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We discuss the average-field approximation for a trapped gas of non-interacting anyons in the quasi-bosonic regime. In the homogeneous case, i.e., for a confinement to a bounded region, we prove that the energy in the regime of large…

Mathematical Physics · Physics 2018-11-20 M. Correggi , D. Lundholm , N. Rougerie

In the present paper we obtain rates of convergence for the limit theorems of the density vector in the Curie-Weiss-Potts model via Stein's Method of exchangeable pairs. Our results include Kolmogorov bounds for multivariate normal…

Probability · Mathematics 2013-01-10 Peter Eichelsbacher , Bastian Martschink

This article discusses the well-posedness and error analysis of the coupling of finite and boundary elements for transmission or contact problems in nonlinear elasticity. It concerns W^{1,p}-monotone Hencky materials with an unbounded…

Numerical Analysis · Mathematics 2023-03-09 Heiko Gimperlein , Ernst P. Stephan

A fermion ground state energy functional is set up in terms of particle density, relative pair density, and kinetic energy tensor density. It satisfies a minimum principle if constrained by a complete set of compatibility conditions. A…

Chemical Physics · Physics 2009-10-17 Bin Liu , Jerome K. Percus

Supersymmetric lattice models of constrained fermions are known to feature exotic phenomena such as superfrustration, with an extensive degeneracy of ground states, the nature of which is however generally unknown. Here we address this…

Strongly Correlated Electrons · Physics 2021-09-22 Natalia Chepiga , Jiří Minář , Kareljan Schoutens

The thermodynamics and the dynamics of particle systems with infinite-range coupling display several unusual and new features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model represents a…

Statistical Mechanics · Physics 2009-09-29 Thierry Dauxois , Vito Latora , Andrea Rapisarda , Stefano Ruffo , Alessandro Torcini

We introduce meshfree finite difference methods for approximating nonlinear elliptic operators that depend on second directional derivatives or the eigenvalues of the Hessian. Approximations are defined on unstructured point clouds, which…

Numerical Analysis · Mathematics 2017-05-03 Brittany D. Froese

We discuss the fermion couplings in a four dimensional SU(2) linear moose model by allowing for direct couplings between the left-handed fermions on the boundary and the gauge fields in the internal sites. This is realized by means of a…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. Casalbuoni , S. De Curtis , D. Dolce , D. Dominici

We develop and test a spectral-density analysis method, based on the introduction of smeared energy kernels, to extract physical information from two-point correlation functions computed numerically in lattice field theory. We apply it to a…

The process e+e- --> W+W- provides a valuable laboratory to test the Standard Model (SM) and to search for new physics. The most general helicity amplitudes for this process require the introduction of nine form-factors which we calculate…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , T. Hatsukano , S. Ishihara , R. Szalapski

We calculate the phase diagram of the Bose-Fermi Hubbard model on the 3d cubic lattice at fermionic half filling and bosonic unit filling by means of single-site dynamical mean-field theory. For fast bosons, this is equivalent to the Cooper…

Quantum Gases · Physics 2015-06-04 Peter Anders , Philipp Werner , Matthias Troyer , Manfred Sigrist , Lode Pollet

The level density is among the most important statistical nuclear properties. It appears in Fermi's golden rule for transition rates and is an important input to the Hauser-Feshbach theory of compound nucleus reactions. We discuss empirical…

Nuclear Theory · Physics 2022-01-05 Y. Alhassid

We present an efficient method for computing the zero frequency limit of transport coefficients in strongly coupled field theories described holographically by higher derivative gravity theories. Hydrodynamic parameters such as shear…

High Energy Physics - Theory · Physics 2010-02-23 Miguel F. Paulos

A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

We study equilibrium statistical mechanics of classical point counter-ions, formulated on 2D Euclidean space with logarithmic Coulomb interactions (infinite number of particles) or on the cylinder surface (finite particle numbers), in the…

Soft Condensed Matter · Physics 2011-03-08 L. Samaj , E. Trizac

Based on the quark mass density- and temperature- dependent model we suggest a model for nuclear matter where the meson field is introduced to be directly coupled to the quarks. The dynamic formation of the nucleon bag, the saturation…

Nuclear Theory · Physics 2009-11-10 Wei Liang Qian , Ru Keng Su

We study the meson potential energy in a non-conformal model at both zero and finite temperature via gauge/gravity duality. This model consists of five-dimensional Einstein gravity coupled to a scalar field with a non-trivial potential.…

High Energy Physics - Theory · Physics 2022-05-11 M. Asadi , Ali Hajilou

We propose a new \textit{quadratic programming-based} method of approximating a nonstandard density using a multivariate Gaussian density. Such nonstandard densities usually arise while developing posterior samplers for unobserved…

Econometrics · Economics 2023-02-14 Abhishek K. Umrawal , Joshua C. C. Chan

We present ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant four-fermion interaction. As in previous studies of four-fermion and Higgs--Yukawa…

High Energy Physics - Lattice · Physics 2018-03-30 David Schaich , Simon Catterall

We determine the superfluid transition temperatures $T_c$ and the ground states of the attractive Hubbard model and find new insulating phases associated with non-integer filling at sufficiently strong pairing attraction $|U|$. These…

Other Condensed Matter · Physics 2011-09-13 Chih-Chun Chien , Yan He , Qijin Chen , K. Levin
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