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Related papers: $\mathcal{N} = 4$ polygonal Wilson loops: fermions

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In this work we discuss an analytic bootstrap approach [1,2] in the context of spinning 4D conformal blocks [3,4]. As an example we study the simplest spinning case, the scalar-fermion correlator $\langle\phi\psi\phi\bar\psi\rangle$. We…

High Energy Physics - Theory · Physics 2017-12-06 Emtinan Elkhidir , Denis Karateev

We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reactions in the asymptotic region $Q^2 \gg m^2$. Four new out…

High Energy Physics - Phenomenology · Physics 2013-12-03 A. Behring , J. Blümlein , A. De Freitas , T. Pfoh , C. Raab , M. Round , J. Ablinger , A. Hasselhuhn , C. Schneider , F. Wißbrock , A. von Manteuffel

For three-dimensional ${\cal N}=4$ super Chern-Simons-matter theories associated to necklace quivers $U(N_0) \times U(N_1) \times \cdots U(N_{2r-1}) $, we study at quantum level the two kinds of 1/2 BPS Wilson loop operators recently…

High Energy Physics - Theory · Physics 2015-12-30 Luca Griguolo , Matias Leoni , Andrea Mauri , Silvia Penati , Domenico Seminara

A detailed numerical analysis is performed to obtain the Hawking spectrum for charged, massive brane scalars and fermions on the approximate background of a brane charged rotating higher-dimensional black hole constructed in…

High Energy Physics - Theory · Physics 2014-11-20 Marco O. P. Sampaio

We study the one-loop corrections to Vector Boson Scattering (in particular $W^+W^-$ elastic scattering) within the framework of effective theories. Re-scattering via intermediate electroweak would-be-Goldstone bosons dominate at high…

High Energy Physics - Phenomenology · Physics 2022-07-05 Carlos Quezada-Calonge , Antonio Dobado , Juan José Sanz-Cillero

We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Radu Roiban

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}=4$ SYM to large $N$ QCD by deriving a general relation between QCD meson scattering amplitudes and Wilson loops. We then investigate…

High Energy Physics - Theory · Physics 2013-05-29 Yuri Makeenko , Poul Olesen

We calculate connected and disconnected contributions to the flavour singlet scalar density amplitude of the nucleon in a full QCD lattice simulation with $n_f=2$ dynamical Wilson fermions at $\beta=5.6$ on a $16^3 \times 32$ lattice. We…

High Energy Physics - Lattice · Physics 2012-08-27 SESAM-Collaboration , : , S. Güsken , P. Ueberholz , J. Viehoff , N. Eicker , P. Lacock , T. Lippert , K. Schilling , A. Spitz , Th. Struckmann

We formulate lattice theories in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework the fermion mass term does not break chiral symmetry. This property allows us to use the Wilson term to remove the…

High Energy Physics - Lattice · Physics 2014-11-17 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

A few years ago some attention has been given to a fermionic action on the lattice, with a Wilson-like term which is chirally invariant but breaks the hypercubic space-time lattice symmetry. This action describes two Dirac fields in the…

High Energy Physics - Lattice · Physics 2009-10-22 Mario Pernici

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution…

High Energy Physics - Theory · Physics 2019-11-20 Wolfgang Mück

We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the…

High Energy Physics - Theory · Physics 2018-06-21 Seungjin Lee , Oliver Schlotterer

We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level…

High Energy Physics - Theory · Physics 2012-06-18 Niklas Beisert , Song He , Burkhard U. W. Schwab , Cristian Vergu

We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $\beta$-function. Using super-symmetric localization on $S_4$ , we map the path-integral associated…

High Energy Physics - Theory · Physics 2024-10-22 Marco Billo' , Luca Griguolo , Alessandro Testa

We compute the circular Wilson loop of N=4 SYM theory at large N in the rank k symmetric and antisymmetric tensor representations. Using a quadratic Hermitian matrix model we obtain expressions for all values of the 't Hooft coupling. At…

High Energy Physics - Theory · Physics 2011-04-15 Sean A. Hartnoll , S. Prem Kumar

We construct supersymmetric fermionic Wilson loops along general curves in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory and along general planar curves in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory. These…

High Energy Physics - Theory · Physics 2024-05-01 Hao Ouyang , Jun-Bao Wu

We consider light-like Wilson loops with hexagonal geometry in the planar limit of N=4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loops receive contributions from all states that can propagate on top of…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Basso , Amit Sever , Pedro Vieira

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

We derive the effective Lagrangian for mesons in lattice gauge theory with domain-wall fermions in the strong-coupling and large-N_c limits. We use the formalism of supergroups to deal with the Pauli-Villars fields, needed to regulate the…

High Energy Physics - Lattice · Physics 2009-11-07 Federico Berruto , Richard C. Brower , Benjamin Svetitsky

We investigate the effect of finite fermion density on symmetry breaking by Wilson loops in $(1+1)$ dimensions. We find the breaking and restoration of symmetry at finite density in the models with $SU(2)$ and $SU(3)$ gauge symmetries, in…

High Energy Physics - Theory · Physics 2018-01-08 Kiyoshi Shiraishi