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At high energies, the relevant degrees of freedom are Wilson lines - infinite gauge links ordered along straight lines collinear to the velocities of colliding particles. The effective action for these Wilson lines is determined by the…

High Energy Physics - Phenomenology · Physics 2010-02-17 Ian Balitsky

An exactly soluble non-perturbative model of the pure gauge QCD is derived as a weak coupling limit of the lattice theory in plaquette formulation. The model represents QCD as a theory of the weakly interacting field strength fluxes. The…

High Energy Physics - Theory · Physics 2009-10-30 B. Rusakov

Starting from the QCD Hamiltonian in near-light cone coordinates, we study the dynamics of the gluonic zero modes. Euclidean 2+1 dimensional lattice simulations show that the gap at strong coupling vanishes at intermediate coupling. This…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. -M. Ilgenfritz , Yu. P. Ivanov , H. -J. Pirner

Gauge symmetry breaking by boundary conditions on a manifold is known to be equivalent to Wilson-line breaking through a background gauge field, and is therefore spontaneous. These equivalent pictures are related by a non-periodic gauge…

High Energy Physics - Theory · Physics 2009-09-29 Lawrence J. Hall , Hitoshi Murayama , Yasunori Nomura

We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external…

High Energy Physics - Theory · Physics 2016-12-16 Dmitry Chicherin , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We analyze the higher-twist effects and the SU(3)-flavour symmetry breaking in the correlation functions used to calculate form factors of pseudoscalar mesons in the QCD light-cone sum rule approach. It is shown that the Ward identities for…

High Energy Physics - Phenomenology · Physics 2011-09-13 Johan Bijnens , Alexander Khodjamirian

We construct a quark target model (QTM) to incorporate intrinsic glue into effective low-energy models of QCD, which often contain only quark degrees of freedom. This method guarantees the gauge invariance of observables order-by-order in…

High Energy Physics - Phenomenology · Physics 2021-10-27 C. S. R. Costa , Adam Freese , Ian C. Cloët , Bruno El-Bennich , Gastão Krein , Peter C. Tandy

The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic factorization follow as special cases. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions. Isospin symmetry is explicitly broken by distinct masses and electric charges of the up and down quarks. In order…

High Energy Physics - Lattice · Physics 2018-04-18 Andreas Risch , Hartmut Wittig

Wilson line on a non-simply connected manifold is a nice way to break SU(5) unified symmetry, and to solve the doublet--triplet splitting problem. This mechanism also requires, however, that the two Higgs doublets are strictly vector-like…

High Energy Physics - Theory · Physics 2009-10-31 Radu Tatar , Taizan Watari

By explicit construction, we show that one can in a simple way introduce and measure gravitational holonomies and Wilson loops in lattice formulations of nonperturbative quantum gravity based on (Causal) Dynamical Triangulations. We use…

General Relativity and Quantum Cosmology · Physics 2015-07-15 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

Complete two-loop calculation of a dimensionally regularized Wilson loop with light-like segments is performed in the light-like axial gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator. We find an expression which…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Bassetto , I. A. Korchemskaya , G. P. Korchemsky , G. Nardelli

We prove collinear factorization theorem for the process $\pi\gamma^*\to\pi$ at the twist-3 level in the covariant gauge by means of the Ward identity, concentrating on the two-parton case. It is shown that soft divergences cancel and…

High Energy Physics - Phenomenology · Physics 2011-09-13 Makiko Nagashima , Hsiang-nan Li

We apply recently developed path integral resummation methods to perturbative quantum gravity. In particular, we provide supporting evidence that eikonal graviton amplitudes factorize into hard and soft parts, and confirm a recent…

High Energy Physics - Theory · Physics 2015-03-19 Chris D. White

We consider gluonic contributions to the heavy flavor Wilson coefficients at 3-loop order in QCD with two heavy quark lines in the asymptotic region $Q^2 \gg m_{1(2)}^2$. Here we report on the complete result in the case of two equal masses…

High Energy Physics - Phenomenology · Physics 2014-07-11 J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wißbrock

The light-front (LF) quantization of QCD in light-cone (l.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and theory quantized canonically. The Dyson-Wick perturbation theory expansion based on LF-time…

High Energy Physics - Phenomenology · Physics 2017-08-23 Prem P. Srivastava , Stanley J. Brodsky

Large-N phase transitions occurring in massive N=2 theories can be probed by Wilson loops in large antisymmetric representations. The logarithm of the Wilson loop is effectively described by the free energy of a Fermi distribution and…

High Energy Physics - Theory · Physics 2018-08-15 Jorge Russo , Konstantin Zarembo

We consider soft electrons in massless QED at tree-level. The emission amplitude at leading order in the soft electron energy factorizes in a way similar to the soft photon case. We recast the soft electron factorization formula as a Ward…

High Energy Physics - Theory · Physics 2023-07-24 Adrián Agriela , Miguel Campiglia

For a marked surface $\Sigma$ and a semisimple algebraic group $G$ of adjoint type, we study the Wilson line morphism $g_{[c]}:\mathcal{P}_{G,\Sigma} \to G$ associated with the homotopy class of an arc $c$ connecting boundary intervals of…

Representation Theory · Mathematics 2023-11-07 Tsukasa Ishibashi , Hironori Oya

In this paper we prove factorization of fragmentation function in non-equilibrium QCD by using Schwinger-Keldysh closed-time path integral formalism. We use the background field method of QCD in a pure gauge in path integral approach to…

High Energy Physics - Phenomenology · Physics 2010-02-11 Gouranga C Nayak
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