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Related papers: Renormalized Electron Mass in Nonrelativistic QED

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In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass in its response to an external potential force. Specifically,…

Mathematical Physics · Physics 2018-03-28 Volker Bach , Thomas Chen , Jeremy Faupin , Juerg Froehlich , Israel Michael Sigal

As a precursor to work on QCD, we study the dressed electron in QED nonperturbatively. The calculational scheme uses an invariant mass cutoff, discretized light-cone quantization, a Tamm--Dancoff truncation of the Fock space, and a small…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Hiller , S. J. Brodsky

In this paper the nonperturbative analysis of the spectrum for one-particle excitations of the electron-positron field (EPF) is considered in the paper. A standard form of the quantum electrodynamics (QED) is used but the charge of the…

High Energy Physics - Theory · Physics 2007-05-23 I. D. Feranchuk

This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with the quantized electromagnetic field…

Mathematical Physics · Physics 2007-05-23 Volker Bach , Thomas Chen , Juerg Froehlich , Israel Michael Sigal

In nonrelativistic QED the charge of an electron equals its bare value, whereas the self-energy and the mass have to be renormalized. In our contribution we study perturbative mass renormalization, including second order in the fine…

Mathematical Physics · Physics 2015-06-26 Fumio Hiroshima , Herbert Spohn

We study the effective parameters of QED near the decoupling temperature and show that the QED perturbation theory works perfectly fine at temperatures, below the decoupling temperature. Temperature dependent selfmass of electron, at T=m…

High Energy Physics - Phenomenology · Physics 2017-05-02 Samina S. Masood

We study the effective parameters of QED near decoupling temperatures and show that the QED perturbative series is convergent, at temperatures below the decoupling temperature. The renormalization constant of QED acquires different values…

High Energy Physics - Theory · Physics 2017-04-26 Samina S. Masood

We calculate the second order corrections to vacuum polarization tensor of photons at low temperatures, i.e; T $\le 10^{10}$ K ($T << m_e$). The thermal contributions to the QED coupling constant are evaluated at temperatures below the…

High Energy Physics - Phenomenology · Physics 2009-09-29 Samina S. Masood , Mahnaz Q. Haseeb

Effective coupling constant in quantum electrodynamics is investigated. A pole appears in the effective coupling constant for the space-like momentum if it is calculated by perturbation. The pole can be eliminated by the analytic…

High Energy Physics - Phenomenology · Physics 2007-10-09 Hirohisa Ishikawa , Keiji Watanabe

Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge $Z$ and in presence of the quantized radiation field. We consider the case of small…

Mathematical Physics · Physics 2007-05-23 Christian Hainzl , Robert Seiringer

The quantum electrodynamics formalism to treat the interelectronic-interaction correction of first order in $1/Z$ to the two-electron part of the nuclear recoil effect on binding energies in atoms and ions is developed. The nonperturbative…

Atomic Physics · Physics 2019-07-24 A. V. Malyshev , I. S. Anisimova , D. V. Mironova , V. M. Shabaev , G. Plunien

We consider dressed 1-electron states in a translation-invariant model of non-relativistic QED. To start with a well-defined model, the interaction Hamiltonian is cutoff at very large photon energies (ultraviolet cutoff) and regularized at…

Mathematical Physics · Physics 2007-05-23 Thomas Chen , Juerg Froehlich

We study the physical electron in quantum electrodynamics expanded on the light-cone Fock space in order to address two problems: (1) the physics of the electron's anomalous magnetic moment $a_e$ in nonperturbative QED, and (2) the…

High Energy Physics - Phenomenology · Physics 2009-09-11 John R. Hiller , Stanley J. Brodsky

We consider atoms or molecules coupled to the quantized electromagnetic radiation field in a dipole approximation. We show the existence of ground states and resonance states in situations where the eigenvalues are degenerate and protected…

Mathematical Physics · Physics 2025-07-08 David Hasler , Markus Lange

A non-minimal coupling $\eta$ has been attracting growing interest particularly in the context of inflation models, though its quantum nature is not clear yet. We study the renormalization of a non-minimal coupling in the scalar quantum…

High Energy Physics - Phenomenology · Physics 2021-06-09 Ayuki Kamada , Takumi Kuwahara

We study three well known models of matter coupled to the ultraviolet cutoff, quantized radiation field and to the Coulomb potential of arbitrarily many nuclei. Two are nonrelativistic: the first uses the kinetic energy (p+eA(x))^2 and the…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Michael Loss

We consider an electron which is electromagnetically dressed in such a way that it is both gauge invariant and that it has the associated electric and magnetic fields expected of a moving charge. We study the propagator of this dressed…

High Energy Physics - Theory · Physics 2009-10-28 Emili Bagan , Martin Lavelle , David McMullan

The methods of light-front quantization and Pauli-Villars regularization are applied to a nonperturbative calculation of the dressed-electron state in quantum electrodynamics. This is intended as a test of the methods in a gauge theory, as…

High Energy Physics - Phenomenology · Physics 2011-03-10 S. S. Chabysheva

We present a new estimate of the fine structure constant and the $\beta$-function of QED at an arbitrary scale. Using the non-perturbative but convergent series expression of the one loop effective action of QED that has been available…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , D. G. Pak

We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute the energy functional of product states of the form…

Analysis of PDEs · Mathematics 2022-11-03 Sébastien Breteaux , Jérémy Faupin , Jimmy Payet
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