ANALYTIC RESULTS FOR THE EFFECTIVE ACTION
Steven K. BlauTheoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USAMatt VisserTheoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USAAndreas WipfMax Planck Institut für Physik and Astrophysik, Werner Heisenberg Institut für Physik, D-8000 München 40, Germany
1991en
ABI
Annotatsiya
Motivated by the seminal work of Schwinger, we obtain explicit closed-form expressions for the one-loop effective action in a constant electromagnetic field. We discuss both massive and massless charged scalars and spinors in two, three and four dimensions. Both strong-field and weak-field limits are calculable. The latter limit results in an asymptotic expansion whose first term reproduces the Euler-Heinsenberg effective Lagrangian. We use the prescription of zeta-function renormalization, and indicate its relationship to Schwinger’s renormalized effective action.
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