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We illustrate the mass and charge renormalization procedures in quantum field theory using, as an example, a simple model of interacting electrons and photons. It is shown how addition of infinite renormalization counterterms to the…

高能物理 - 理论 · 物理学 2007-05-23 Eugene V. Stefanovich

The clothing procedure, put forward in quantum field theory by Greenberg and Schweber, is applied for the description of nucleon-nucleon (N-N) scattering. We consider pseudoscalar, vector and scalar meson fields interacting with 1/2 spin…

核理论 · 物理学 2015-05-19 I. Dubovyk , A. Shebeko

The method of unitary clothing transformations put forward in relativistic quantum field theory (QFT) by Greenberg and Schweber and developed by Shirokov is applied to construct a new family of interactions in the meson-two-nucleon system.…

核理论 · 物理学 2008-11-26 V. Yu. Korda , L. Canton , A. V. Shebeko

The clothing procedure, put forward in quantum field theory (QFT) by Greenberg and Schweber, is applied for the description of nucleon-nucleon (N-N) scattering. We consider pseudoscalar, vector and scalar meson fields interacting with…

核理论 · 物理学 2011-01-27 I. Dubovyk , O. Shebeko

Applying the unitary clothing transformation method in the model of charged spinless nucleons and neutral mesons interacting via the three-linear Yukawa-type coupling, the expression for the charge shift in the third order in the coupling…

核理论 · 物理学 2007-05-23 I. V. Yeletskikh

We consider a class of toy models describing a fermion field coupled with a boson field. The model can be viewed as a Yukawa model but with scalar fermions. As in our first paper, the interaction kernels are assumed bounded in the fermionic…

数学物理 · 物理学 2026-04-20 Benjamin Alvarez , Jacob Schach Møller

Renormalization group procedure for effective particles is applied to the model quantum theory of free fermions to which one adds an interaction in the form of a mass mixing term. If one used a standard approach based on the instant form of…

高能物理 - 理论 · 物理学 2015-06-15 Stanislaw D. Glazek

In this work, the dressed molecules theory is used to describe the two-dimensional quantum anomaly of breathing mode in the recent experimental system\cite{Holten2018,Peppler2018}. With the aid of a beyond mean-field, Gaussian pair…

量子气体 · 物理学 2023-05-19 Fan Wu , Jian-shen Hu , Lianyi He

We consider a class of Hamiltonians describing a fermion field coupled to a boson field. The interaction kernels are assumed bounded in the fermionic momentum variable and decaying like $|q|^{-p}$ for large boson momenta $q$. A realistic…

数学物理 · 物理学 2022-10-18 Benjamin Alvarez , Jacob Schach Møller

We present a novel representation of coupled matter-photon systems that allows the application of many-body methods developed for purely fermionic systems. We do so by rewriting the original coupled light-matter problem in a…

量子物理 · 物理学 2019-12-24 S. E. B. Nielsen , C. Schäfer , M. Ruggenthaler , A. Rubio

We discuss an alternative method to mass renormalize a quantum field Hamiltonian based on a requirement that the vacuum and single-particle sectors are not self-scattering. We illustrate the feasibility of this method for the concrete…

综合物理 · 物理学 2015-06-16 E. V. Stefanovich , R. E. Wagner , Q. Su , R. Grobe

The paper presents the representation of quantum field theory without introduction of infinity bare masses and coupling constants of fermions. Counter-terms, compensating for divergent quantities in self-energy diagrams of fermions and…

综合物理 · 物理学 2015-02-03 V. P. Neznamov

A new density matrix and corresponding quantum kinetic equations are introduced for fermions undergoing coherent evolution either in time (coherent particle production) or in space (quantum reflection). A central element in our derivation…

高能物理 - 唯象学 · 物理学 2009-02-02 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

One of the traditional ways of introducing bosons and fermions is through creation-annihilation algebras. Historically, these have been associated with emission and absorption processes at the quantum level and are characteristic of the…

量子物理 · 物理学 2026-04-15 Nicolás Medina Sánchez , Borivoje Dakić

The dual Dyson series [M.Frasca, Phys. Rev. A {\bf 58}, 3439 (1998)], is used to develop a general perturbative method for the study of atom-field interaction in quantum optics. In fact, both Dyson series and its dual, through…

量子物理 · 物理学 2009-10-31 Marco Frasca

In contrast to classical physics, quantum mechanics divides particles into two classes-bosons and fermions-whose exchange statistics dictate the dynamics of systems at a fundamental level. In two dimensions quasi-particles known as 'anyons'…

Identical quantum particles exhibit only two types of statistics: bosonic and fermionic. Theoretically, this restriction is commonly established through the symmetrization postulate or (anti)commutation constraints imposed on the algebra of…

量子物理 · 物理学 2024-09-17 Nicolás Medina Sánchez , Borivoje Dakić

Finding the eigenstates of the total Hamiltonian H or its diagonalization is the important problem of quantum physics. However, in relativistic quantum field theory (RQFT) its complete and exact solution is possible for a few simple models…

核理论 · 物理学 2016-09-08 A. V. Shebeko , M. I. Shirokov

The quantum dynamics of a subset of interacting bosons in a subspace of fixed particle number is described in terms of symmetrized many-particle states. A suitable partial trace operation over the von Neumann equation of an $N$-particle…

量子物理 · 物理学 2018-02-21 Manuel Gessner , Andreas Buchleitner

We consider a dilute homogeneous mixture of bosons and spin-polarized fermions at zero temperature. We first construct the formal scheme for carrying out systematic perturbation theory in terms of single particle Green's functions. We…

凝聚态物理 · 物理学 2009-11-07 Alexander P. Albus , Simon A. Gardiner , Fabrizio Illuminati , Martin Wilkens
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