Quantum Cylindrical Waves and Sigma Models

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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11 pages (DIN A4), accepted in International Journal of Modern Physics D

Scientific paper

10.1142/S0218271804004554

We analyze cylindrical gravitational waves in vacuo with general polarization
and develop a viewpoint complementary to that presented recently by Niedermaier
showing that the auxiliary sigma model associated with this family of waves is
not renormalizable in the standard perturbative sense.

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