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Although partition temperature derived using the Darwin-Fowler method is exact for simple scenarios, the derivation for complex systems might reside on specific approximations whose viability is not ensured if the thermodynamic limit is not…

Nuclear Theory · Physics 2023-11-09 Wei-Liang Qian , Kai Lin , Rui-Hong Yue , Yogiro Hama , Takeshi Kodama

We discuss SU(N) gluo-dynamics at finite temperature and on a spatial circle. We show that the effective action for the Polyakov Loop operator is a one dimensional gauged SU(N) principle chiral model with variables in the loop space and…

High Energy Physics - Theory · Physics 2016-09-06 G. Grignani , G. Semenoff , P. Sodano

We express the partition function for an equilibrium system of interacting particles in the canonical ensemble as a functional integration over the particles' density field. We outline a method to evaluate the partition function by…

Condensed Matter · Physics 2009-10-31 Tong Zhou

Multiple Parton Interactions are the tool to obtain information on the correlations between partons in the hadron structure. Partons may be correlated in all degrees of freedom and all different correlation terms contribute to the cross…

High Energy Physics - Phenomenology · Physics 2015-03-17 Giorgio Calucci , Daniele Treleani

Particle production in high-energy collisions is often addressed within the framework of the thermal (statistical) model. We present a method to calculate the canonical partition function for the hadron resonance gas with exact conservation…

High Energy Physics - Phenomenology · Physics 2014-11-20 F. Beutler , A. Andronic , P. Braun-Munzinger , K. Redlich , J. Stachel

We study the Polyakov loop and the correlator of two Polyakov loops at finite temperature in the weak-coupling regime. We calculate the Polyakov loop at order g^4. The calculation of the correlator of two Polyakov loops is performed at…

High Energy Physics - Phenomenology · Physics 2010-10-27 Nora Brambilla , Jacopo Ghiglieri , Peter Petreczky , Antonio Vairo

We consider the Bjorken limit in the framework of the effective action approach and discuss its similarities to the Regge limit. The proposed effective action allows for a rather simple calculation of the known evolution kernels. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. E. Derkachov , R. Kirschner

Measurements of heavy quark production in electron-positron collisions are used to analyse the strong interactions between quarks and anti-quarks. A scaling behaviour is observed in distributions of the rapidity change of D*, B*, and B…

High Energy Physics - Experiment · Physics 2009-11-07 Martin Erdmann

We calculate exactly functional determinants for quantum oscillations about periodic instantons with non-trivial value of the Polyakov line at spatial infinity. Hence, we find the weight or the probability with which calorons with…

High Energy Physics - Theory · Physics 2009-11-10 Dmitri Diakonov , Nikolay Gromov , Victor Petrov , Sergey Slizovskiy

We study thermal Casimir and quantum non-retarded Lifshitz interactions between dielectrics in general geometries. We map the calculation of the classical partition function onto a determinant which we discretize and evaluate with the help…

Statistical Mechanics · Physics 2009-11-13 S. Pasquali , A. C. Maggs

Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules. A compact one dimensional…

Chemical Physics · Physics 2015-06-11 Krzysztof Pachucki

The key problem of statistical physics standing over one hundred years is how to exactly calculate the partition function (or free energy) of many-body interaction systems, which severely hinders application of the theory for realistic…

Statistical Mechanics · Physics 2019-04-26 Bo-Yuan Ning , Le-Cheng Gong , Tsu-Chien Weng , Xi-Jing Ning

The free energy of a static quark-antiquark pair is obtained in an interacting dyon ensemble near the deconfinement temperature. Comparing the results with the noninteracting case, we observe that the string tension between the…

High Energy Physics - Phenomenology · Physics 2017-08-07 Motahareh Kiamari , Sedigheh Deldar

We demonstrate the QCD factorization for inclusive hadron production in $pA$ collisions in the saturation formalism at one-loop order, with explicit calculation of both real and virtual gluon radiation diagrams. The collinear divergences…

High Energy Physics - Phenomenology · Physics 2013-05-30 Giovanni A. Chirilli , Bo-Wen Xiao , Feng Yuan

Describing the Coulomb interactions between electrons in atomic or molecular systems is an important step to help us obtain accurate results for the different observables in the system. One convenient approach is to separate the dynamic…

Chemical Physics · Physics 2025-01-22 Claude Le Sech , Antonio Sarsa

We discuss color screening in 2+1 flavor QCD in terms of free energies of a static quark-antiquark pair. Thermal modifications of long distance correlations in quark-antiquark systems are studied in terms of static meson correlators. We…

High Energy Physics - Lattice · Physics 2016-02-01 Alexei Bazavov , Peter Petreczky , Johannes Heinrich Weber

This article presents a systematic theoretical enquiry concerning the conceptual foundations and the nature of phonon-mediated electron-electron interactions. Starting from the fundamental many-body Hamiltonian, we propose a simple scheme…

Materials Science · Physics 2020-09-08 R. Starke , G. A. H. Schober

We study the thermodynamics of short-range interacting, two-dimensional bosons constrained to the lowest Landau level. When the temperature is higher than other energy scales of the problem, the partition function reduces to a…

Quantum Gases · Physics 2020-09-02 Bhilahari Jeevanesan , Sergej Moroz

We propose to quantify the "correlation" inherent in a many-electron (or many-fermion) wavefunction by comparing it to the unique uncorrelated state that has the same single-particle density operator as it does.

Quantum Physics · Physics 2009-11-11 Alex D. Gottlieb , Norbert J. Mauser

Faussurier et al. [Phys. Rev. E 65, 016403 (2001)] proposed to use a variational principle relying on Jensen-Feynman (or Gibbs-Bogoliubov) inequality in order to optimize the accounting for two-particle interactions in the calculation of…

Atomic Physics · Physics 2015-05-13 Jean-Christophe Pain , Franck Gilleron , Gerald Faussurier