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Journal of Mathematical Physics / Volume 26 / Issue 1

J. Math. Phys. 26, 185 (1985); http://dx.doi.org/10.1063/1.526781 (7 pages)

Effective action on the hyperbolic plane in a constant external field

A. Comtet1 and P. J. Houston2

1Division de Physique Theorique, Institut de Physique Nucléaire, Université Paris‐Sud B. P. No. 1, F‐91406 Orsay Cedex, France
2Division de Physique Theorique, Institut de Physique Nucléaire, Université Paris‐Sud B. P. No. 1, F‐91406 Orsay, Cedex, France and School of Mathematics, 39 Trinity College, Dublin 2, Ireland,

(Received 12 April 1984; accepted 1 June 1984)

Massive scalar and spin 1/2 fields are considered on a two‐dimensional space‐time with constant background curvature and in the presence of an external constant field. For each case, the Euler–Heisenberg effective action and the pair creation rate and their dependence on both the curvature and external field is determined exactly.

KEYWORDS and PACS

Keywords

space−time, two−dimensional calculations, quantum field theory, klein−gordon equation, scalar fields, metrics, fermi statistics, gravitational fields, electromagnetic fields, riemann space, rotation, wick theorem, poincare groups, mathematical manifolds, spin

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.526781

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    J. Schwinger, Phys. Rev. 82, 664 (1951).

    P. Candelas and D. J. Raine, Phys. Rev. D 15, 1494 (1977).



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