Functional Determinants in Higher Derivative Lagrangian Theories
High Energy Physics - Theory
2014-11-20 v2 Mathematical Physics
math.MP
Abstract
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
Keywords
Cite
@article{arxiv.0907.4265,
title = {Functional Determinants in Higher Derivative Lagrangian Theories},
author = {Roberto Di Criscienzo and Sergio Zerbini},
journal= {arXiv preprint arXiv:0907.4265},
year = {2014}
}
Comments
12 pages, no figures, error sign corrected in section 3, conclusions unchanged, one reference added