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Gauge invariant quark two-point Green's functions defined with path-ordered gluon field phase factors along skew-polygonal lines joining the quark to the antiquark are considered. Functional relations between Green's functions with…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Sazdjian

We study MHV amplitude for the 2 -> 5 scattering in the multi-Regge kinematics. The Mandelstam cut correction to the BDS amplitude is calculated in the leading logarithmic approximation (LLA) and the corresponding remainder function is…

High Energy Physics - Theory · Physics 2013-05-30 J. Bartels , A. Kormilitzin , L. N. Lipatov , A. Prygarin

We study two-to-two parton scattering amplitudes in the high-energy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leading-logarithmic order for arbitrary…

High Energy Physics - Phenomenology · Physics 2020-06-03 Simon Caron-Huot , Einan Gardi , Joscha Reichel , Leonardo Vernazza

We present the analytical solution in closed form for the semiclassical limit of the quantum mechanical Coulomb Green function in position space in n dimensions. We utilize a projection method which has its roots in Lambert's theorem and…

Quantum Physics · Physics 2009-07-05 Vassiliki Kanellopoulos , Manfred Kleber , Tobias Kramer

The news function providing some relevant information about angular distribution of gravitational radiation in axisymmetric black hole collisions at the speed of light had been evaluated in the literature by perturbation methods, after…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giampiero Esposito , Cosimo Stornaiolo

In a setting, where only "exit measures" are given, as they are associated with an arbitrary right continuous strong Markov process on a separable metric space, we provide simple criteria for the validity of Harnack inequalities for…

Analysis of PDEs · Mathematics 2016-07-14 Wolfhard Hansen , Ivan Netuka

We define a non-local gauge-invariant Green's function which can distinguish between the symmetric (confinement) and broken (Higgs) phases of the hot SU(2)xU(1) electroweak theory to all orders in the perturbative expansion. It is related…

High Energy Physics - Theory · Physics 2009-10-31 M. Laine , M. Shaposhnikov

We present an ongoing development of an existing code for calculating ground-state, steady-state, and transient properties of many-particle systems. The development involves the addition of the full four-index two electron integrals, which…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Richard A. Lynn , Robert van Leeuwen

We present a next to leading order calculation of electron mass renormalization in Light-Front Quantum Electrodynamics (LFQED) using old-fashioned time ordered perturbation theory (TOPT). We show that the true infrared divergences in…

High Energy Physics - Theory · Physics 2012-10-04 Jai D. More , Anuradha Misra

At the upper endpoint of the photon energy spectrum in Upsilon -> X gamma, the standard NRQCD power counting breaks down and the OPE gives rise to color-octet structure functions. Furthermore, in this kinematic regime large Sudakov…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Cheng-Wei Chiang , Sean Fleming , Adam K. Leibovich , Ian Low

A Green's function formalism is used to calculate the spectrum of localized modes of an impurity layer implanted within a ferromagnetic thin film. The equations of motion for the Green's functions are determined in the framework of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. V. Leite , B. T. F. Morais , J. Milton Pereira , R. N. Costa Filho

We discuss random matrix models in terms of elementary operations on Blue's functions (functional inverse of Green's functions). We show that such operations embody the essence of a number of physical phenomena whether at/or away from the…

High Energy Physics - Theory · Physics 2009-09-25 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed

Several studies have so far investigated transport properties of strongly correlated systems. Interesting features of these materials are the lack of resistivity saturation well beyond the Mott-Ioffe-Regel limit and the scaling of the…

Strongly Correlated Electrons · Physics 2009-11-11 F. Rizzo , E. Cappelluti , L. Pietronero

We use a lattice Green function approach to study the stationary modes of a linear/nonlinear (Kerr) impurity embedded in a periodic one-dimensional lattice where we replace the standard discrete Laplacian by a fractional one. The energies…

Pattern Formation and Solitons · Physics 2021-10-27 Mario I. Molina

We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop…

High Energy Physics - Phenomenology · Physics 2026-05-15 Simon Badger , Matteo Becchetti , Colomba Brancaccio , Michał Czakon , Heribertus Bayu Hartanto , Rene Poncelet , Simone Zoia

We point out that QCD coherence effects can help to identify the colour structure of possible new physics contributions to the anomalously large forward-backward asymmetry in top quark pair production. New physics models that yield the same…

High Energy Physics - Phenomenology · Physics 2014-01-14 Ben Gripaios , Andreas Papaefstathiou , Bryan Webber

A quadrature mirror filter (QMF) function can be considered as the transition function for a Markov process on the unit interval. The QMF functions that generate scaling functions for multiresolution analyses are then distinguished by…

Probability · Mathematics 2018-08-07 Adam Jonsson

A recently proposed generating functional allows the construction of the full set of n-point Green functions in QCD at high temperature and at distances larger than 1/gT. One may then learn how the system maintains its thermal equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Guerin

Results are presented for the quench dynamics of a clean and interacting electron system, where the quench involves varying the strength of the attractive interaction along arbitrary quench trajectories. The initial state before the quench…

Superconductivity · Physics 2019-09-04 Yonah Lemonik , Aditi Mitra

Recently, there has been significant progress in computing scattering amplitudes in the high-energy limit using rapidity evolution equations. We describe the state-of-the-art and demonstrate the interplay between exponentiation of…

High Energy Physics - Phenomenology · Physics 2019-12-24 Einan Gardi , Simon Caron-Huot , Joscha Reichel , Leonardo Vernazza