Two-loop self-dual Euler-Heisenberg Lagrangians (II): Imaginary part and Borel analysis | Zendy

Gerald V. Dunne | Zendy; Christian Schubert | Zendy

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Two-loop self-dual Euler-Heisenberg Lagrangians (II): Imaginary part and Borel analysis

Author(s) -

Gerald V. Dunne,

Christian Schubert

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/06/042

Subject(s) - instanton , the imaginary , euler's formula , mathematics , mathematical physics , loop (graph theory) , mathematical analysis , physics , combinatorics , psychology , psychotherapist

We analyze the structure of the imaginary part of the two-loopEuler-Heisenberg QED effective Lagrangian for a constant self-dual background.The novel feature of the two-loop result, compared to one-loop, is that theprefactor of each exponential (instanton) term in the imaginary part has itselfan asymptotic expansion. We also perform a high-precision test of Borelsummation techniques applied to the weak-field expansion, and find that theBorel dispersion relations reproduce the full prefactor of the leadingimaginary contribution.Comment: 28 pp, 6 eps figure

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