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This paper discusses relativistic corrections to the thermal Coulomb potential for simple atomic systems. The theoretical description of the revealed thermal corrections is carried out within the framework of relativistic quantum…

Atomic Physics · Physics 2021-05-19 D. Solovyev , T. Zalialiutdinov , A. Anikin

Within the framework of QED theory at finite temperature the thermal radiative corrections to spontaneous one-photon transition rates in hydrogen atom are investigated. The radiative one-loop self-energy corrections are described in the…

Atomic Physics · Physics 2020-05-13 T. Zalialiutdinov , D. Solovyev , L. Labzowsky

For the kinetic energy of 1d model finite systems the leading corrections to local approximations as a functional of the potential are derived using semiclassical methods. The corrections are simple, non-local functionals of the potential.…

Other Condensed Matter · Physics 2010-06-25 Attila Cangi , Donghyung Lee , Peter Elliott , Kieron Burke

We present a variational approach for directed polymers in $D$ transversal dimensions which is used to compute the corrections to the mean field theory predictions with broken replica symmetry. The trial function is taken to be a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giorgio Parisi , Frantisek Slanina

We derive an explicit analytic expression for the first quantum correction to the second virial coefficient of a $d$-dimensional fluid whose particles interact via the generalized Lennard-Jones $(2n,n)$ potential. By introducing an…

Statistical Mechanics · Physics 2025-12-12 Daniel Parejo , Andrés Santos

In this paper we investigate higher-order corrections to the energies of bound states in hydrogen subjected to the external blackbody radiation field. In particular, within the framework of thermal quantum electrodynamics and $S$-matrix…

Atomic Physics · Physics 2023-10-10 T. Zalialiutdinov , D. Solovyev

We reconsider the problem of the static thermal roughening of an elastic manifold at the critical dimension $d=2$ in a periodic potential, using a perturbative Functional Renormalization Group approach. Our aim is to describe the effective…

Condensed Matter · Physics 2009-10-31 Anusha Hazareesing , Jean-Philippe Bouchaud

A significant fraction of the changes in momentum distributions induced by dissipative phenomena in the description of the fluid fireball created in ultrarelativistic heavy-ion collisions actually take place when the fluid turns into…

Nuclear Theory · Physics 2014-07-22 Christian Lang , Nicolas Borghini

We have calculated the 1/M^4 (M the vector boson mass) order correction to the neutrino self-energy in a medium. The possible application of this higher order contribution to the neutrino effective potential is considered in the context of…

High Energy Physics - Phenomenology · Physics 2009-11-13 Alberto Bravo Garcia , Sarira Sahu

An often used rule that the thermal correction to the self-energy is the thermal phase-space times the forward scattering amplitude from target particles is shown to be the leading term in an exact multiple scattering expansion. Starting…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sangyong Jeon , Paul J. Ellis

We develop a new variational scheme to approximate the position dependent spatial probability distribution of a zero dimensional manifold in a random medium. This celebrated 'toy-model' is associated via a mapping with directed polymers in…

Condensed Matter · Physics 2009-10-22 Yadin Y. Goldschmidt

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

We compute the $\mathcal{O}(k^2)$ terms (power corrections) of the photon polarization tensor in a hot and dense medium of particles with a small but finite mass, i.e., $0< m\ll T, \mu$. We perform our calculations within the hard thermal…

High Energy Physics - Phenomenology · Physics 2024-01-25 Osvaldo Ferreira , Eduardo S. Fraga

Within a fully relativistic framework, the one-loop self-energy correction for a bound electron is derived and extended to incorporate the effects of external thermal radiation. In a series of previous works, it was shown that in quantum…

Atomic Physics · Physics 2026-03-17 M. A. Reiter , D. A. Solovyev , A. A. Bobylev , D. A. Glazov , T. A. Zalialiutdinov

In higher dimensional field theories with compactified dimensions there are three standard ways to do perturbative calculations: i) by the summation over Kaluza-Klein towers; ii) by the summation over winding numbers making use of the…

High Energy Physics - Theory · Physics 2007-05-23 Martin Puchwein , Zoltan Kunszt

A practical correction formula relating the self-diffusion coefficient of dense liquids from molecular dynamics simulations with periodic boundary conditions to the self-diffusion coefficient in the thermodynamic limit is discussed. This…

Statistical Mechanics · Physics 2024-02-15 Sergey Khrapak

The first quantum correction to the finite temperature partition function for a self-interacting massless scalar field on a $D-$dimensional flat manifold with $p$ non-commutative extra dimensions is evaluated by means of dimensional…

High Energy Physics - Theory · Physics 2009-11-07 A. A. Bytsenko , E. Elizalde , S. Zerbini

Second order perturbative corrections to electron wavefunction are calculated here at generalized temperature, for the first time. This calculation is important to prove the renormalizeability of QED through order by order cancellation of…

High Energy Physics - Phenomenology · Physics 2015-05-28 Mahnaz Q. Haseeb , Samina S. Masood

A nonperturbative correction to the thermal nucleation rate of critical bubbles in a first order phase transition is estimated. The correction originates from large-amplitude fluctuations which may be present before the transition occurs.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marcelo Gleiser , Andrew F. Heckler

We extend Allard's celebrated rectifiability theorem to the setting of varifolds with locally bounded first variation with respect to an anisotropic integrand. In particular, we identify a sufficient and necessary condition on the integrand…

Analysis of PDEs · Mathematics 2016-11-15 Guido De Philippis , Antonio De Rosa , Francesco Ghiraldin
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