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The paper summarizes elements of theories and computational methods that we have constructed and applied over the years for the nonperturbative solution of many electron problems, in the absence or presence of strong external fields,…

Atomic Physics · Physics 2016-03-14 Cleanthes A. Nicolaides

We study the renormalized Nelson model for a scalar matter particle in a continuous confining potential interacting with a possibly massless quantized radiation field. When the radiation field is massless we impose a mild infrared…

Mathematical Physics · Physics 2025-01-22 Fumio Hiroshima , Oliver Matte

This is a study of induced nonlinear realizations of a Lie group G in which the presence of one field induces nonlinear transformations on another field. The covariant derivative structure is similar in form to that for local gauge theory.…

High Energy Physics - Theory · Physics 2010-12-07 Bill Dalton

The Embedded-Atom Model (EAM) provides a phenomenological description of atomic arrangements in metallic systems. It consists of a configurational energy depending on atomic positions and featuring the interplay of two-body atomic…

Mathematical Physics · Physics 2021-09-01 Laurent Bétermin , Manuel Friedrich , Ulisse Stefanelli

Lecture notes for the Brazilian School on Statistical Mechanics, Natal, Brazil, July 2011. The five lectures introduce to the description of entanglement in many-particle systems and review the ground-state entanglement features of standard…

Statistical Mechanics · Physics 2015-05-30 Ingo Peschel

In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge $Ze$, $Z > 0$, fixed at the origin and an electron of mass $m$ and charge $e$. This system forms…

Mathematical Physics · Physics 2007-05-23 Christian Hainzl , Masao Hirokawa , Herbert Spohn

The energy spectrum of leptons, produced by the decay of one or both W's in the reaction $e^+e^- \to W^+W^-$, is a significant probe of the helicity structure of this process. We calculate the energy spectrum $d \sigma /d E$ of a single…

High Energy Physics - Phenomenology · Physics 2009-10-30 Anja Werthenbach , L. M. Sehgal

The problem of a calculation of parameters of the Standard Model is considered in the framework of the compensation approach. Conditions for a spontaneous generation of effective interactions of fundamental fields are shown to lead to sets…

High Energy Physics - Phenomenology · Physics 2014-09-23 Boris A. Arbuzov , Ivan V. Zaitsev

In order to get a more realistic description of the hadron spectrum we extend a constituent-quark model by explicit mesonic degrees of freedom. The resulting system of constituent (anti)quarks, which are subject to an instantaneous…

High Energy Physics - Phenomenology · Physics 2011-09-02 R. Kleinhappel , W. Schweiger

Spin-resolved and temperature-dependent appearance-potential spectra of ferromagnetic Nickel are measured and analyzed theoretically. The Lander self-convolution model which relates the line shape to the unoccupied part of the local density…

Strongly Correlated Electrons · Physics 2009-11-07 M. Potthoff , T. Wegner , W. Nolting , T. Schlathölter , M. Vonbank , K. Ertl , J. Braun , M. Donath

We develop an interpolating self-energy approach to the correlated Kondo-lattice model. The correlation of the band electrons is taken into account by a Hubbard interaction. The method is based on a self-energy ansatz, the structure of…

Strongly Correlated Electrons · Physics 2009-11-07 W. Nolting , G. G. Reddy , A. Ramakanth , D. Meyer , J. Kienert

Within the framework of a one-dimensional model of interacting electrons, the ground state of an electron liquid is studied. Using the exact solution of the model, the ground state phase diagram and zero-energy Majorana edge functions in a…

Strongly Correlated Electrons · Physics 2025-05-13 Igor N. Karnaukhov , E. E. Krasovskii

We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed recently by C. Hainzl. We fix an arbitrary cut-off parameter Lambda and recover the alpha^2-term of the self-energy,…

Mathematical Physics · Physics 2007-05-23 I. Catto , Ch. Hainzl

We discuss the necessity of a right-handed Weyl neutrino due to the vector-like phenomenon of the regularized Standard Model. It is shown that this right-handed neutrino is decoupled from low energies as a free particle, and Dirac neutrino…

High Energy Physics - Phenomenology · Physics 2007-05-23 She-Sheng Xue

For the structure of the thin electrical double layer~(EDL) and the property related to the EDL capacitance, we analyze boundary layer solutions (corresponding to the electrostatic potential) of a non-local elliptic equation which is a…

Analysis of PDEs · Mathematics 2018-07-31 Chiun-Chang Lee

This paper explores a system of interacting `soft core' bosons in the Gross-Pitaevskii mean-field approximation in a random Bernoulli potential. First, a condition for delocalization of the ground state wave function is proved which depends…

Mathematical Physics · Physics 2015-06-12 Michael Bishop , Jan Wehr

Quantum entanglement is analyzed thoroughly in the case of the ground and lowest states of two-electron axially symmetric quantum dots under a perpendicular magnetic field. The individual-particle and the center-of-mass representations are…

Quantum Physics · Physics 2015-12-01 N. S. Simonovic , R. G. Nazmitdinov

We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The…

High Energy Physics - Phenomenology · Physics 2023-02-08 Gui-Jun Ding , Xiang-Gan Liu , Chang-Yuan Yao

A two-level atom coupled to the quantized radiation field is studied. In the physical relevant situation, the coupling function modeling the interaction between the two component behaves like $|k|^{-1/2}$, as the photon momentum tends to…

Mathematical Physics · Physics 2019-12-09 Jana Reker

We propose a predictively radiative neutrino mass model with gauged $U(1)_{B-2L_{\ell_2}-L_{\ell_1}}$ symmetry in which we successfully realize two-zero textures of neutrino mass matrix depending on charge assignment for leptons and the…

High Energy Physics - Phenomenology · Physics 2018-06-27 Takaaki Nomura , Hiroshi Okada