Two loop selfdual Euler-Heisenberg Lagrangians. 2. Imaginary part and Borel analysis

Dunne, Gerald V.; Schubert, Christian

doi:10.1088/1126-6708/2002/06/042

Two loop selfdual Euler-Heisenberg Lagrangians. 2. Imaginary part and Borel analysis

Gerald V. Dunne
(
- Connecticut U.
)
,
Christian Schubert
(
- IFM-UMSNH, Michoacan and
- Boston U. and
- CIPA, Palo Alto
)

Apr, 2002

28 pages

Published in:

JHEP 06 (2002) 042

e-Print:

hep-th/0205005 [hep-th]

DOI:

10.1088/1126-6708/2002/06/042

Report number:

BUCMP-02-04,
UMSNH-PHYS-02-7

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Abstract:

We analyze the structure of the imaginary part of the two-loop Euler-Heisenberg QED effective Lagrangian for a constant self-dual background. The novel feature of the two-loop result, compared to one-loop, is that the prefactor of each exponential (instanton) term in the imaginary part has itself an asymptotic expansion. We also perform a high-precision test of Borel summation techniques applied to the weak-field expansion, and find that the Borel dispersion relations reproduce the full prefactor of the leading imaginary contribution.

quantum electrodynamics
effective Lagrangian
background field: constant
duality
expansion: weak field
dispersion relation
expansion: strong field
asymptotic expansion
numerical calculations

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