English
Related papers

Related papers: Finite density 2d O(3) sigma model: dualization an…

200 papers

Structural and kinetic aspects of 2-D irreversible metal deposition under potentiostatic conditions are analyzed by means of dynamic Monte Carlo simulations employing embedded atom potentials for a model system. Three limiting models, all…

Materials Science · Physics 2007-05-23 M. Cecilia Gimenez , Mario G. Del Popolo , Ezequiel P. M. Leiva

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

We recalculate four-loop renormalization group functions in 2-dimensional nonlinear O(n) {\sigma}-model using coordinate-space method. The high accuracy of calculation allow us to find the analytical form of {\beta}- and {\gamma}-function…

High Energy Physics - Phenomenology · Physics 2013-06-13 O. Veretin

We investigate the low-temperature behavior of two-dimensional (2D) RP$^{N-1}$ models, characterized by a global O($N$) symmetry and a local ${\mathbb Z}_2$ symmetry. For $N=3$ we perform large-scale simulations of four different 2D lattice…

Statistical Mechanics · Physics 2020-09-02 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous…

Statistical Mechanics · Physics 2009-07-20 Andreas Nußbaumer , Elmar Bittner , Wolfhard Janke

Random sequential adsorption of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding random walks on the…

Statistical Mechanics · Physics 2009-11-13 I. Lončarević , Lj. Budinski-Petković , S. B. Vrhovac

We present a functional Schr\"{o}dinger picture formalism of the (1+1)-dimensional $O(N) $ nonlinear sigma model. The energy density has been calculated to two-loop order using the wave functional of a gaussian form, and from which the…

High Energy Physics - Theory · Physics 2008-11-26 Dae Kwan Kim , Chul Koo Kim

We consider a lattice gas model which in addition to the canonical nearest neighbor pair interatomic interaction accounts for a many-body interaction inside atomic trios. Interactions of this kind arise in the coherent strained epitaxy and…

Materials Science · Physics 2007-05-23 V. I. Tokar , H. Dreyssé

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the…

Statistical Mechanics · Physics 2025-03-05 Francesco Parisen Toldin

We use Monte Carlo simulations to map out the phase diagram of the two dimensional Coulomb gas on a square lattice, as a function of density and temperature. We find that the Kosterlitz-Thouless transition remains up to higher charge…

Condensed Matter · Physics 2009-10-28 Pramod Gupta , S. Teitel

We study the relaxation process in a two-dimensional lattice gas model, where the interactions come from the excluded volume. In this model particles have three arms with an asymmetrical shape, which results in geometrical frustration that…

Statistical Mechanics · Physics 2009-11-07 A. Diaz-Sanchez , Antonio de Candia , Antonio Coniglio

We study with lattice Monte Carlo simulations the relation of global O(2) symmetry breaking in three dimensions to the properties of a geometrically defined vortex loop network. We find that different definitions of constructing a network…

High Energy Physics - Lattice · Physics 2009-10-31 K. Kajantie , M. Laine , T. Neuhaus , A. Rajantie , K. Rummukainen

Many scalar field theory models with complex actions are invariant under the antilinear ($PT$) symmetry operation $L^{\ast}(-\chi)=L(\chi)$. Models in this class include the $i\phi^{3}$ model, the Bose gas at finite density and Polyakov…

High Energy Physics - Lattice · Physics 2018-11-28 Michael C. Ogilvie , Leandro Medina

We study a one-dimensional two-component Fermi gas in a harmonic trapping potential using finite temperature lattice quantum Monte Carlo methods. We are able to compute observables in the canonical ensemble via an efficient projective…

Quantum Gases · Physics 2023-09-14 Felipe Attanasio , Marc Bauer , Renzo Kapust , Jan M. Pawlowski

Monte Carlo simulation using a cluster algorithm is used to compute the scaling part of the free energy for a three dimensional O(4) spin model. The results are relevant for analysis of lattice studies of high temperature QCD.

High Energy Physics - Lattice · Physics 2009-10-28 Doug Toussaint

In this paper we propose to interpret the large discretization artifacts affecting the neutral pion mass in maximally twisted lattice QCD simulations as O(a^2) effects whose magnitude is roughly proportional to the modulus square of the…

High Energy Physics - Lattice · Physics 2010-04-30 P. Dimopoulos , R. Frezzotti , C. Michael , G. C. Rossi , C. Urbach

We discuss the connection between various types of improved actions in the context of the two-dimensional sigma-model. We also discuss spectrum-improved actions showing that these actions do not have any improved behaviour. An O(a^2)…

High Energy Physics - Lattice · Physics 2009-10-28 Sergio Caracciolo , Andrea Pelissetto

For the family of O(n) invariant nonlinear sigma-models we consider boundary conditions that are periodic up to an O(n) rotation. The helicity modulus is related to the change in free energy under variations of the corresponding angle. It…

High Energy Physics - Lattice · Physics 2015-06-25 Heiko Molke , Ulli Wolff

Particle simulations confined by sharp walls usually develop an oscillatory density profile. For some applications, most notably soft matter liquids, this behavior is often unrealistic and one expects a monotonic density climb instead. To…

Computational Physics · Physics 2016-11-02 Airidas Korolkovas

We present Monte Carlo calculations of the thermodynamics of the (2+1) dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as…

High Energy Physics - Lattice · Physics 2018-11-14 Andrei Alexandru , Paulo F. Bedaque , Henry Lamm , Scott Lawrence , Neill C. Warrington