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We communicate results on correlation functions for the spin-1/2 Heisenberg-chain in two particularly important cases: (a) for the infinite chain at arbitrary finite temperature $T$, and (b) for finite chains of arbitrary length $L$ in the…

Strongly Correlated Electrons · Physics 2016-06-06 Jun Sato , Britta Aufgebauer , Hermann Boos , Frank Göhmann , Andreas Klümper , Minoru Takahashi , Christian Trippe

Recently a new approach to the determination of dynamic correlation lengths, {\xi}, for supercooled liquids, based on the properties of the slow (picosecond) vibrational dynamics, was carried out [L. Hong, V.N. Novikov, and A.P. Sokolov,…

Soft Condensed Matter · Physics 2015-05-30 D. Fragiadakis , R. Casalini , C. M. Roland

The effective string picture of confinement is used to derive theoretical predictions for the interquark potential at finite temperature. At short distances, the leading string correction to the linear confining potential between a heavy…

High Energy Physics - Lattice · Physics 2009-11-10 Michele Caselle , Martin Hasenbusch , Marco Panero

In the high dimension (mean field) limit the susceptibility and the second moment correlation length of the Ising ferromagnet depend on temperature as chi(T)=tau^{-1} and xi(T)=T^{-1/2}tau^{-1/2} exactly over the entire temperature range…

Statistical Mechanics · Physics 2009-11-13 I. A. Campbell , P. Butera

Slow relaxation and aging of the conductance are experimental features of a range of materials, which are collectively known as electron glasses. We report dynamic Monte Carlo simulations of the standard electron glass lattice model. In a…

Disordered Systems and Neural Networks · Physics 2012-12-03 J. Bergli , Y. M. Galperin

We investigate the effective potential of the Polyakov loop, which is the order parameter for the deconfinement phase transition in finite temperature QCD. Our work is based on the Hamiltonian approach in Coulomb gauge where finite…

High Energy Physics - Phenomenology · Physics 2022-12-14 Markus Quandt , Hugo Reinhardt

We consider the long-run growth rate of the average value of a random multiplicative process $x_{i+1} = a_i x_i$ where the multipliers $a_i=1+\rho\exp(\sigma W_i - \frac12 \sigma^2 t_i)$ have Markovian dependence given by the exponential of…

Mathematical Physics · Physics 2020-12-08 Dan Pirjol

There is a certain consensus that the very fast growth of the relaxation time $\tau$ occurring in glass-forming liquids on lowering the temperature must be due to the thermally activated rearrangement of correlated regions of growing size.…

Disordered Systems and Neural Networks · Physics 2009-11-19 Chiara Cammarota , Andrea Cavagna , Giacomo Gradenigo , Tomas S. Grigera , Paolo Verrocchio

Screenings of the quark-gluon plasma in electric and magnetic sectors are studied on the basis of generalized Polyakov-line correlation functions in lattice QCD simulations with two flavors of improved Wilson quarks. Using the…

High Energy Physics - Lattice · Physics 2010-05-27 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita , T. Umeda

We describe an application of the linear $\de$-expansion to the calculation of correlation functions in SU(2)-Higgs lattice gauge theory. A significant advantage of the technique is that an infinite volume lattice may be used, allowing the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , H. F. Jones , A. Ritz

We investigate ultraviolet fixed points in the real-time evolution of non-Abelian gauge fields. Classical-statistical lattice simulations reveal equal-time correlation functions with a spectral index 3/2. Analytical understanding of this…

High Energy Physics - Phenomenology · Physics 2009-11-13 Sebastian Scheffler

In any Abelian gauge theory with an action periodic in the link variables one can perform a duality transformation not only in the partition function, but also in correlation functions including Polyakov loops. The calculation of…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

On anisotropic lattices with the anisotropy $\xi=a_\sigma/a_\tau$ the following basic parameters are calculated by perturbative method: (1) the renormalization of the gauge coupling in spatial and temporal directions, $g_\sigma$ and…

High Energy Physics - Lattice · Physics 2009-10-31 S. Sakai , T. Saito , A. Nakamura

The analytic continuation needed for the extraction of transport coefficients necessitates in principle a continuous function of the Euclidean time variable. We report on progress towards achieving the continuum limit for 2-point correlator…

High Energy Physics - Lattice · Physics 2013-11-18 A. Francis , O. Kaczmarek , M. Laine , M. Müller , T. Neuhaus , H. Ohno

We construct periodic approximations to the free energies of Ising models on fractal lattices of dimension smaller than two, in the case of zero external magnetic field, using a generalization of the combinatorial method of Feynman and…

Statistical Mechanics · Physics 2015-11-16 Alessandro Codello , Vincent Drach , Ari Hietanen

We perform SU(3) Lattice Gauge Theory simulations of the deconfinement transition attempting to mimic conditions encountered in heavy ion collisions. Specifically, we perform a sudden temperature quench across the deconfinement temperature,…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. T. Tomboulis , A. Velytsky

The behaviour of the space-like string tension in the high temperature phase is studied. Data obtained in the $Z_2$ gauge model in (2+1) dimensions are compared with predictions of a simple model of a fluctuating flux tube with finite…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , R. Fiore , F. Gliozzi , P. Guaita , S. Vinti

A popular observable in finite-temperature lattice QCD is the so-called singlet quark-antiquark free energy, conventionally defined in Coulomb gauge. In an effort to interpret the existing numerical data on this observable, we compute it at…

High Energy Physics - Phenomenology · Physics 2013-01-10 Y. Burnier , M. Laine , M. Vepsalainen

The analytic strong coupling expansion of the gluodynamics under a rotation with an angular velocity $\omega$ is reported. While the expansion is systematic, free from additional assumptions, the deconfinement temperature determined by the…

High Energy Physics - Phenomenology · Physics 2025-05-22 Sheng Wang , Jun-Xia Chen , Defu Hou , Hai-Cang Ren

We propose a two-step procedure to study the order of phase transitions at finite temperature in electroweak theory and in simplified models thereof. In a first step a coarse grained free energy is computed by perturbative methods. It is…

High Energy Physics - Lattice · Physics 2009-10-28 U. Kerres , G. Mack , G. Palma