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Linear singularly perturbed convection-diffusion problems with characteristic layers are considered in three dimensions. We demonstrate the sharpness of our recently obtained upper bounds for the associated Green's function and its…

Numerical Analysis · Mathematics 2013-06-28 Sebastian Franz , Natalia Kopteva

This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in…

High Energy Physics - Theory · Physics 2010-03-12 Ashok Das , J. Frenkel

Shell effects reflects irregularities of physical quantities caused by a discrete energy spectrum. The theory of the shell effects by Kirzhnits and Shpatakovskaya is valid only at relatively low densities providing for oscillations of…

Plasma Physics · Physics 2016-08-30 Sergey Dyachkov , Pavel Levashov

We present, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature, which can be used to determine the finite temperature effective action for…

High Energy Physics - Theory · Physics 2015-05-13 Ashok Das , J. Frenkel

Effects of finite-temperature quasiparticle self-energy corrections to x-ray absorption spectra are investigated within the finite-temperature quasiparticle local density GW approximation up to temperatures $T$ of order the Fermi…

Materials Science · Physics 2023-03-29 Tun S. Tan , J. J. Kas , S. B. Trickey , J. J. Rehr

We investigate the mesonic light-front bound-state equations of the 't Hooft and Schwinger model in the two-particle, i.e. valence sector, for small fermion mass. We perform a high precision determination of the mass and light-cone wave…

High Energy Physics - Theory · Physics 2009-10-30 Koji Harada , Thomas Heinzl , Christian Stern

Recent progress in the theory of fission of hot nuclei is reported. We discuss in particular the properties of the friction formfactor as function of the deformation (and possibly of the temperature) which are necessary to reproduce data…

Nuclear Theory · Physics 2009-11-10 P. Fröbrich

We present an approach for self-consistent calculations of the many-body Green function in transition metals. The distinguishing feature of our approach is the use of the one-site approximation and the self-consistent quasiparticle wave…

Strongly Correlated Electrons · Physics 2009-11-07 N. E. Zein , V. P. Antropov

The issue of electric charges in interaction with partially reflective surfaces is addressed by means of field theoretic methods. It is proposed an enlarged Maxwell lagrangian, describing the electromagnetic field in the presence of a…

High Energy Physics - Theory · Physics 2014-10-02 F. E. Barone , F. A. Barone

We comment on various incorrect claims made in a recent paper by Grosu et al. (cond-mat/0101392).

Statistical Mechanics · Physics 2007-05-23 D. Belitz , T. R. Kirkpatrick

The magnon Hedin's equations are derived via the Schwinger functional derivative technique, and the resulting self-consistent Green's function method is used to calculate ground state spin patterns and magnetic structure factors for…

Strongly Correlated Electrons · Physics 2022-11-30 Zhen Zhao , Claudio Verdozzi , Ferdi Aryasetiawan

In the first-quantised worldline approach to quantum field theory, a long-standing problem has been to extend this formalism to amplitudes involving open fermion lines while maintaining the efficiency of the well-tested closed-loop case. In…

An exact expression for the Green function of a purely fermionic system moving on the manifold $\Re \times \Sigma^{D-1}$, where $\Sigma^{D-1}$ is a $(D-1)$-torus, is found. This expression involves the bosonic analog of $\chi_n =…

High Energy Physics - Theory · Physics 2009-10-31 J. Gamboa

In the light-front formulation of field theory, it is possible to write down a chirally invariant mass term. It thus appears as if one could solve the species doubling problem on a light-front quantized transverse lattice in a chirally…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Burkardt , H. El-Khozondar

The Schwinger model is used to study the artifacts of quenching in a controlled way. The model is solved on a finite-temperature cylinder of circumference $\beta=1/T$ with bag-inspired local boundary conditions at the two ends $x^1=0$ and…

High Energy Physics - Lattice · Physics 2009-10-31 Stephan Dürr , Stephen R. Sharpe

We evaluate the one-loop fermion self-energy for the gauged Thirring model in (2+1) dimensions, with one massive fermion flavor, in the framework of the causal perturbation theory. In contrast to QED$_3$, the corresponding two-point…

High Energy Physics - Theory · Physics 2011-09-13 L. A. Manzoni , B. M. Pimentel , J. L. Tomazelli

We develop a Monte Carlo sampling algorithm to numerically evaluate the Lehmann representation for the finite temperature single-particle Green's function in the repulsive Lieb-Liniger model. This allows us to determine the spectral…

Statistical Mechanics · Physics 2026-05-20 Riccardo Senese , Fabian H. L. Essler

We offer several perspectives on the behavior at infinity of solutions of discrete Schroedinger equations. First we study pairs of discrete Schroedinger equations whose potential functions differ by a quantity that can be considered small…

Classical Analysis and ODEs · Mathematics 2011-09-23 Evans M. Harrell , Manwah Lilian Wong

We study the thermodynamics of the two flavor massless Schwinger model on a torus at a finite chemical potential. We show that thermodynamic quantities only depend on the isospin chemical potential and there are marked deviations from a…

High Energy Physics - Theory · Physics 2013-05-30 R. Narayanan

The non-Fermi liquid physics at the edge of fractional quantum Hall systems is described by specific chiral Conformal Field Theories with central charge c=1. The charged quasi-particles in these theories have fractional charge and obey a…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 R. A. J. van Elburg , K. Schoutens