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We formulate the physics of two species of non-relativistic hard-core bosons with attractive or repulsive delta function interactions on a space-time lattice in the worldline approach. We show that worm algorithms can efficiently sample the…

High Energy Physics - Lattice · Physics 2019-05-01 Hersh Singh , Shailesh Chandrasekharan

Transition probabilities for stochastic systems can be expressed in terms of a functional integral over paths taken by the system. Evaluating the integral by the saddle point method in the weak-noise limit leads to a remarkable mapping…

Statistical Mechanics · Physics 2023-12-25 S P Fitzgerald , T J W Honour

A two-dimensional lattice system of non-interacting electrons in a homogeneous magnetic field with half a flux quantum per plaquette and a random potential is considered. For the large scale behavior a supersymmetric theory with collective…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 K. Ziegler

The dynamics of fission has been studied by solving Euler-Lagrange equation with dissipation generated through one and two body nuclear friction. The average kinetic energies of the fission fragments, prescission neutron multiplicities and…

Nuclear Theory · Physics 2009-09-25 Asish K. Dhara , Kewal Krishan , Chandana Bhattacharya , Sailjananda Bhattacharya

A general field-theoretical description of many-fermion systems, with or without quenched disorder, is developed. Starting from the Grassmannian action for interacting fermions, we first bosonize the theory by introducing composite matrix…

Strongly Correlated Electrons · Physics 2014-10-13 D. Belitz , T. R. Kirkpatrick

We study certain physical observables of isoscalar heavy baryons using potential models based on hadronic degrees of freedom. The goal is to compare these results with those from an effective theory obtained in a combined heavy quark and…

Nuclear Theory · Physics 2016-09-08 Z. Aziza Baccouche , Thomas D. Cohen

By using a Hamiltonian based on the coupling through flux lines, we have calculated the interaction energy between two fermions via massless bosons as well as via massive particles. In the case of interaction via massless bosons we obtain…

Nuclear Theory · Physics 2014-06-06 Voicu Dolocan , Voicu Octavian Dolocan , Andrei Dolocan

In recent articles [Mishima et al., Phys. Rev. A, 66, 033401(2002); Chao, Phys. Rev. A, 72, 053414 (2005)] it was proposed to use the residue theorem for the exact calculation of the transition amplitude describing strong-field ionization…

Atomic Physics · Physics 2013-05-29 Yulian V. Vanne , Alejandro Saenz

We study the physics of two species of non-relativistic hard-core bosons with attractive or repulsive delta function interactions on a spacetime lattice using the worldline formulation. By tuning the chemical potential carefully we show…

High Energy Physics - Lattice · Physics 2018-12-07 Hersh Singh

A new method to analytically determine the partition function zeroes of weakly coupled theories on finite-size lattices is developed. Applied to the lattice Schwinger model, this reveals the possible absence of a phase transition at fixed…

High Energy Physics - Lattice · Physics 2015-06-25 R. Kenna , C. Pinto , J. C. Sexton

We investigate the low temperature behavior of a heavy particle (mass $M$) in a fermionic bath. An effective action is considered which exactly implements the orthogonality catastrophe. It is equivalent to a model of local bosons coupling…

Condensed Matter · Physics 2010-05-24 Achim Rosch , Thilo Kopp

We review the current status of nonperturbative studies of gauge field theory using the Dyson-Schwinger equation formalism and its application to hadronic physics. We begin with an introduction to the formalism and a discussion of…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. Roberts , A. G. Williams

Certain scalar-tensor theories exhibit the so-called chameleon mechanism, whereby observational signatures of scalar fields are hidden by a combination of self-interactions and interactions with ambient matter. Not all scalar-tensor…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Philippe Brax , Carsten van de Bruck , David F. Mota , Nelson J. Nunes , Hans A. Winther

We study acceleration and preconditioning strategies for a class of Douglas-Rachford methods aiming at the solution of convex-concave saddle-point problems associated with Fenchel-Rockafellar duality. While the basic iteration converges…

Optimization and Control · Mathematics 2016-04-22 Kristian Bredies , Hongpeng Sun

We describe the large $N$ saddle point, and the structure of fluctuations about the saddle point, of a theory containing a sharp, critical Fermi surface in two spatial dimensions. The theory describes the onset of Ising order in a Fermi…

Strongly Correlated Electrons · Physics 2021-06-23 Ilya Esterlis , Haoyu Guo , Aavishkar A. Patel , Subir Sachdev

In this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We let the system of interacting particles evolve in a…

Analysis of PDEs · Mathematics 2007-05-23 Dario Benedetto , François Castella , Raffaele Esposito , M. Pulvirenti

Long-time-integrated quantities in stochastic processes, in or out of equilibrium, usually exhibit rare but huge fluctuations. Work or heat production is such a quantity, of which the probability distribution function displays an…

Statistical Mechanics · Physics 2015-06-16 Jae Sung Lee , Chulan Kwon , Hyunggyu Park

The DWF formulation becomes increasingly problematic at gauge couplings for which $a^{-1}<2$ GeV, where the roughness of the gauge field leads to increased explicit chiral symmetry breaking ($\mres$). This problem becomes especially severe…

High Energy Physics - Lattice · Physics 2010-11-15 L. Levkova , R. Mawhinney

Over the last two decades, several fast, robust, and high-order accurate methods have been developed for solving the Poisson equation in complicated geometry using potential theory. In this approach, rather than discretizing the partial…

Numerical Analysis · Mathematics 2024-09-19 Fredrik Fryklund , Leslie Greengard , Shidong Jiang , Samuel Potter

The methods of effective field theory are used to explore the theoretical and phenomenological aspects of the torsion field. Spinor action coupled to electromagnetic field and torsion possesses an additional softly broken gauge symmetry.…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. S. Belyaev , I. L. Shapiro