Finite Quantum Electrodynamics Research Articles

Relativistic configuration interaction calculations on Kα X-ray satellites of magnesium ions

In this work, the multi-configuration Dirac-Fock (MCDF) and relativistic configuration interaction (RCI) methods have been used to calculate the transition wavelengths, electric dipole transition probabilities, line strengths and absorption oscillator strengths for the Kα X-ray from Mg III to Mg XI. We also take the contributions from the Breit interaction, finite nuclear mass corrections and quantum electrodynamics corrections to the initial and final levels, into account. The present values for Mg X and Mg XI were in good agreement with the previous experimental and theoretical results. The new data in this work provide reference values for the level lifetimes, charge state distributions, and average charge of magnesium plasmas.

Relativistic configuration interaction calculations on Kα x-ray satellites of sodium ions

In this paper, the multi-configuration Dirac–Fock and relativistic configuration interaction methods have been used to calculate the transition wavelengths, electric-dipole transition probabilities, line strengths and absorption oscillator strengths for Kα x-rays from Na II to Na X. We have also taken into account the contributions from the Breit interaction, finite nuclear mass corrections and quantum electrodynamics corrections to the initial and the final level. The present values for Na IX and Na X are in good agreement with previous theoretical and experimental results, and the new data for Na II to Na VIII were ascertained to be reliable by comparing the velocity rate to the length rate. These data provide reference values for the level lifetimes, charge state distributions and average charge of sodium plasmas.

Relativistic configuration interaction calculations on Kα x-ray satellites of krypton

The multi-configuration Dirac–Fock (MCDF) and relativistic configuration interaction (RCI) methods have been used for computing the transition wavelengths, electric dipole transition probabilities, line strengths and absorption oscillator strengths for the Kα x-rays from Kr XXVII to Kr XXXV. The contributions from Breit interaction, finite nuclear mass corrections and quantum electrodynamics corrections to the initial and final levels have been taken into account. The calculated values showed good agreement between these results and recent theoretical and experimental results. These data provide reference values for the level lifetimes, charge state distribution and average charge of krypton plasmas.

No Eigenvalue in Finite Quantum Electrodynamics

We re-examine Quantum Electrodynamics (QED) with massless electron as a finite quantum field theory as advocated by Gell-Mann–Low, Baker–Johnson, Adler, Jackiw and others. We analyze the Dyson–Schwinger equation satisfied by the massless electron in finite QED and conclude that the theory admits no nontrivial eigenvalue for the fine structure constant.

Finite quantum electrodynamics with a gravitationally smeared propagator

On the basis of qualitative considerations of quantum fluctuations in the space-time geometry, a modification of the Feynman propagator is proposed involving a smearing of the propagator over a space-time region of an extent of about a Planck length, or $\ensuremath{\simeq}{10}^{\ensuremath{-}33}\mathrm{cm},$ surrounding the light cone. The smeared propagator is a weighted average of modified Bessel functions both in coordinate space and in momentum space. In coordinate space, the smeared propagator has a milder singularity on the light cone than the Feynman propagator, and in momentum space it provides an effective cutoff at the Planck mass. Radiative corrections in QED can be easily calculated with this propagator, and the results are finite. The renormalizations of the electron charge and mass are of the order of a few percent.

Possible "Level Crossing" between Electron and Muon Effective Masses at Very High Temperature

We calculate the effective mass of a fermion explicitly in finite temperature quantum electrodynamics at one loop order. High temperature and low temperature approximations coincide rather well in T∼m region. We apply our results to electron and muon effective masses and find that m eT is larger than m μT in the region T≥0.7 m μ . Gauge dependence of the effective mass is also discussed

Finite Quantum Electrodynamics. Von G. Scharf, 224 Seiten, Springer-Verlag Berlin 1989, gebunden, DM 68,–

Physik in unserer ZeitVolume 22, Issue 2 p. 91-91 Bücher Finite Quantum Electrodynamics. Von G. Scharf, 224 Seiten, Springer-Verlag Berlin 1989, gebunden, DM 68,– Th. Schiicker, Th. Schiicker HeidelbergSearch for more papers by this author Th. Schiicker, Th. Schiicker HeidelbergSearch for more papers by this author First published: 1991 https://doi.org/10.1002/piuz.19910220213AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Volume22, Issue21991Pages 91-91 RelatedInformation

Chiral-symmetry breaking in finite quantum electrodynamics.

Chiral-symmetry breaking in finite quantum electrodynamics.

Quantized space-time and consequences

We present a concrete quantized space-time at small distances. After transition to the large scale of nonquantized space-time, this method gives rise to a changed momentum operator which in turn leads to new infinite order differential equations describing extended (nonlocal) fields. The Green's functions of these equations are finite in the Euclidean momentum space, which provides for the construction of the theory of interacting fields free from ultraviolet divergences. In our scheme, interaction laws (e.g., the Coulomb, Yukawa potentials) between two particles are changed and have an attractive nature at small distances. As an example of this, finite quantum electrodynamics is constructed within the framework of quantized space-time. Restrictions on the parameterl of the theory are obtained:l < 10−16 cm. Our scheme contains some interesting possibilities: description of quarks, gluons and tachyon-type objects, and indication of a way to a solution of the problem of quantization of particle mass and of quark confinement. Moreover, within the model one can obtain the scalesEEW∼ 118.1 GeV andEEW∼5353 GeV of the unification of electromagnetic and weak, and weak and nuclear processes, respectively. The last possibility is very interesting for the experimental verification of the theory.

