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The effect of a finite volume presents itself both in heavy ion experiments as well as in recent model calculations. The magnitude is sensitive to the proximity of a nearby critical point. We calculate the finite volume effects at finite…

High Energy Physics - Lattice · Physics 2024-01-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pásztor , Chik Him Wong

We investigate the topological properties of unquenched $QCD$ on the basis of numerical results of simulations at fixed topological charge, recently reported by Borsanyi et al.. We demonstrate that their results for the mean value of the…

High Energy Physics - Lattice · Physics 2016-12-07 Vicente Azcoiti

Recent results of lattice QCD at finite temperature and density are reviewed. At vanishing density the transition temperature, the equation of state and hadron properties are discussed both for the pure gauge theory and for dynamical…

High Energy Physics - Lattice · Physics 2009-11-10 S. D. Katz

We simulate lattice QCD with 2 flavours of massless quarks on lattices of temporal extent N_t=8, to study the finite temperature transition from hadronic matter to a quark-gluon plasma. A modified action which incorporates an irrelevant…

High Energy Physics - Lattice · Physics 2009-11-11 J. B. Kogut , D. K. Sinclair

The behaviour of the chiral condensate in QCD is investigated by means of a study of the distribution of the zeros of the partition function in the complex quark mass plane. Simulations are performed at fixed temperature on three different…

High Energy Physics - Lattice · Physics 2009-10-22 I. M. Barbour , A. J. Bell , E. G. Klepfish

Using lattice simulations, we study the extent of the conformal window for an $\text{SU}(3)$ gauge theory with $N_f$ Dirac fermions in the fundamental representation. We present evidence that the infrared behavior is conformal for $12 \leq…

High Energy Physics - Phenomenology · Physics 2009-12-15 Thomas Appelquist , George T. Fleming , Ethan T. Neil

We report on the progress of understanding spatial correlation functions in high temperature QCD. We study isovector meson operators in $N_f=2$ QCD using domain-wall fermions on lattices of $N_s=32$ and different quark masses. It has…

High Energy Physics - Lattice · Physics 2018-10-08 C. Rohrhofer , Y. Aoki , G. Cossu , L. Ya. Glozman , S. Hashimoto , S. Prelovsek

A brief review is given of the sign problem in finite density lattice QCD and various attempts to overcome it. To date there is still no solution to this problem which would work for realistic QCD. The main focus then is on the deconfined…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen

We present results for lattice QCD in the limit of infinite gauge coupling on a discrete spatial but continuous Euclidean time lattice. A worm type Monte Carlo algorithm is applied in order to sample two-point functions which gives access…

High Energy Physics - Lattice · Physics 2018-11-06 Marc Klegrewe , Wolfgang Unger

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-01 Howard D. Trottier , R. M. Woloshyn

An effective quasiparticle description of deconfined QCD thermodynamics compatible with both finite temperature nonperturbative lattice data and the asymptotic limit is generalized to finite chemical potential. Implications for the N_f = 4…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Peshier , B. Kaempfer

We study deep-inelastic scattering factorization on a nucleon in the end-point regime $x_B \sim 1-{\cal O}(\Lambda_{\rm QCD}/Q)$ where the traditional operator product expansion is supposed to fail. We argue, nevertheless, that the standard…

High Energy Physics - Phenomenology · Physics 2008-11-26 Panying Chen , Ahmad Idilbi , Xiangdong Ji

In the high-temperature phase of QCD meson spectral functions at nonzero momentum are expected to have a nontrivial and interesting structure. In order to provide a reference point for lattice studies employing e.g. the Maximal Entropy…

High Energy Physics - Lattice · Physics 2016-09-01 Gert Aarts , Simon Hands , Seyong Kim , Jose M. Martinez Resco

I review the status of lattice QCD calculations at non-zero temperature. After summarizing what is known about the equilibrium properties of strongly interacting matter, I discuss in more detail recent results concerning the quark-mass…

High Energy Physics - Lattice · Physics 2015-12-22 Harvey B. Meyer

The paper develops a method for discrete computational Fourier analysis of functions defined on quasicrystals and other almost periodic sets. A key point is to build the analysis around the emerging theory of quasicrystals and diffraction…

Mathematical Physics · Physics 2008-08-14 R. V. Moody , M. Nesterenko , J. Patera

We describe the application of Dyson-Schwinger equations to the calculation of hadron observables. The studies at zero temperature (T) and quark chemical potential (mu) provide a springboard for the extension to finite-(T,mu). Our exemplars…

Nuclear Theory · Physics 2007-05-23 Pieter Maris , Craig D. Roberts

We present results for lattice QCD with staggered fermions in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is obtained by…

High Energy Physics - Lattice · Physics 2020-08-19 Marc Klegrewe , Wolfgang Unger

A review of chiral perturbation theory for lattice QCD at non-zero lattice spacing is given.

High Energy Physics - Lattice · Physics 2009-11-10 Oliver Baer

We propose a numerical method to efficiently compute quantum generating functions (QGF) for a wide class of observables in one-dimensional quantum systems at high temperature. We obtain high-accuracy estimates for the cumulants and…

Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool to investigate sign problem in Lattice QCD. The central…

High Energy Physics - Lattice · Physics 2018-04-18 V. G. Bornyakov , D. Boyda , V. Goy , A. Molochkov , A. Nakamura , A. Nikolaev , V. I. Zakharov
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