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The existing theory of the microscopic interpretation of the dynamical contribution to zero-field muon depolarization spectra in a longitudinal geometry is developed. The predicted relaxation of the muon depolarization is calculated from…

Materials Science · Physics 2009-11-11 C. A. Steer

We study light-like polygonal Wilson loops in three-dimensional Chern-Simons and ABJM theory to two-loop order. For both theories we demonstrate that the one-loop contribution to these correlators cancels. For pure Chern-Simons, we find…

High Energy Physics - Theory · Physics 2015-03-13 Johannes M. Henn , Jan Plefka , Konstantin Wiegandt

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike…

High Energy Physics - Theory · Physics 2018-05-08 Harald Dorn

We calculate the polarized massive two--loop pure singlet Wilson coefficient contributing to the structure functions $g_1(x,Q^2)$ analytically in the whole kinematic region. The Wilson coefficient contains Kummer--elliptic integrals. We…

High Energy Physics - Phenomenology · Physics 2019-10-23 J. Blümlein , C. G. Raab , K. Schönwald

For ${\cal N}=2^*$ theory with $U(N)$ gauge group we evaluate expectation values of Wilson loops in representations described by a rectangular Young tableau with $n$ rows and $k$ columns. The evaluation reduces to a two-matrix model and we…

High Energy Physics - Theory · Physics 2018-02-14 James T. Liu , Leopoldo A. Pando Zayas , Shan Zhou

We calculate and investigate the relativistic correlation function for bipartite systems of spin-1/2 in vector and spin-1 particles in tensor states. We show that the relativistic correlation function, which depends on particles momenta,…

Quantum Physics · Physics 2015-05-20 Paweł Caban , Jakub Rembieliński , Marta Włodarczyk

We derive new formulas for the expectation and variance of Wilson loops for any contractible simple loop on a compact orientable surface of genus $1$ and higher, in the model of two-dimensional Yang--Mills theory with structure group…

Mathematical Physics · Physics 2025-05-27 Thibaut Lemoine

We present an efficient technique for calculating the angular two-point correlation functions (or ``overlap reduction functions'') induced by gravitational waves in both the pulse arrival times of pulsars and in the angular deflections of…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-27 Keisuke Inomata , Marc Kamionkowski , Celia M. Toral , Stephen R. Taylor

Chern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N. In this paper, we compute the scaling dimensions of…

High Energy Physics - Theory · Physics 2017-09-21 S. Giombi , V. Gurucharan , V. Kirilin , S. Prakash , E. Skvortsov

The form factor bootstrap approach is used to compute the exact contributions in the large distance expansion of the correlation function $<\sigma(x) \sigma(0)>$ of the two-dimensional Ising model in a magnetic field at $T=T_c$. The matrix…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo

We evaluate the Green's function for the insertion of the second moment of the twist-$2$ flavour nonsinglet Wilson operator in a quark $2$-point function in all three different single scale external momentum configurations at four loops in…

High Energy Physics - Phenomenology · Physics 2025-01-10 J. A. Gracey

In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic…

High Energy Physics - Theory · Physics 2021-07-28 Sachin Jain , Renjan Rajan John , Vinay Malvimat

We study correlation functions of Wilson loops and local operators in a subsector of N=4 SYM which preserves two supercharges. Localization arguments allow to map the problem to a calculation in bosonic two-dimensional Yang-Mills theory. In…

High Energy Physics - Theory · Physics 2015-06-05 Simone Giombi , Vasily Pestun

A semiclassical string description is given for correlators of Wilson loops with local operators in N=4 SYM theory in the regime when operators carry parametrically large R-charge. The OPE coefficients of the circular Wilson loop in chiral…

High Energy Physics - Theory · Physics 2009-11-07 K. Zarembo

In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f(g), appearing in the dimensions of high-spin operators of the N=4 SYM…

High Energy Physics - Theory · Physics 2008-11-26 M. K. Benna , S. Benvenuti , I. R. Klebanov , A. Scardicchio

We discuss the spin-dependent structure function $g_2(x,Q^2)$ in the framework of the operator product expansion. It is noted that the anomalous dimensions and coefficient functions for the twist-3 gluon-field-dependent operators depend on…

High Energy Physics - Phenomenology · Physics 2016-09-01 Yoshiaki Yasui

We investigate the renormalization of the twist-3 operators which are relevant for the spin-dependent structure function $g_{2}(x, Q^{2})$. We derive the anomalous dimension for the non-singlet part by calculating the off-shell Green's…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Yoshiaki Yasui , Kazuhiro Tanaka , Tsuneo Uematsu

We study three-dimensional conformal field theories with a large-$N$ limit. Leveraging the framework of slightly broken higher-spin symmetry, we bootstrap correlation functions between the single-trace, local operators and straight,…

High Energy Physics - Theory · Physics 2025-05-16 Gwenaël Ferrando , Amit Sever , Elior Urisman

We study 1/2-BPS Wilson loop operators in maximally supersymmetric Yang-Mills theory on $d$-dimensional spheres. Their vacuum expectation values can be computed at large $N$ through supersymmetric localisation. The holographic duals are…

High Energy Physics - Theory · Physics 2025-04-08 Davide Astesiano , Pieter Bomans , Fridrik Freyr Gautason , Valentina Giangreco M. Puletti , Alexia Nix

An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N=4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and…

High Energy Physics - Theory · Physics 2014-11-18 J. M. Henn
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