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Eigenvalues of a Wilson loop operator are gauge invariant and their distribution undergoes a transition at infinite N as the size of the loop is changed. We study this transition using the average characteristic polynomial associated with…

高能物理 - 格点 · 物理学 2010-01-21 Rajamani Narayanan , Herbert Neuberger

We use light-like Wilson loops and the AdS/CFT correspondence to compute the anomalous dimensions of twist two operators in the cascading (Klebanov-Strassler) theory. The computation amounts to find a minimal surface in the UV region of the…

高能物理 - 理论 · 物理学 2009-11-10 Martin Kruczenski

I discuss the state-of-the-art knowledge of long-distance singularities in multi-leg gauge-theory scattering amplitudes and report on an on-going calculation of the three-loop soft anomalous dimension through the renormalization of…

高能物理 - 唯象学 · 物理学 2014-07-22 Einan Gardi

We discuss the measurements of the anomalous triple gauge couplings at Large Hadron Collider focusing on the contribution of the ${\cal O}_{3W}$ and ${\cal O}_{3\tilde W}$ operators. These deviations were known to be particularly hard to…

高能物理 - 唯象学 · 物理学 2019-05-01 A. Azatov , D. Barducci , E. Venturini

We reexamine the problem of operator mixing in N = 4 SYM. Particular attention is paid to the correct definition of composite gauge invariant local operators, which is necessary for the computation of their anomalous dimensions beyond…

高能物理 - 理论 · 物理学 2010-04-05 Massimo Bianchi , Giancarlo Rossi , Yassen S. Stanev

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 $Q^2 \gg m^2$.

高能物理 - 唯象学 · 物理学 2013-07-30 J. Blümlein , A. De Freitas , C. Raab , F. Wißbrock , J. Ablinger , A. Hasselhuhn , M. Round , C. Schneider , A. von Manteuffel

We present for numerical use the analytic continuations to complex arguments of those basic Mellin transforms, which build the harmonic sums contributing to the 3--loop anomalous dimensions. Eight new basic functions contribute in addition…

高能物理 - 唯象学 · 物理学 2010-04-05 Johannes Blümlein , Sven-Olaf Moch

Evanescent operators are a special class of operators that vanish in four-dimensional spacetime but are non-zero in $d=4-2\epsilon$ dimensions. In this paper, we continue our systematic study of the evanescent operators in the pure…

高能物理 - 理论 · 物理学 2023-02-14 Qingjun Jin , Ke Ren , Gang Yang , Rui Yu

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is…

高能物理 - 理论 · 物理学 2015-06-19 Nelson R. F. Braga , Edmond Iancu

We study the multi-gap topology of the periodic spectra of Wilson loop operators (WLOs) in mirror symmetric insulators. We develop two topological invariants each associated with a mirror-invariant gap in the Wilson loop spectrum. We…

介观与纳米尺度物理 · 物理学 2021-09-30 Penghao Zhu , Taylor L. Hughes , Xiao-Qi Sun

We compute the triple gluon, quark-gluon and ghost-gluon vertices of QCD at the symmetric subtraction point at two loops in the MSbar scheme. In addition we renormalize each of the three vertices in their respective momentum subtraction…

高能物理 - 唯象学 · 物理学 2015-05-30 J. A. Gracey

We perform an explicit two-loop calculation of the dilatation operator acting on single trace Wilson operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in N=2 and N=4 supersymmetric Yang-Mills…

高能物理 - 理论 · 物理学 2008-11-26 A. V. Belitsky , G. P. Korchemsky , D. Müller

In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psi and m^3. We compute…

高能物理 - 唯象学 · 物理学 2010-12-15 K. G. Chetyrkin , A. Maier

The renormalization group functions for six dimensional scalar $\phi^3$ theory with an $F_4$ symmetry are provided at four loops in the modified minimal subtraction (MSbar) scheme. Aside from the anomalous dimension of $\phi$ and the…

高能物理 - 理论 · 物理学 2017-04-26 J. A. Gracey

We compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4 SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms…

高能物理 - 理论 · 物理学 2015-06-09 Christian Marboe , Vitaly Velizhanin , Dmytro Volin

Using the approach based on conformal symmetry we calculate the three-loop (NNLO) contribution to the evolution equation for flavor-nonsinglet leading twist operators in the $\overline{\text{MS}}$ scheme. The explicit expression for the…

高能物理 - 唯象学 · 物理学 2017-06-28 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

In this paper we present the 1-loop perturbative computation of the renormalization constants and mixing coefficients of the lattice quark operators of rank three whose hadronic elements enter in the determination of the second moment of…

高能物理 - 格点 · 物理学 2016-09-01 Giuseppe Beccarini , Massimo Bianchi , Stefano Capitani , Giancarlo Rossi

We present the two-loop corrected operator matrix elements contributing to the scale evolution of the longitudinal spin structure function $g_1(x,Q^2)$ calculated up to finite terms which survive in the limit $\epsilon = N - 4 \to 0$. These…

高能物理 - 唯象学 · 物理学 2009-10-31 Y. Matiounine , J. Smith , W. L. van Neerven

Three-loop $\beta$-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous…

高能物理 - 唯象学 · 物理学 2022-10-19 Olesya Haneychuk , Valentina Shirokova , Konstantin Stepanyantz

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each…

高能物理 - 理论 · 物理学 2020-10-26 Christoph F. Uhlemann