibits a Yangian symmetry at one loop, or equivalently, in an Abelian theory. The Wilson loops we discuss are equivalent to one-loop MHV amplitudes in N=4 super Yang-Mills theory in…

High Energy Physics - Theory · Physics 2015-05-20 J. M. Drummond , L. Ferro , E. Ragoucy

The leading singularities of one-loop scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory are known to factorise into products of tree-level amplitudes, and this can be seen from a number of different perspectives e.g.…

High Energy Physics - Theory · Physics 2026-02-23 James Drummond , Matthew Rochford , Rowan Wright

We apply the coupled dynamics of time-dependent density functional theory and Maxwell equations to the interaction of intense laser pulses with crystalline silicon. As a function of electromagnetic field intensity, we see several regions in…

Other Condensed Matter · Physics 2015-06-03 K. Yabana , T. Sugiyama , Y. Shinohara , T. Otobe , G. F. Bertsch

A generalization of Wilson line operators at subleading power in the soft expansion has been recently introduced as an efficient building block of gravitational scattering amplitudes for non-spinning objects. The classical limit in this…

High Energy Physics - Theory · Physics 2024-12-23 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

We explore the space of non-gravitational, maximally supersymmetric, planar 4d effective field theories (EFTs) that have $\mathcal{N}=4$ super Yang-Mills (SYM) at leading order. We show that in the weakly-coupled regime, highly non-trivial…

High Energy Physics - Theory · Physics 2026-05-15 Henriette Elvang , Aidan Herderschee , Roger Morales

The S-matrix for planar N = 4 super Yang-Mills theory can be computed as the correlation function for a holomorphic polygonal Wilson loop in twistor space. In an axial gauge, this leads to the construction of the all-loop integrand via MHV…

High Energy Physics - Theory · Physics 2015-06-12 Arthur E. Lipstein , Lionel Mason

We introduce \emph{normalized exponential Yang-Mills energy functional} $\mathcal{YM}_e^0$, stress-energy tensor $S_{e,\mathcal{YM}^0 }$ associated with the normalized \emph{exponential Yang-Mills energy functional} $\mathcal{YM}_e ^0 $,…

Differential Geometry · Mathematics 2022-05-09 Shihshu Walter Wei

We demonstrate that the large-N expansion of Wilson loop expectation values in SO(N) and Sp(N) Yang-Mills theory on orientable and nonorientable surfaces has a natural description as a weighted sum over covers of the given surface. The sum…

High Energy Physics - Theory · Physics 2009-10-28 Stephen G. Naculich , Harold A. Riggs , Howard J. Schnitzer

Expectation values of Wilson loops define the nonperturbative properties of the hot medium produced in heavy ion collisions that arise in the analysis of both radiative parton energy loss and quarkonium suppression. We use the AdS/CFT…

High Energy Physics - Phenomenology · Physics 2010-10-27 Hong Liu , Krishna Rajagopal , Urs Achim Wiedemann

We study the supersymmetric circular Wilson loops of N=4 super Yang-Mills in large representations of the gauge group. In particular, we obtain the spectral curves of the matrix model which captures the expectation value of the loops. These…

High Energy Physics - Theory · Physics 2011-04-20 Takuya Okuda , Diego Trancanelli

In Abelian gauge theories with dynamical matter, Wilson lines can end on the insertions of charged fields. We study the endpoints of Wilson lines in large $N$ bosonic QED$_3$. at its critical point. We first study the stability of an…

High Energy Physics - Theory · Physics 2025-12-25 Nabil Iqbal , Navonil Neogi