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We analyze the quark spectral function above and below the critical temperature for deconfinement and at finite momentum in quenched lattice QCD. It is found that the temporal quark correlation function in the deconfined phase near the…

High Energy Physics - Lattice · Physics 2009-11-18 Masakiyo Kitazawa , Frithjof Karsch

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

We simulated the fourier transform of the correlation function of the Ising model in two and three dimensions using a single cluster algorithm with improved estimators. The simulations are in agreement with series expansion and the…

High Energy Physics - Lattice · Physics 2009-10-22 C. Ruge , P. Zhu , F. Wagner

Correlation functions in Euclidean conformal field theories in four dimensions are expressed as representations of the conformal group $SL(2,\H)$, $\H$ being the field of quaternions, on the configuration space of points. The…

High Energy Physics - Theory · Physics 2021-06-30 Aritra Pal , Koushik Ray

Two-dimensional $CP^{N-1}$ models are investigated by Monte Carlo methods on the lattice, for values of $N$ ranging from 2 to 21. Scaling and rotation invariance are studied by comparing different definitions of correlation length $\xi$.…

High Energy Physics - Lattice · Physics 2009-10-22 Massimo Campostrini , Paolo Rossi , Ettore Vicari

We study the relation between quark confinement and chiral symmetry breaking in QCD. Using lattice QCD formalism, we analytically express the various "confinement indicators", such as the Polyakov loop, its fluctuations, the Wilson loop,…

High Energy Physics - Lattice · Physics 2017-11-03 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

In this paper we produce evidence that confinement of colour is due to dual superconductivity of $QCD$ vacuum. To do that we put together results of old numerical simulations and results of more recent investigations. The starting point is…

High Energy Physics - Lattice · Physics 2026-02-11 Adriano Di Giacomo

The effective chiral Lagrangian in both nonlocal form $L_{ECCL}$ and standard local form $L_{ECL}$ are derived in QCD using the confining kernel, obtained in the vacuum correlator formalism. As a result all coefficients of $L_{ECL}$ can be…

High Energy Physics - Phenomenology · Physics 2016-07-20 Yu. A. Simonov

Correlation functions in a dynamic quartic matrix model are obtained from the two-point function through a recurrence relation. This paper gives the explicit solution of the recurrence by mapping it bijectively to a two-fold nested…

Mathematical Physics · Physics 2022-04-15 Jins de Jong , Alexander Hock , Raimar Wulkenhaar

Colormagnetic confinement as a natural component of the QCD confinement is explained and treated in the framework of the Field Correlator Method. For quarks and gluons in hadrons the effects of the colormagnetic confinement are discussed at…

High Energy Physics - Phenomenology · Physics 2023-03-29 Yu. A. Simonov

We study a three dimensional Z(3)-symmetric effective theory of high temperature QCD. The exact lattice-continuum relations, needed in order to perform lattice simulations with physical parameters, are computed to order O(a^0) in lattice…

High Energy Physics - Lattice · Physics 2008-11-26 A. Kurkela

Energy correlators measured inside high-energy jets at hadron colliders have recently been demonstrated to provide a new window into both perturbative and non-perturbative Quantum Chromodynamics. A number of the most interesting features of…

High Energy Physics - Phenomenology · Physics 2023-08-01 Max Jaarsma , Yibei Li , Ian Moult , Wouter J. Waalewijn , Hua Xing Zhu

We have calculated the running coupling in SU(2), SU(3), and SU(4) gauge theories to see whether they have infrared fixed points. An infrared fixed point means no confinement: It means that the long-distance physics is conformal, without a…

High Energy Physics - Lattice · Physics 2013-01-10 Benjamin Svetitsky

We provide a general formalism to calculate the infrared correlators of multiple interacting scalar fields in the de Sitter space by means of the stochastic approach. These scalar fields are treated as test fields and hence our result is…

High Energy Physics - Theory · Physics 2013-05-30 Hayato Motohashi , Teruaki Suyama , Jun'ichi Yokoyama

We compute temporal correlators and spectral functions for light, open charm and charmonium mesons in the pseudoscalar and vector channel for a range of temperatures below and above the deconfinement transition. The study is carried out…

High Energy Physics - Lattice · Physics 2019-03-27 Ryan Quinn , Jonas Glesaaen , Alexander Rothkopf , Jon-Ivar Skullerud

We discuss a correlation function factorization, which relates a three-point function to the square root of three two-point functions. This factorization is known to hold for certain scaling operators at the two-dimensional percolation…

Statistical Mechanics · Physics 2015-05-13 Jacob J. H. Simmons , Peter Kleban

We discuss different static quark correlators, including Wilson loops in 2+1 flavor QCD at non-zero temperature and their relation to in-medium quarkonium properties. We present lattice results on static correlation functions obtained with…

High Energy Physics - Lattice · Physics 2015-06-12 A. Bazavov , P. Petreczky

We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential…

High Energy Physics - Theory · Physics 2023-07-12 Federico Gasparotto , Stefan Weinzierl , Xiaofeng Xu

We outline a strategy to compute deeply inelastic scattering structure functions using a hybrid quantum computer. Our approach takes advantage of the representation of the fermion determinant in the QCD path integral as a quantum mechanical…

High Energy Physics - Theory · Physics 2020-07-22 Niklas Mueller , Andrey Tarasov , Raju Venugopalan

This study investigates the femtoscopic correlation functions of charmonium-nucleon pairs, utilizing the lattice QCD phase shifts provided by the HAL QCD Collaboration. A ``model-independent'' formalism is employed to transform scattering…

High Energy Physics - Phenomenology · Physics 2025-09-09 Zhi-Wei Liu , Duo-Lun Ge , Jun-Xu Lu , Ming-Zhu Liu , Li-Sheng Geng
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