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Related papers: Fermion damping rate in a hot medium

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We evaluate exactly both the non-relativistic and relativistic fermion determinant in 2+1 dimensions in a constant background field at finite temperature. The effect of finite chemical potential is also considered. In both cases, the…

High Energy Physics - Theory · Physics 2014-11-18 Sze-Shiang Feng , Zhi Yao , De-Pin Zhao , De-Si Zang

We show how to extend the standard functional approach to bosonisation, based on a decoupling change of path-integral variables, to the case in which a finite temperature is considered. As examples, in order to both illustrate and check the…

High Energy Physics - Theory · Physics 2016-08-15 M. V. Manías , C. M. Naón , M. L. Trobo

We study the thermodynamics of quantum particles with long-range interactions at T=0. Specifically, we generalize the Hamiltonian Mean Field (HMF) model to the case of fermions and bosons. In the case of fermions, we consider the…

Statistical Mechanics · Physics 2015-12-01 Pierre-Henri Chavanis

Within a mean field plus Random-Phase Approximation formalism, we investigate the collective excitations of a three component Fermi-Bose mixture of K atoms, magnetically trapped and subjected to repulsive s-wave interactions. We analyze…

Condensed Matter · Physics 2009-11-07 P. Capuzzi , E. S. Hernandez

Solutions to the Thirring model are constructed in the framework of algebraic QFT. It is shown that for all positive temperatures there are fermionic solutions only if the coupling constant is $\lambda = \sqrt{2(2n+1)\pi}, n\in \bf N$,…

High Energy Physics - Theory · Physics 2007-05-23 N. Ilieva , W. Thirring

We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time…

Statistical Mechanics · Physics 2020-01-10 Edward B. Baker

We calculate the fermion damping rate to second order in powers of the external momentum $p$ in the context of QED at finite temperature using the hard-thermal-loop (HTL) summation scheme. We find that the coefficient of order $p^{2}$ is…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Abada , K. Bouakaz

The non extensive thermodynamics of an ideal gas composed by bosons and/or fermions is derived from its partition function for systems with finite chemical potentials. It is shown that the thermodynamical quantities derived in the present…

High Energy Physics - Phenomenology · Physics 2014-11-19 Eugenio Megias , Debora P. Menezes , Airton Deppman

Using a proposed generalization of the pair distribution function for a gas of non-interacting particles obeying fractional exclusion statistics in arbitrary dimensionality, we derive the statistical correlations in the asymptotic limit of…

Statistical Mechanics · Physics 2009-01-09 F. M. D. Pellegrino , G. G. N. Angilella , N. H. March , R. Pucci

Using numerical methods, we study the formation of self-bound quantum Bose-Fermi droplets at nonzero temperatures. We describe an attractive atomic Bose-Fermi mixture using quantum hydrodynamics enriched by beyond-mean-field corrections and…

Quantum Gases · Physics 2026-02-24 Maciej Lewkowicz , Mirosław Brewczyk , Mariusz Gajda , Tomasz Karpiuk

We analyze quantum criticality at finite temperature for a class of non-Fermi liquids with massless bosons. Finite temperature gives rise to new infrared singularities that invalidate standard perturbative treatments. We show how such…

Strongly Correlated Electrons · Physics 2017-10-25 Huajia Wang , Gonzalo Torroba

Noninteracting fermions, placed in a system with a continuous density of states, may have zeros in the $N$-fermion canonical partition function on the positive real $\beta$ axis (or very close to it), even for a small number of particles.…

Statistical Mechanics · Physics 2011-11-28 R. K. Bhaduri , A. MacDonald , W. van Dijk

The path-integral of the fermionic oscillator with a time-dependent frequency is analyzed. We give the exact relation between the boundary condition to define the domain in which the path-integral is performed and the transition amplitude…

High Energy Physics - Theory · Physics 2007-05-23 H. Kikuchi

The electron-positive fermion gas in three dimensions and $T=0$ is modeled as two independent fermion gases interacting via the coulomb interaction. The main advantage of the simple model is that all existing results from the electron gas…

Superconductivity · Physics 2024-11-27 Carl A. Kukkonen

This article studies, both theoretically and numerically, a nonlinear drift-diffusion equation describing a gas of fermions in the zero-temperature limit. The equation is considered on a bounded domain whose boundary is divided into an…

Analysis of PDEs · Mathematics 2020-06-05 Luigi Barletti , Francesco Salvarani

We propose a general variational fermionic many-body wavefunction that generates an effective Hamiltonian in a quadratic form, which can then be exactly solved. The theory can be constructed within the density functional theory framework,…

Strongly Correlated Electrons · Physics 2020-10-30 Xindong Wang , Xiao Chen , Liqin Ke , Hai-Ping Cheng , B. N. Harmon

Starting from the Hubbard model in the weak-coupling limit, we derive a spin-fermion model where the collective spin excitations are described by a non-linear sigma model. This result is used to compute the fermion spectral function $A({\bf…

Strongly Correlated Electrons · Physics 2007-05-23 N. Dupuis

Thermodynamically stable low-temperature phases of the Bose-Fermi mixtures composed of bosons and spinless fermions close to four dimensions are considered. In the regime, where the only boson-fermion two-body interaction is present and…

Quantum Gases · Physics 2024-04-01 V. Pastukhov

Computing solutions to partial differential equations using the fast Fourier transform can lead to unwanted oscillatory behavior. Due to the periodic nature of the discrete Fourier transform, waves that leave the computational domain on one…

Numerical Analysis · Mathematics 2023-01-18 Anne Liu , Thomas Trogdon

A two component model of negative U centers coupled with the Fermi sea of itinerant fermions is discussed in connection with high-temperature superconductivity of cuprates, and superfluidity of atomic fermions. We examine the phase…

Superconductivity · Physics 2009-11-10 A. S. Alexandrov