Renormalized Coulomb-gauge self-energy function

Jerome Malenfant

doi:10.1103/PhysRevD.35.1525

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Renormalized Coulomb-gauge self-energy function

Jerome Malenfant

Physics Department, University of California at Los Angeles, Los Angeles, California 90024

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Phys. Rev. D 35, 1525 – Published 15 February, 1987

DOI: https://doi.org/10.1103/PhysRevD.35.1525

Abstract

The integral representation for the Coulomb-gauge self-energy function given by Adkins is partially integrated with the remaining integral expressed in terms of Spence functions. With this result, the renormalized self-energy kernel and its derivatives with respect to the center-of-mass energy, integrated between Barbieri-Remiddi wave functions, are evaluated to lowest order.

References (5)

G. Adkins, Phys. Rev. D 27, 1814 (1983).
Y. Tomozawa, Ann. Phys. (N.Y.) 128, 491 (1980).
R. Barbieri and E. Remiddi, Nucl. Phys. B 141, 413 (1978).
The first two of these equations are exact, but the contribution of the pole at $p_{0}$ = - ( $E_{p}$ + 1/2 $M_{0}$ - i ε ) has been neglected in the third equation. This pole gives a contribution of O( $α^{5}$ ) to ( $K_{SE}$ ${}^{R 2 sprime}$ ).
R. Buchmüller and E. Remiddi, Nucl. Phys. B 162, 250 (1980).

[c1] G. Adkins, Phys. Rev. D 27, 1814 (1983).

[c2] Y. Tomozawa, Ann. Phys. (N.Y.) 128, 491 (1980).

[c3] R. Barbieri and E. Remiddi, Nucl. Phys. B 141, 413 (1978).

[c4] The first two of these equations are exact, but the contribution of the pole at $p_{0}$ = - ( $E_{p}$ + 1/2 $M_{0}$ - i ε ) has been neglected in the third equation. This pole gives a contribution of O( $α^{5}$ ) to ( $K_{SE}$ ${}^{R 2 sprime}$ ).

[c5] R. Buchmüller and E. Remiddi, Nucl. Phys. B 162, 250 (1980).

Physical Review D

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Renormalized Coulomb-gauge self-energy function

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References (5)

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