## Abstract

The logarithmic part of the Lamb shift, the contribution of the relative order {alpha}{sup 3}log(1/{alpha}) to the atomic state energy, is related to the usual infrared divergence. For positronium, the calculated logarithmic correction does not vanish only in n{sup 3}S{sub 1} states and constitutes 5/24m{alpha}{sup 6}log(1/{alpha})/m{sup 3}. Logarithmic corrections of the relative order {alpha}{sup 2}log(1/{alpha}) to the positronium decay rate are also of the relativistic origin and can be easily computed within the same approach. 31 refs.; 11 figs.

## Citation Formats

Khriplovich, I B, Mil`shtejn, A I, and Elkhovskij, A S.
Logarithmic corrections of the two-body QED problem.
Russian Federation: N. p.,
1992.
Web.

Khriplovich, I B, Mil`shtejn, A I, & Elkhovskij, A S.
Logarithmic corrections of the two-body QED problem.
Russian Federation.

Khriplovich, I B, Mil`shtejn, A I, and Elkhovskij, A S.
1992.
"Logarithmic corrections of the two-body QED problem."
Russian Federation.

@misc{etde_10113757,

title = {Logarithmic corrections of the two-body QED problem}

author = {Khriplovich, I B, Mil`shtejn, A I, and Elkhovskij, A S}

abstractNote = {The logarithmic part of the Lamb shift, the contribution of the relative order {alpha}{sup 3}log(1/{alpha}) to the atomic state energy, is related to the usual infrared divergence. For positronium, the calculated logarithmic correction does not vanish only in n{sup 3}S{sub 1} states and constitutes 5/24m{alpha}{sup 6}log(1/{alpha})/m{sup 3}. Logarithmic corrections of the relative order {alpha}{sup 2}log(1/{alpha}) to the positronium decay rate are also of the relativistic origin and can be easily computed within the same approach. 31 refs.; 11 figs.}

place = {Russian Federation}

year = {1992}

month = {Dec}

}

title = {Logarithmic corrections of the two-body QED problem}

author = {Khriplovich, I B, Mil`shtejn, A I, and Elkhovskij, A S}

abstractNote = {The logarithmic part of the Lamb shift, the contribution of the relative order {alpha}{sup 3}log(1/{alpha}) to the atomic state energy, is related to the usual infrared divergence. For positronium, the calculated logarithmic correction does not vanish only in n{sup 3}S{sub 1} states and constitutes 5/24m{alpha}{sup 6}log(1/{alpha})/m{sup 3}. Logarithmic corrections of the relative order {alpha}{sup 2}log(1/{alpha}) to the positronium decay rate are also of the relativistic origin and can be easily computed within the same approach. 31 refs.; 11 figs.}

place = {Russian Federation}

year = {1992}

month = {Dec}

}