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Factorization in gauge theories holds at the amplitude or amplitude-squared level for states of given soft or collinear momenta. When performing phase-space integrals over such states, one would generally like to avoid putting in explicit…

高能物理 - 唯象学 · 物理学 2015-06-03 Ilya Feige , Matthew D. Schwartz , Kai Yan

We utilize a previously constructed thermodynamic $T$-matrix approach to the quark-gluon plasma (QGP) to calculate Wilson line correlators (WLCs) of a static quark-antiquark pair and apply them to the results from 2+1-flavor lattice-QCD…

高能物理 - 格点 · 物理学 2023-10-31 Zhanduo Tang , Swagato Mukherjee , Peter Petreczky , Ralf Rapp

We calculate quantum averages of Wilson loops (holonomies) in gauge theories on the Euclidean noncommutative plane, using a path-integral representation of the star-product. We show how the perturbative expansion emerges from a concise…

高能物理 - 理论 · 物理学 2009-11-10 J. Ambjorn , A. Dubin , Y. Makeenko

Using an effective field theory approach, we address the effects on the gauge couplings of one and two additional compact dimensions in the presence of a constant background (gauge) field. Such background fields are a generic presence in…

高能物理 - 理论 · 物理学 2015-06-26 D. M. Ghilencea

The paper solves the problem of continuum limit in bosonic thermal coherent-state path integrals. For this purpose, exact discrete versions of the path integral are constructed for three different orderings of the Hamiltonian: normal,…

量子物理 · 物理学 2026-02-03 Oliwier Urbański

We introduce a novel approach to high-energy QCD factorization of cross-sections for processes involving a dilute projectile and a dense target. Our method preserves the factorization between "fast" and "slow" modes in the longitudinal…

高能物理 - 唯象学 · 物理学 2025-09-25 Renaud Boussarie , Paul Caucal , Yacine Mehtar-Tani

In this article we study the electrical conductivity in QED using the resummed 3PI effective action. We work to 3-loop order in the effective action. We show that the resulting expression for the conductivity is explicitly gauge invariant,…

高能物理 - 唯象学 · 物理学 2008-11-26 M. E. Carrington , E. Kovalchuk

We study two-loop anomalous dimension matrices in QCD and related gauge theories for products of Wilson lines coupled at a point. We verify by an analysis in Euclidean space that the contributions to these matrices from diagrams that link…

高能物理 - 唯象学 · 物理学 2009-06-19 Alexander Mitov , George Sterman , Ilmo Sung

We study the Wilson loops for contours formed by a consecutive passage of two touching circles with a common tangent, but opposite orientation. The calculations are performed in lowest nontrivial order for ${\cal N}=4$ SYM at weak and…

高能物理 - 理论 · 物理学 2019-02-20 Harald Dorn

We discuss how to implement the source terms in Quantum Chromodynamics (QCD) respecting gauge invariance and noncommutativity of color charge density operators. We start with decomposing the generating functional of QCD into constituents…

高能物理 - 唯象学 · 物理学 2009-11-11 Kenji Fukushima

The Wilson contour integral approach is applied to resum the soft gluon radiative correctins to the quark form factors in the Sudakov regime. The one-loop order results for the quark-photon (color singlet form factor) and quark-gluon (color…

高能物理 - 唯象学 · 物理学 2007-05-23 Igor O. Cherednikov

We emphasize that non-conformal theories provide a natural playground for the ideas of the Maldacena conjecture, opening the possibility of exploring properties that could potentially be in the same universality class as QCD. In particular,…

高能物理 - 理论 · 物理学 2008-11-26 Leopoldo A. Pando Zayas , Daniel J. Phalen , Cesar A. Terrero-Escalante

It is well-known that the expectation values of null polygonal Wilson loops computed in planar \(\mathcal{N}=4\) super Yang-Mills theory are dual to MHV amplitudes in that theory, and moreover that the duality can be extended to higher…

高能物理 - 理论 · 物理学 2025-12-16 James Drummond , Ömer Gürdoğan , Matthew Rochford , Rowan Wright

We consider a light-like Wilson loop in N=4 SYM evaluated on a regular n-polygon contour. Sending the number of edges to infinity the polygon approximates a circle and the expectation value of the light-like WL is expected to tend to the…

高能物理 - 理论 · 物理学 2015-06-23 Marco S. Bianchi , Matias Leoni

In the context of OPE and using the large-$\beta_0$ approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable $X(Q^2)$ with an explicit IR cutoff,…

高能物理 - 唯象学 · 物理学 2017-07-17 Go Mishima , Yukinari Sumino , Hiromasa Takaura

We update the leading order in $\alpha_s$ QCD amplitude for deep exclusive neutrino and antineutrino production of a light meson on an unpolarized nucleon. The factorization theorems of the collinear QCD approach allow us to write the…

高能物理 - 唯象学 · 物理学 2017-07-05 B. Pire , L. Szymanowski , J. Wagner

We present universal factorization formulas describing the behavior of one-loop QCD amplitudes as external momenta become either soft or collinear. Our results are valid to all orders in the dimensional regularization parameter, $\eps$.…

高能物理 - 唯象学 · 物理学 2016-08-25 Z. Bern , V. Del Duca , W. B. Kilgore , C. R. Schmidt

The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The…

高能物理 - 唯象学 · 物理学 2012-04-18 Randall Kelley , Matthew D. Schwartz

Conformal field theory finds applications across diverse fields, from statistical systems at criticality to quantum gravity through the AdS/CFT correspondence. These theories are subject to strong constraints, enabling a systematic…

高能物理 - 理论 · 物理学 2024-01-22 Julien Barrat

We investigate properties of the topological charge for several SU(NC) gauge field ensembles for NC = 4, 5, 6 with a single fermion in the two-index anti-symmetric representation, covering multiple lattice spacings at otherwise…

高能物理 - 格点 · 物理学 2025-06-27 Pietro Butti , Michele Della Morte , Benjamin Jäger , Sofie Martins , J. Tobias Tsang