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The energy of a type II superconductor placed in a strong non-uniform, smooth and signed magnetic field is displayed via a universal characteristic function defined by means of a simplified two dimensional Ginzburg-Landau functional. We…

Analysis of PDEs · Mathematics 2017-03-28 Ayman Kachmar , Marwa Nasrallah

We study the origin of non-analyticity in \alpha_s of a short-distance QCD observable to demonstrate that the infrared renormalons, the same-sign factorial growth of the perturbative expansion, is a universal phenomenon that originates…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yu. L. Dokshitzer , N. G. Uraltsev

Bilinear Euclidean quark and gluon correlators with Wilson links have been used widely for applications of large-momentum effective field theories to computing non-perturbative collinear and soft parton physics. Due to color confinement,…

High Energy Physics - Lattice · Physics 2026-01-21 Xiangdong Ji , Yizhuang Liu , Yushan Su

The method of analytic perturbation theory, which avoids the problem of ghost-pole type singularities and gives a self-consistent description of both spacelike and timelike regions, is applied to describe the "light" Adler function…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. A. Milton , I. L. Solovtsov , O. P. Solovtsova

We compute euclidean coordinate space correlation functions in a holographic model of QCD. We concentrate, in particular, on channels that are related to the U(1)_A problem, the flavor-singlet axialvector, pseudoscalar meson, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Schaefer

We analyze the pole expansion of the two-hadron imaginary-time correlation function. We first explain the general idea that the imaginary-time correlation function is expressed as a sum of the pole terms, the Mittag-Leffler expansion, in…

High Energy Physics - Lattice · Physics 2025-05-07 Wren Yamada , Osamu Morimatsu , Toru Sato , Koichi Yazaki

Quantum electrodynamics (QED) in a strong constant magnetic field is investigated from the viewpoint of its connection with noncommutative QED. It turns out that within the lowest Landau level (LLL) approximation the 1-loop contribution of…

High Energy Physics - Theory · Physics 2009-11-11 Michio Hashimoto

We apply a recently constructed model of analytic QCD in the Operator Product Expansion (OPE) analysis of the tau lepton decay data in the V+A channel. The model has the running coupling A(Q^2) with no unphysical singularities, i.e., it is…

High Energy Physics - Phenomenology · Physics 2015-06-11 Gorazd Cvetič , Cristián Villavicencio

Two renormalization group invariant quantities in quantum chromodinamics (QCD), defined in Euclidean space,namely, Adler D-function of electron-positron annihilation to hadrons and Bjorken polarized deep-inelastic scattering sum rule, are…

High Energy Physics - Phenomenology · Physics 2020-12-01 I. O. Goriachuk , A. L. Kataev

We compute, for the first time, the order alpha_s^4 contributions to the Bjorken sum rule for polarized electron-nucleon scattering and to the (non-singlet) Adler function for the case of a generic colour gauge group. We confirm at the same…

High Energy Physics - Phenomenology · Physics 2010-04-06 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We briefly report our recent progress on the study of the polarized fragmentation functions of $\Lambda$ hyperon in unpolarized semi-inclusive deep-inelastic scatterings and electron-positron annihilations at low energies. In particular, we…

High Energy Physics - Phenomenology · Physics 2023-01-18 Shu-yi Wei

We present approximations of varying degree of sophistication to the integral equations for the (gluon) structure functions of a hadron (``the partonic flux factor'') in a model valid in the Leading Log Approximation with a running coupling…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Andersson , G. Gustafson , H. Kharraziha

We develope the method of improvement of perturbative theory in QCD, applied to any polarization operator. The case of polarization operator \Pi(q^2), corresponding to the process e^+e^- -> hadrons is considered in details. Using the…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. V. Geshkenbein , B. L. Ioffe

We present physical arguments as well as numerical evidence to show that the Cooper pair (gap) function vanishes on the Fermi surface in strongly correlated electron systems such as \tJ and \lU Hubbard models in one and two dimensions.…

Condensed Matter · Physics 2007-05-23 G. Baskaran , D. G. Kanhere , Mihir Arjunwadkar , Rahul Basu

We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by means of a massive extension of the Faddeev-Popov action. This model is based on some phenomenological arguments and constraints on the ultraviolet…

High Energy Physics - Theory · Physics 2013-05-29 Matthieu Tissier , Nicolas Wschebor

This article generalizes the result of Katzarkov and Ramachandran from algebraic surfaces to K\"ahler surfaces. We follow their argument to prove the holomorphic convexity of a reductive Galois covering over a compact K\"ahler surface which…

Complex Variables · Mathematics 2023-03-14 Yuan Liu

Analytic versions of QCD are those whose coupling alpha_s(Q^2) does not have the unphysical Landau singularities on the space-like axis (-q^2=Q^2 > 0). The coupling is analytic in the entire complex plane except the time-like axis (Q^2 <…

High Energy Physics - Phenomenology · Physics 2008-12-18 Gorazd Cvetic , Cristian Valenzuela

I show that Sudakov resummation takes a particularly transparent form if one deals with the second logarithmic derivative of the short distance coefficient functions for deep inelastic scattering and the Drell-Yan process. A uniquely…

High Energy Physics - Phenomenology · Physics 2008-11-26 Georges Grunberg

The electromagnetic coupling receives significant contributions to its running from non-perturbative QCD effects. We present an update of a lattice QCD study of the Adler function and of its application to the determination of the running…

High Energy Physics - Lattice · Physics 2015-11-17 Anthony Francis , Vera Gülpers , Gregorio Herdoíza , Hanno Horch , Benjamin Jäger , Harvey B. Meyer , Hartmut Wittig

Infrared (IR) dimension function $d_\text{IR}(\lambda)$ characterizes the space effectively utilized by QCD quarks at Dirac scale $\lambda$, and indirectly the space occupied by glue fields. It was proposed that its non-analytic behavior in…

High Energy Physics - Lattice · Physics 2024-01-11 Andrei Alexandru , Ivan Horváth , Neel Bhattacharyya