The eigenvalues of the charge operator

It is shown without using perturbation theory that, if charge renormalization is defined in the usual way, the charge operator has the eigenvalue e ( n_-n + ) for a state corresponding to n _ incoming electrons, n + incoming positrons, and an arbitrary number of incoming photons. It is also shown that, in the special case of one incoming electron and no other incoming particles, this leads to the statement that the radiative corrections to the Rutherford formula for the scattering in a weak external field vanish in the non-relativistic limit.

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Constructing Carrollian CFTs

Journal of High Energy Physics ◽

10.1007/jhep03(2021)194 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Nishant Gupta ◽

Nemani V. Suryanarayana

Keyword(s):

Scalar Fields ◽

Higher Dimensions ◽

Field Theories ◽

Conformal Field Theories ◽

Relativistic Limit ◽

Conformal Field ◽

Local Symmetries ◽

Derivatives Of ◽

Special Case

Abstract We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear. A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided. We show that only a special case of our theories arises in the ultra-relativistic limit of a covariant parent theory.

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Photoproduction of Gravitational Radiation in Static Electromagnetic Fields. Radiative Corrections

Canadian Journal of Physics ◽

10.1139/p75-279 ◽

1975 ◽

Vol 53 (20) ◽

pp. 2315-2320 ◽

Cited By ~ 3

Author(s):

G. Papini ◽

S. -R. Valluri

Keyword(s):

Cross Section ◽

Gravitational Radiation ◽

Low Energy ◽

Radiative Corrections ◽

Third Order ◽

The Third ◽

Relativistic Approximation ◽

Effective Lagrangian ◽

Charge Renormalization ◽

Made In

The radiative corrections of second and third order for the process of photoproduction of gravitons in Coulomb and magnetic dipole fields have been calculated.All divergences have been removed either by charge renormalization or regularization. No approximations have been made in the calculation of the second order cross section. In the third order calculation only the extreme relativistic approximation is given. The forms of the effective Lagrangian, corresponding to the low energy approximations have been determined.

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Algebraic perturbation theory for dipolar fluid mixtures in a weak external field: Application for isomerization equilibria

The Journal of Chemical Physics ◽

10.1063/1.1430254 ◽

2002 ◽

Vol 116 (5) ◽

pp. 2067-2074 ◽

Cited By ~ 4

Author(s):

Gergely Kronome ◽

István Szalai ◽

János Liszi

Keyword(s):

Perturbation Theory ◽

External Field ◽

Field Application ◽

Fluid Mixtures ◽

Dipolar Fluid

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Radiative corrections for many electron atoms in perturbation theory

Annals of Physics ◽

10.1016/0003-4916(88)90273-4 ◽

1988 ◽

Vol 184 (1) ◽

pp. 216

Keyword(s):

Perturbation Theory ◽

Radiative Corrections

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Feshbach–Villars equation in a κ-Minkowski spacetime

Modern Physics Letters A ◽

10.1142/s0217732320503071 ◽

2020 ◽

Vol 35 (37) ◽

pp. 2050307

Author(s):

B. Hamil ◽

M. Merad

Keyword(s):

Experimental Data ◽

Perturbation Theory ◽

Deformation Parameter ◽

Order Approximation ◽

Minkowski Spacetime ◽

Magnetic Interaction ◽

Relativistic Limit ◽

First Order ◽

Klein Gordon ◽

First Order Approximation

In this paper, by using the Dirac derivatives the Klein–Gordon (K-G) equation is determined in a [Formula: see text]-Minkowski spacetime. The dispersion relation and the first-order approximation case are deduced. The Feshbach–Villars (FV) equation is derived by applying the new linearization process to the time. We then study the effect of magnetic interaction on energies spectrum in a [Formula: see text]-Minkowski spacetime as an application, as a result we found that the energies spectrum are not symmetrical. We also study the case of hydrogen atom in non-relativistic limit by using perturbation theory. The upper bound of the [Formula: see text]-deformation parameter is evaluate, on the basis of the experimental data for [Formula: see text] transition frequency.

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QED RADIATIVE CORRECTIONS TO THE DECAY π0→e+e−

Modern Physics Letters A ◽

10.1142/s0217732393001434 ◽

1993 ◽

Vol 08 (18) ◽

pp. 1691-1700 ◽

Cited By ~ 3

Author(s):

GEORGE TRIANTAPHYLLOU

Keyword(s):

Perturbation Theory ◽

Decay Rate ◽

Invariant Mass ◽

New Physics ◽

Radiative Corrections ◽

First Order ◽

Recent Interest ◽

Electron Positron ◽

Electron Positron Pair ◽

First Order Perturbation

In view of the recent interest in the decays of mesons into a pair of light leptons, a computation of the QED radiative corrections to the decay of π0 into an electron-positron pair is presented here. The analysis is based on the soft-photon resummation method, which, unlike first-order perturbation theory, allows for very strict invariant-mass cuts on the final electrons. When combined with the theoretical estimates for the non-radiatively corrected decay rate, the results of the present paper could help to determine if new physics affect this decay.

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