Mass renormalization and energy level shift in non-relativistic QED

C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.

Journal Article | Published
Author
Hainzl, Christian; Seiringer, RobertIST Austria
Abstract
Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge Z and in presence of the quantized radiation field. We consider the case of small coupling constant α, but fixed Zα and ultraviolet cut-off Λ. We prove that after renormalizing the mass the binding energy has, to leading order in α, a finite limit as Λ goes to infinity; i.e., the cut-off can be removed. The expression for the ground state energy shift thus obtained agrees with Bethe's formula for small values of Zα, but shows a different behavior for bigger values.
Publishing Year
Date Published
2002-09-01
Journal Title
Advances in Theoretical and Mathematical Physics
Volume
6
Issue
5
Page
847 - 871
IST-REx-ID

Cite this

Hainzl C, Seiringer R. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 2002;6(5):847-871.
Hainzl, C., & Seiringer, R. (2002). Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics, 6(5), 847–871.
Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical Physics 6, no. 5 (2002): 847–71.
C. Hainzl and R. Seiringer, “Mass renormalization and energy level shift in non-relativistic QED,” Advances in Theoretical and Mathematical Physics, vol. 6, no. 5, pp. 847–871, 2002.
Hainzl C, Seiringer R. 2002. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 6(5), 847–871.
Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical Physics, vol. 6, no. 5, International Press, 2002, pp. 847–71.
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