Measuring the dimension of space time.

Operationalistic definition of the dimension of space-time leads to the possibility of its experimental determination. Several reasons may be given for the fractional dimension of space-time to be slightly smaller than four, yielding a finite quantum electrodynamics. Comparison between the best experimental values for the electron $g\ensuremath{-}2$ factor and theoretical prediction gives the value 4- (5.3\ifmmode\pm\else\textpm\fi{}2.5)\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}7}$ for the dimension of space-time.

Modification of the "Coulomb" interaction at small distances in finite quantum electrodynamics

We investigate the ''Coulomb'' interaction in finite QED at small distances. By finite QED it is meant that we sum all photon self-energy subgraphs in renormalized QED and fix ..cap alpha.., the renormalized fine-structure constant, as the (infinite order) zero of the Callan-Symanzik function: ..beta..(..cap alpha..) = 0/sup infinity/. We show that for mcVertical Barx-x 'Vertical Bar/h<<1, the Coulomb interaction between two heavy point test bodies, with renormalized charges e/sub 1/ and e/sub 2/ at x and x ', respectively, is given by V(Vertical Barx-x'Vertical Bar)approx. =(e/sub 1/e/sub 2// 4..pi..Vertical Barx-x'Vertical Bar) (q/sub 1/(..cap alpha..)-q/sub 2/(..cap alpha..)mcVertical Barx-x'Vertical Bar / h+O(m/sup 2/c/sup 2/Vertical Barx-x'Vertical Bar/sup 2//h/sup 2/)), where 1

On the nambu-goldstone problem in quantum electrodynamics

We investigate the theory of finite quantum electrodynamics with, vanishing bare mass for the electron. Either the γ6 gauge symmetry is spontaneously broken with the consequent appearance of the Nambu-Goldstone boson or the axial-vector-current conservation breaks down, in which case the Goldstone theorem does not apply. We examine the Dyson-Schwinger integral equations with thefull andexact Bethe-Salpeter kernel in the case of the Goldstone mode and show that for the theory to be consistent it is necessary that the anomalous dimension x(α) of the gauge-invariant axial vector current vanishes. We present a simple argument which leads one to conclude that this condition is so stringent that the Goldstone realization of the γ5 gauge symmetry may altogether be ruled out. We offer a further argument which suggests that the condition x(α) = 0 extends to the case of the anomalous nonconservation of the axial vector current.

Spontaneous symmetry breakdown with mass splitting

We reexamine the problem of muon-electron mass splitting in finite quantum electrodynamics caused by dynamical breakdown of "isospin" symmetry. Our conclusion reinforces the assertion of Arnowitt and Deser that the mass splitting can indeed arise dynamically without the need for elementary scalar fields.

On the possibility of dynamical mass generation in finite quantum electrodynamics

On the possibility of dynamical mass generation in finite quantum electrodynamics

Electron self-energy, vacuum polarization, and vertex correction

In the framework of the finite quantum electrodynamics developed in the previous paper, electron self-energy, vacuum polarization, and vertex correction are calculated. It has turned out that the electron-neutrino mass difference can be reproduced in a model where this mass difference is of pure electromagnetic origin. A positive sign of proton-neutron mass difference is obtained within our present theory. Furthermore, it is shown that our theory can give a clue to overcome the possible crisis of QED arising from the recent report of the discrepancy between theoretical and experimental values for the muon anomalous magnetic moment as an evidence for a possible breakdown of QED.

Fundamental length, bubble electrons and nonlocal quantum electrodynamics

Based on the concept of a bubble electron and the approach of Pais and Uhlenbeck, we construct a finite quantum electrodynamics which is relativistically invariant, macrocausal and unitary. In this model, fields and their interaction are local, but the action function of free fields is nonlocal. The propagators are modified so that a fundamental lengthL is naturally introduced to physics. The modified static potential is given byV(r)=e/r forr>L andV(r)=0 forr<L, which is produced by the bubble sourcer−1dδ(r−L)/dr rather than by a point source. We find thatL<4·10−15 cm. Experimental consequences and modifications of strict causality at short distances |s2|∼L2 are discussed.

Dynamical basis for the Poincaré stresses

We explore the possibility that the Poincaré stresses needed to stabilize a completely electrodynamical electron arise through a phase transition in the vacuum. By extending our previous work on dynamical symmetry breaking in finite quantum electrodynamics we are able to look for extended structures to see whether a composite electron could be stabilized by critically polarizing its own negative energy sea.

Inapplicability of Weinberg's power-counting theorem in finite quantum electrodynamics: Difficulties with the Adler-Baker-Johnson program

Inapplicability of Weinberg's power-counting theorem in finite quantum electrodynamics: Difficulties with the Adler-Baker-Johnson program

Violation of unitarity in a finite quantum electrodynamics

By explicit calculations, we show the violation of unitarity in a recently proposed theory of finite quantum electrodynamics on the basis of a limiting procedure. The failure can be traced back to the mathematical nonexistence of the limit upon which the theory is built.

Yang-Mills gauge theories and Baker-Johnson quantum electrodynamics

We show that the physical mass of a fermion in a symmetric asymptotically free non-Abelian vector gauge theory is dynamical in origin. We comment on the close analogy that exists between such a theory and the Baker--Johnson finite quantum electrodynamics. Comments are also made when there is spontaneous symmetry breaking. (AIP)