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Two simple proofs are presented for the first order virial expansion of the self-energy of a particle moving through a medium, characterised by temperature and/or chemical potential(s). One is based on the virial expansion of the…

High Energy Physics - Theory · Physics 2011-09-13 S. Mallik

We present a simple set of rules for obtaining the imaginary part of a self energy diagram at finite temperature in terms of diagrams that correspond to physical scattering amplitudes.

High Energy Physics - Phenomenology · Physics 2009-11-07 M. E. Carrington , Hou Defu , R. Kobes

We develop systematically to all orders the forward scattering description for retarded amplitudes in field theories at zero temperature. Subsequently, through the application of the thermal operator, we establish the forward scattering…

High Energy Physics - Theory · Physics 2008-11-26 Fernando T. Brandt , Ashok Das , Josif Frenkel , Silvana Perez

In this paper, we present a comprehensive analysis of the one-loop self-energy correction at finite temperature for the bound electron. In this approach, we study the influence of thermal radiation on atomic systems. Along the way, we found…

Atomic Physics · Physics 2025-07-22 J. J. Lopez-Rodriguez , A. Bobylev , P. Kvasov , T. Zalialiutdinov , D. Solovyev

Solutions in the form of series expansion, as the Born approximation, are very useful for describing time-independent scattering of quantum particles. In this work, it is mathematically demonstred that such solutions, when applied to…

Materials Science · Physics 2009-11-10 Sérgio L. Morelhão , Luis H. Avanci , Stefan Kycia

Recently, the spectral expansion of finite temperature two-point functions in integrable quantum field theories was constructed using a finite volume regularization technique and the application of multidimensional residues. In the present…

High Energy Physics - Theory · Physics 2015-06-11 István M. Szécsényi , Gábor Takács

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

Mathematical Physics · Physics 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

A finite-temperature many-body perturbation theory is presented that expands in power series the electronic grand potential, chemical potential, internal energy, and entropy on an equal footing. Sum-over-states and sum-over-orbitals…

Chemical Physics · Physics 2020-07-15 So Hirata , Punit K. Jha

We study, in the imaginary time formalism, the relation between loops and on-shell forward scattering tree amplitudes in thermal field theories. This allows for an efficient evaluation, at all temperatures, of Green's functions with causal…

High Energy Physics - Theory · Physics 2023-04-24 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon , G. S. S. Sakoda

In the case where the charge of the particle is small compared to its mass, we describe the asymptotics of the Lorentz-Maxwell equation for any finite-energy data. As time goes to infinity, we prove that the speed of the particle converges…

Analysis of PDEs · Mathematics 2009-11-13 Pierre Germain

In this paper, we extend our earlier one loop analysis to two loops and give a simple diagrammatic description for the retarded Greens functions at finite temperature, in terms of forward scattering amplitudes of on-shell thermal particles.…

High Energy Physics - Theory · Physics 2016-08-25 F. T. Brandt , Ashok Das , J. Frenkel

Finite temperature corrections to the effective potential and the energy-momentum tensor of a scalar field are computed in a perturbed Minkoswki space-time. We consider the explicit mode decomposition of the field in the perturbed geometry…

High Energy Physics - Theory · Physics 2018-06-27 Franco D. Albareti , Antonio L. Maroto , Francisco Prada

The branch points of individual thermal self-energy diagrams at $k^{2}=4m^{2}, k^{2}=9m^{2},...$ are shown not to be branch points of the full thermal self-energy. Branch points of the full theory are determined by the complex,…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Arthur Weldon

We have previously studied properties of a one-dimensional potential with $N$ equally spaced identical barriers in a (fixed) finite interval for both finite and infinite $N$. It was observed that scattering and spectral properties depend…

Quantum Physics · Physics 2009-11-07 D. Bar , L. P. Horwitz

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 consider a finite, closed and selfbound many--body system in which a collective degree of freedom is excited. The redistribution of energy and momentum into a finite number of the non-collective degrees of freedom is referred to as…

Chaotic Dynamics · Physics 2016-01-11 Johannes Freese , Boris Gutkin , Thomas Guhr

In effective field theory physical quantities, in particular observables, are expressed as a power series in terms of a small expansion parameter. For non-perturbative systems, for instance nuclear physics, this requires the…

Nuclear Theory · Physics 2025-12-11 Manuel Pavon Valderrama

We explore the physics of electron acceleration in a plasma medium in an effective field theory framework. Employing a multiple Compton scattering mechanism, it is found that the acceleration can be sustained in such a medium so as to…

Plasma Physics · Physics 2013-03-07 Ravindra Kumar , V. Ravishankar

A grand challenge in fundamental physics and practical applications is overcoming wave diffusion to deposit energy into a target region deep inside a diffusive system. While it is known that coherently controlling the incident wavefront…

Self-energy-functional theory is a formal framework which allows to derive non-perturbative and thermodynamically consistent approximations for lattice models of strongly correlated electrons from a general dynamical variational principle.…

Strongly Correlated Electrons · Physics 2011-12-08 Michael Potthoff
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