Equivalence Between Self-energy and Self-mass in Classical Electron Model

2019 ◽  
Vol 49 (7) ◽  
pp. 750-782
Author(s):  
M. Kh. Khokonov ◽  
J. U. Andersen
Keyword(s):  
Electron Model ◽  
Classical Electron ◽  
Self Energy

scholarly journals VIOLATION OF LUTTINGER'S THEOREM IN STRONGLY CORRELATED ELECTRONIC SYSTEMS WITHIN A 1/N EXPANSION

1999 ◽  
Vol 13 (20) ◽  
pp. 2607-2627 ◽  
Author(s):  
EMMANUELE CAPPELLUTI ◽  
ROLAND ZEYHER
Keyword(s):  
Degrees Of Freedom ◽  
Electronic Systems ◽  
Strongly Correlated ◽  
Leading Order ◽  
Strongly Correlated Electron ◽  
Electron Model ◽  
Self Energy ◽  
Correlated Electron ◽  
Strongly Correlated Electronic Systems ◽  
Stable Particles

We study the 1/N expansion of a generic, strongly correlated electron model ( SU (N) symmetric Hubbard model with U=∞ and N degrees of freedom per lattice site) in terms of X operators. The leading order of the expansion describes a usual Fermi liquid with renormalized, stable particles. The next-to-leading order violates Luttinger's theorem if a finite convergence radius for the 1/N expansion for a fixed and non-vanishing doping away from half-filling is assumed. We find that the volume enclosed by the Fermi surface, is at large, but finite N's and small dopings larger than at N=∞. As a by-product an explicit expression for the electronic self-energy in O(1/N) is given which cannot be obtained by factorization or mode-coupling assumptions but contains rather sophisticated vertex corrections.

scholarly journals Revisiting the classical electron model in general relativity

2010 ◽  
Vol 331 (1) ◽  
pp. 191-197 ◽  
Author(s):  
Farook Rahaman ◽  
Mubasher Jamil ◽  
Kaushik Chakraborty
Keyword(s):  
General Relativity ◽  
Electron Model ◽  
Classical Electron

Schwarzschild sphere and classical electron self-energy problem

1978 ◽  
Vol 45 (1) ◽  
pp. 59-77 ◽  
Author(s):  
A. V. Vilenkin ◽  
P. I. Fomin
Keyword(s):  
Energy Problem ◽  
Classical Electron ◽  
Self Energy

scholarly journals CLASSICAL ELECTRON MODEL WITH NEGATIVE ENERGY DENSITY IN EINSTEIN–CARTAN THEORY OF GRAVITATION

2004 ◽  
Vol 13 (03) ◽  
pp. 555-565 ◽  
Author(s):  
SAIBAL RAY ◽  
SUMANA BHADRA
Keyword(s):  
Energy Density ◽  
Negative Energy ◽  
Experimental Result ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Electron Model ◽  
Classical Electron ◽  
Negative Energy Density ◽  
Theory Of Gravitation ◽  
Cartan Theory

Experimental result regarding the maximum limit of the radius of the electron (~10-16 cm ) and a few of the theoretical works suggest that there might be some negative energy density regions within the particle in the general theory of relativity. It is argued in the present investigation that such a negative energy density also can be obtained with a better physical interpretation in the framework of Einstein–Cartan theory.

An electron model with elementary charge

2010 ◽  
Vol 76 (3-4) ◽  
pp. 419-428 ◽  
Author(s):  
B. LEHNERT ◽  
L. J. HÖÖK
Keyword(s):  
Point Charge ◽  
Iteration Scheme ◽  
Energy Problem ◽  
Spin Magnetic Moment ◽  
Electron Model ◽  
Self Energy ◽  
Characteristic Radius ◽  
Numerical Iteration ◽  
Elementary Charge ◽  
Electrodynamic Theory

AbstractAn earlier elaborated model of the electron, being based on a revised quantum electrodynamic theory, is further investigated in terms of an improved numerical iteration scheme. This point-charge-like model is based on the “infinity” of a divergent generating function being balanced by the “zero” of a shrinking characteristic radius. This eliminates the self-energy problem. According to the computations, the quantum conditions on spin, magnetic moment, and magnetic flux, plus the requirement of an elementary charge having the experimental value, can all be satisfied within rather narrow limits by a single scalar parameter. The revised model prevents the electron from “exploding” due to its eigencharge.

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