Functional Determinants in Higher Derivative Lagrangian Theories

Details Functional Determinants in Higher Derivative Lagrangian Theories Functional Determinants in Higher Derivative Lagrangian Theories

2009-07-24

arxiv.org/abs/0907.4265v2

J.Math.Phys.50:103517,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures, error sign corrected in section 3, conclusions unchanged, one reference added

Scientific paper

10.1063/1.3231788

Motivated by the considerable success of alternative theories of gravity, we consider the toy model of a higher derivative Lagrangian theory, namely the Pais-Uhlenbeck oscillator studied in a recent paper by Hawking-Hertog. Its Euclidean Path Integral is studied with a certain detail and a pedagogical derivation of the propagator, which makes use of a Theorem due to Forman, is consequently proposed

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