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The action of the 2d O(3) non-linear sigma model on the lattice in a bath of particles, when expressed in terms of standard O(3) degrees of freedom, is complex. A reformulation of the model in terms of new variables that makes the action…

High Energy Physics - Lattice · Physics 2018-12-26 B. Alles , O. Borisenko , Alessandro Papa

We present a method for the direct evaluation of the difference between the free energies of two crystalline structures, of different symmetry. The method rests on a Monte Carlo procedure which allows one to sample along a path, through…

Statistical Mechanics · Physics 2009-10-30 A. D. Bruce , N. B. Wilding , G. J. Ackland

We investigate the attractive Fermi polaron problem in two dimensions using non-perturbative Monte Carlo simulations. We introduce a new Monte Carlo algorithm called the impurity lattice Monte Carlo method. This algorithm samples the path…

Quantum Gases · Physics 2015-10-29 Shahin Bour , Dean Lee , H. -W. Hammer , Ulf-G. Meißner

We study the properties of the electroweak sphaleron on a finite lattice. The cooling algorithm for saddle points is used to obtain the static classical solutions of the SU(2)-Higgs field theory. Results are presented for $M_H=\infty, M_W,…

High Energy Physics - Lattice · Physics 2015-06-25 Margarita Garcia Perez , Pierre van Baal

We determine the sphaleron transition rate using real time lattice simulations of the classical system. An improved definition of the lattice topological charge allows us to obtain a more reliable estimate of the transition rate. For an…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Ambjorn , A. Krasnitz

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

We present preliminary numerical results from a lattice study of the two-dimensional O(3) non-linear sigma model. In the continuum this model possesses N=2 supersymmetry. The lattice formulation we use retains an exact (twisted)…

High Energy Physics - Lattice · Physics 2009-11-10 Sofiane Ghadab

We present a Monte Carlo method for the direct evaluation of the difference between the free energies of two crystal structures. The method is built on a lattice-switch transformation that maps a configuration of one structure onto a…

Statistical Mechanics · Physics 2009-10-31 A. D. Bruce , A. N. Jackson , G. J. Ackland , N. B. Wilding

A $\theta$ term, which couples to topological charge, is added to the two-dimensional lattice CP^3 model and U(1) gauge theory. Monte Carlo simulations are performed and compared to strong-coupling character expansions. In certain…

High Energy Physics - Lattice · Physics 2009-10-30 Jan C. Plefka , Stuart Samuel

We compute the sphaleron rate on the lattice. We adopt a novel strategy based on the extraction of the spectral density via a modified version of the Backus-Gilbert method from finite-lattice-spacing and finite-smoothing-radius Euclidean…

High Energy Physics - Lattice · Physics 2023-12-27 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia , Lorenzo Maio , Manuel Naviglio

The phase diagram of SO(3) lattice gauge theory is investigated by Monte Carlo techniques on both symmetric and asymmetric lattices with a view (i) to understanding the relationship between the bulk transition and the deconfinement…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai

The O(3) sigma model in two spatial dimensions admits topological (Bogomol'nyi) lower bound on its energy. This paper proposes a lattice version of this system which maintains the Bogomol'nyi bound and allows the explicit construction of…

High Energy Physics - Theory · Physics 2016-09-06 Theodora Ioannidou

We present a new and exploratory approach to determine the $\Delta\beta(\beta)$-shift in the $O(3)$ nonlinear $\sigma$-model. The method is based on a scaling hypothesis for a free energy difference, which is assumed to be valid in a…

High Energy Physics - Lattice · Physics 2016-08-14 T. Neuhaus

We calculate the free energy density of the two dimensional O(3) non linear sigma model over a large temperature region. At high temperatures the calculations could be done by perturbation theory whereas in the low temperature regime we…

High Energy Physics - Lattice · Physics 2009-10-28 S. P. Spiegel

We show how to generalize the Lattice Switch Monte Carlo method to calculate the phase diagram of a binary system. A global coordinate transformation is combined with a modification of particle diameters, enabling the multi-component system…

Statistical Mechanics · Physics 2009-11-13 A. N. Jackson , G. J. Ackland

We compute the sphaleron rate on the lattice from the inversion of the Euclidean time correlators of the topological charge density, performing also controlled continuum and zero-smoothing extrapolations. The correlator inversion is…

High Energy Physics - Lattice · Physics 2023-09-26 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia , Lorenzo Maio , Manuel Naviglio

We investigate a Hamiltonian lattice version of the two-dimensional Wess-Zumino model by Quantum Monte Carlo simulations. In order to study the pattern of supersymmetry breaking, we measure the ground state energy and the correlation length…

High Energy Physics - Lattice · Physics 2009-11-07 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

The two-dimensional U(1)-gauged Higgs model is studied on an euclidean lattice of size $L_1\times L_2$, where the temperature $T=L_2^{-1}$ is of the order of the sphaleron mass. The simulation parameters are taken from zero temperature…

High Energy Physics - Lattice · Physics 2009-10-28 Hermann Dilger

Different methods for extracting resonance parameters from Euclidean lattice field theory are tested. Monte Carlo simulations of the O(4) non-linear sigma model are used to generate energy spectra in a range of different volumes both below…

High Energy Physics - Lattice · Physics 2013-04-16 Pietro Giudice , Darran McManus , Mike Peardon

To investigate the three-dimensional quantum electrodynamics in the radial quantization on the lattice, the lattice action is constructed and the free limit is studied on $S^2 \times \mathbb{R}$. With the overlap fermion, it is numerically…

High Energy Physics - Lattice · Physics 2025-12-12 Peter A. Boyle , Richard C. Brower , George T. Fleming , Emanuel Katz , Nobuyuki Matsumoto , Rohan Misra
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