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After a brief introduction to Deep Inelastic Scattering in the Bjorken limit and in the Regge Limit we discuss the operator product expansion in terms of non local string operator and in terms of Wilson lines. We will show how the…

高能物理 - 唯象学 · 物理学 2010-02-25 Giovanni Antonio Chirilli

We employ a hybrid approach in determining the anomalous dimension and OPE coefficient of higher spin operators in the Wilson-Fisher theory. First we do a large spin analysis for CFT data where we use results obtained from the usual and the…

高能物理 - 理论 · 物理学 2018-04-04 Parijat Dey , Apratim Kaviraj

In this work, we study the renormalization of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line at the one-loop level in both lattice and continuum perturbation theory. These operators enter the…

高能物理 - 格点 · 物理学 2024-06-10 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

We impose U spin symmetry ($SU(2)_{\rm Uspin}$) on the Hamiltonian for $B$ decays. As expected, we find the equality of amplitudes related by the exchange $d \leftrightarrow s$. We also find that the amplitudes for the $\Delta S=0$…

高能物理 - 唯象学 · 物理学 2023-01-31 Bhubanjyoti Bhattacharya , Suman Kumbhakar , David London , Nicolas Payot

Null Polygon Wilson Loops (WL) in N=4 SYM can be computed using the Operator Product Expansion in terms of a transition amplitude on top of a color flux tube (FT). That picture is valid at any value of the 't Hooft coupling. So far it has…

高能物理 - 理论 · 物理学 2015-06-11 Amit Sever , Pedro Vieira , Tianheng Wang

We investigate extended Wilson loop operators, in particular tetrahedron operator in (2 + 1)-dimensional Chern-Simons-Witten theory. This operator emerges naturally from the contribution terms in twoparticle scattering amplitude. We…

高能物理 - 理论 · 物理学 2009-01-06 Freddy P Zen , Jusak S Kosasih , Asep Y Wardaya , Triyanta

We discuss the two-loop evolution of the flavor-nonsinglet meson distribution amplitude in perturbative QCD. After reviewing previous two-loop computations, we outline the incompatibility of these solutions with the group property of the…

高能物理 - 唯象学 · 物理学 2008-11-26 Alexander P. Bakulev , N. G. Stefanis

We study the existence of patterns (nontrivial, stationary solutions) for one-dimensional Swift-Hohenberg Equation in a directional quenching scenario, that is, on $x\leq 0$ the energy potential associated to the equation is bistable,…

偏微分方程分析 · 数学 2019-07-11 Rafael Monteiro , Natsuhiko Yoshinaga

High-energy QCD evolution beyond leading order suffers from instabilities driven by large collinear logarithms. We present a framework, consistent with the standard high-energy operator product expansion (OPE), that restores perturbative…

高能物理 - 唯象学 · 物理学 2025-11-12 Renaud Boussarie , Paul Caucal , Piotr Korcyl , Yacine Mehtar-Tani

We investigate a recombination-drift-diffusion model coupled to Poisson's equation modelling the transport of charge within certain types of semiconductors. In more detail, we study a two-level system for electrons and holes endowed with an…

偏微分方程分析 · 数学 2021-11-24 Klemens Fellner , Michael Kniely

We analyze the impact of QCD corrections on limits derived from neutrinoless double beta decay ($0\nu\beta\beta$). As demonstrated previously, the effect of the color-mismatch arising from loops with gluons linking the quarks from different…

高能物理 - 唯象学 · 物理学 2017-07-19 Carolina Arbeláez , Marcela González , Sergey Kovalenko , Martin Hirsch

We discuss interplay between the high-twist (HT) terms in the operator-product expansion and the next-to-next-to-leading-order (NNLO) QCD corrections to the deep-inelastic-scattering structure functions in analysis of the high-precision…

高能物理 - 唯象学 · 物理学 2007-05-23 S. Alekhin

In the recent paper arXiv:1010.5009, Maldacena et al. derive the two loop expressions for polygonal Wilson loops expectation values, or MHV amplitudes, by writing them as sums over exchanges of intermediate free particles. The spectrum of…

高能物理 - 理论 · 物理学 2015-03-17 Matteo Beccaria , Fedor Levkovich-Maslyuk , Guido Macorini

Classically supersymmetric Wilson loop on a null polygonal contour possesses all symmetries required to match it onto non-MHV amplitudes in maximally supersymmetric Yang-Mills theory. However, to define it quantum mechanically, one is…

高能物理 - 理论 · 物理学 2015-06-04 A. V. Belitsky

Consider a discrete-time quantum walk on the $N$-cycle subject to decoherence both on the coin and the position degrees of freedom. By examining the evolution of the density matrix of the system, we derive some new conclusions about the…

量子物理 · 物理学 2011-07-20 Chaobin Liu , Nelson Petulante

The spin dynamics and spin relaxation of itinerant electrons in quantum wires with spin-orbit coupling is reviewed. We give an introduction to spin dynamics, and review spin-orbit coupling mechanisms in semiconductors. The spin diffusion…

介观与纳米尺度物理 · 物理学 2010-12-17 Paul Wenk , Stefan Kettemann

We reconsider the complete set of four-quark operators in the Weak Effective Theory (WET) for non-leptonic $\Delta F=1$ decays that govern $s\to d$ and $b\to d, s$ transitions in the Standard Model (SM) and beyond, at the Next-to-Leading…

高能物理 - 唯象学 · 物理学 2021-12-22 Jason Aebischer , Christoph Bobeth , Andrzej J. Buras , Jacky Kumar , Mikołaj Misiak

Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator…

高能物理 - 格点 · 物理学 2008-09-05 W. Bietenholz , N. Cundy , M. Gockeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti

We explore a direct connection between the collinear limit and the multi-Regge limit for scattering amplitudes in the N=4 super Yang-Mills theory. Starting with the collinear expansion for the six-gluon amplitude in the Euclidean kinematic…

高能物理 - 理论 · 物理学 2015-06-19 Yasuyuki Hatsuda

The fusion rules and operator product expansion (OPE) serve as crucial tools in the study of operator algebras within conformal field theory (CFT). Building upon the vision of using entanglement to explore the connections between fusion…

高能物理 - 理论 · 物理学 2024-07-02 Song He , Yu-Xuan Zhang , Long Zhao , Zi-Xuan Zhao