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In this paper, we study numerical approximations of the ground states in finite temperature density functional theory. We formulate the problem with respect to the density matrices and justify the convergence of the finite dimensional…

Numerical Analysis · Mathematics 2024-05-14 Ge Xu , Huajie Chen , Xingyu Gao

Using exact partition functions and finite-size corrections for the Ising model on finite square, plane triangular, and honeycomb lattices, we obtain universal finite-size scaling functions for the specific heat, the internal energy, and…

Statistical Mechanics · Physics 2009-11-10 Ming-Chya Wu , Chin-Kun Hu , N. Sh. Izmailian

We consider quantum field theories with boundary on a codimension one hyperplane. Using 1+1 dimensional examples, we clarify the relation between three parameters characterising one-point functions, finite size corrections to the ground…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bajnok , L. Palla , G. Takacs

We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large distance regime we reduce the summation over all excited states…

High Energy Physics - Theory · Physics 2015-05-30 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

We derive exact and closed-form expressions for a large class of two-point and three-point inflation correlators with the tree-level exchange of a single massive particle. The intermediate massive particle is allowed to have arbitrary mass,…

High Energy Physics - Theory · Physics 2023-07-26 Zhehan Qin , Zhong-Zhi Xianyu

We propose the finite-size scaling of correlation function in a finite system near its critical point. At a distance ${\bf r}$ in the finite system with size $L$, the correlation function can be written as the product of $|{\bf…

Statistical Mechanics · Physics 2018-06-01 Xin Zhang , Gaoke Hu , Yongwen Zhang , Xiaoteng Li , Xiaosong Chen

The curvature which characterizes the QCD phase transition at finite temperature and small values of the chemical potential is accessible to lattice simulations. The results for this quantity which have been obtained by several different…

High Energy Physics - Phenomenology · Physics 2011-04-20 Bertram Klein , Jens Braun , Bernd-Jochen Schaefer

We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length {\xi} and at finite temperature. We address the correspondence between the geometrical transverse…

Statistical Mechanics · Physics 2012-10-03 Elisabeth Agoritsas , Sebastian Bustingorry , Vivien Lecomte , Gregory Schehr , Thierry Giamarchi

We present an implementation in a linear-scaling density-functional theory code of an electronic enthalpy method, which has been found to be natural and efficient for the ab initio calculation of finite systems under hydrostatic pressure.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Niccolò R. C. Corsini , Andrea Greco , Nicholas D. M. Hine , Carla Molteni , Peter D. Haynes

We calculate holographically three-point functions of scalar operators with large dimensions at finite density and finite temperature. To achieve this, we construct new solutions that involve two isometries of the deformed internal space.…

High Energy Physics - Theory · Physics 2023-09-15 George Georgiou , Dimitrios Zoakos

We consider four- and six-fermion interacting models at finite temperature and density. We construct the corresponding free energies and investigate the appearance of first- and second-order phase transitions. Finite-size effects on the…

High Energy Physics - Theory · Physics 2014-09-03 L. M. Abreu , F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

We present a conjecture for the exact expression of finite volume expectation values in excited states in integrable quantum field theories, which is an extension of an earlier conjecture to the case of general diagonal factorized…

High Energy Physics - Theory · Physics 2015-06-23 B. Pozsgay , I. M. Szecsenyi , G. Takacs

In this paper we review the calculations that are needed to obtain the bosonic and fermionic effective potential at finite temperature and volume (at one loop). The calculations at finite volume correspond to $S^1\times R^d$ topology. These…

Mathematical Physics · Physics 2009-08-28 V. K. Oikonomou

We analyze the determination of volume effects for correlation functions that depend on an external momentum. As a specific example, we consider finite volume nucleon current correlators, and focus on the nucleon magnetic moment. Because…

High Energy Physics - Lattice · Physics 2008-11-26 B. C. Tiburzi

Finite volume effects are studied both with low-momentum cutoff and with momentum discretization in the framework of an (axial)vector meson extended quark-meson model with Polyakov-loop variables. In the momentum cutoff scenario, the CEP…

High Energy Physics - Phenomenology · Physics 2024-01-17 Győző Kovács , Péter Kovács , Pok Man Lo , Krzysztof Redlich , György Wolf

PDFs can be studied directly using lattice QCD by evaluating matrix elements of non-local operators. A number of groups are pursuing numerical calculations and investigating possible systematic uncertainties. One systematic that has…

High Energy Physics - Lattice · Physics 2018-11-08 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

We derive finite temperature versions of integral formulae for the two-point correlation functions in the antiferromagnetic XXZ chain. The derivation is based on the summation of density matrix elements characterizing a finite chain segment…

Statistical Mechanics · Physics 2011-02-16 Frank Göhmann , Nils P. Hasenclever , Alexander Seel

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite size contributions to a general measure of ground state…

Quantum Physics · Physics 2009-11-13 F. C. Alcaraz , M. S. Sarandy

We discuss the correlation function of hadronic currents in the Schwinger model at finite temperature $T$. We explicitly construct the retarded correlator in real time and obtain analytical results for the Euclidean correlator on a torus.…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Fayyazuddin , T. H. Hansson , M. A. Nowak , J. J. M. Verbaarschot , I. Zahed

We present a new approach to the static finite temperature correlation functions of the Heisenberg chain based on functional equations. An inhomogeneous generalization of the n-site density operator is considered. The lattice path integral…

Statistical Mechanics · Physics 2012-08-09 Britta Aufgebauer , Andreas Klümper