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Within the framework of many-particle perturbation theory, we develop an analytical approach that allows us to determine the small distance behavior of Green's functions and related quantities in electronic structure theory. As a case…

Mathematical Physics · Physics 2025-03-17 Heinz-Juergen Flad , Michael Griebel

The pointwise space-time behavior of the Green's function of the three-dimensional relativistic Boltzmann equation is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive waves and…

Analysis of PDEs · Mathematics 2024-05-13 Yanchao Li , Mingying Zhong

Many geometric and analytic properties of sets hinge on the properties of harmonic measure, notoriously missing for sets of higher co-dimension. The aim of this manuscript is to develop a version of elliptic theory, associated to a linear…

Analysis of PDEs · Mathematics 2023-09-26 Guy R. David , Joseph Feneuil , Svitlana Mayboroda

Electronic structure calculations are routinely carried out within the framework of density-functional theory, often with great success. For electrons in reduced dimensions, however, there is still a need for better approximations to the…

Strongly Correlated Electrons · Physics 2009-09-22 S. Pittalis , E. Rasanen , E. K. U. Gross

A procedure to solve few-body problems is developed which is based on an expansion over a small parameter. The parameter is the ratio of potential energy to kinetic energy for states having not small hyperspherical quantum numbers, K>K_0.…

Nuclear Theory · Physics 2010-11-11 V. D. Efros

Plasmonic response of superconductors at various dimensions are addressed in this paper. All possible parameter space is discussed and considered for theoretical demonstration towards possible future experiments. The most critical…

Applied Physics · Physics 2020-08-19 Tamer Dogan

The aim of these lectures is to describe a construction, as self-contained as possible, of renormalized gauge theories. Following a suggestion of Polchinski, we base our analysis on the Wilson renormalization group method. After a…

High Energy Physics - Theory · Physics 2007-05-23 Carlo Becchi

Thermodynamic properties of a photon gas in a small box are explored taking into account finite size effects. General thermodynamic relations are derived for this finite system. Photon gas thermodynamic functions are calculated for the case…

Quantum Physics · Physics 2014-02-05 A. A. Sokolsky , M. A. Gorlach

A formula to calculate the quantum fluctuations of energy in small subsystems of a hot and relativistic gas is derived. We find an increase in fluctuations for subsystems of small sizes, but we agrees with the energy fluctuations in the…

Nuclear Theory · Physics 2021-10-08 Rajeev Singh

A theory of degenerate metrics is developed and applied to the problem of unifying gravitation with electromagnetism. The approach is similar to the Kaluza-Klein approach with a fifth dimension, however no ad hoc conditions are needed to…

High Energy Physics - Theory · Physics 2010-11-19 T. P. Searight

A 'forward walking' Green's Function Monte Carlo algorithm is used to obtain expectation values for SU(3) lattice Yang-Mills theory in (3+1) dimensions. The ground state energy and Wilson loops are calculated, and the finite-size scaling…

High Energy Physics - Lattice · Physics 2017-08-23 C. J. Hamer , M. Samaras , R. J. Bursill

We investigate the point-particle limit of the equations of motion valid for a system of extended bodies in a scalar alternative theory of gravitation: the size of one of the bodies being a small parameter xi, we calculate the limit, as xi…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

In these lectures, I shall discuss small x physics and the consequences of high gluon density which arises as x decreases. I argue that an understanding of this problem would lead to knowledge of the high energy asymptotics of hadronic…

High Energy Physics - Phenomenology · Physics 2010-12-13 Larry McLerran

Complicated physical problems usually are solved by resorting to perturbation theory leading to solutions in the form of asymptotic series in powers of small parameters. However, finite, and even large values of the parameters often are of…

Mathematical Physics · Physics 2021-06-23 V. I. Yukalov , E. P. Yukalova

The Einstein-Hilbert worldspace action is used to investigate the dynamics of extended object. In the Robertson-Walker worldspace, this is seen to introduce a pressureless density which could contribute to dark matter. Such pressureless…

Astrophysics · Physics 2007-05-23 U. Khanal

Deviations from the Friedmann-Robertson-Walker (FRW) cosmological model in the form of density inhomogeneities induce observational effects on the light propagating through these fluctuations. Using a rigorously parametrized metric whose…

Astrophysics · Physics 2007-05-23 Eric V. Linder

Within the scope of multidimensional Kaluza--Klein gravity with nonlinear curvature terms and two spherical extra spaces of dimensions $m$ and $n$, we study the properties of an effective action for the scale factors of the extra…

General Relativity and Quantum Cosmology · Physics 2020-10-20 S. V. Bolokhov , K. A. Bronnikov

Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalar-vector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The obtained results reveal that in the spin…

Quantum Physics · Physics 2019-08-29 B. C. Lütfüoğlu

In the context of Large Extra Dimensions the fundamental Planck scale can be as low as the TeV scale. If this is the way of nature, quantum gravity effects could be visible at the LHC or other High energy colliders. A model independent…

High Energy Physics - Phenomenology · Physics 2011-03-30 Paolo Lodone

We apply a `dimensional reduction' mechanism to the evaluation of the functional integral for the vacuum energy of a real scalar field in the presence of non-trivial backgrounds, in d+1 dimensions. The reduction is implemented by applying a…

High Energy Physics - Theory · Physics 2017-08-30 Cesar D. Fosco , Francisco D. Mazzitelli
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