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Gauge invariance and binding-energy regularization of bound-state infrared divergences

Gauge invariance and binding-energy regularization of bound-state infrared divergences We discuss the discrepancy between the Cung et al . Phys. Lett. B 68 , 474 (1977) calculation of the three-photon-annihilation contribution to the positronium ground-state energy, performed using the binding energy to regulate the infrared divergences, and the recent calculation of Adkins, Bui, and Zhu Phys. Rev. A 37 , 4071 (1988), which used a photon mass to regulate these divergences. By using a simpler version of the binding-energy approach advocated by these authors, we confirm the value of the discrepancy they obtained. Furthermore, it is shown that the additional term needed in the binding-energy approach to produce agreement between the two methods is precisely the one required to make the binding-energy regularized amplitudes gauge invariant to all orders in the binding. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Gauge invariance and binding-energy regularization of bound-state infrared divergences

Physical Review A , Volume 42 (9) – Nov 1, 1990
2 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1990 The American Physical Society
ISSN
1094-1622
DOI
10.1103/PhysRevA.42.5730
Publisher site
See Article on Publisher Site

Abstract

We discuss the discrepancy between the Cung et al . Phys. Lett. B 68 , 474 (1977) calculation of the three-photon-annihilation contribution to the positronium ground-state energy, performed using the binding energy to regulate the infrared divergences, and the recent calculation of Adkins, Bui, and Zhu Phys. Rev. A 37 , 4071 (1988), which used a photon mass to regulate these divergences. By using a simpler version of the binding-energy approach advocated by these authors, we confirm the value of the discrepancy they obtained. Furthermore, it is shown that the additional term needed in the binding-energy approach to produce agreement between the two methods is precisely the one required to make the binding-energy regularized amplitudes gauge invariant to all orders in the binding.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Nov 1, 1990

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