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Induced gravity and the gauge technique

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Eastaugh, Alexander Geoffrey (1984) Induced gravity and the gauge technique. Unspecified thesis, University of Tasmania.

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Abstract

The apparent incompatibility of the quantum theory with
general relativity is well known. In this thesis we consider a
possible solution to this problem, namely the program of induced
gravity.
The problem of quantum gravity, namely its nonrenormalizability,
is due to its scale non-invariance. The assumption of the
induced gravity program is to begin with a fundamental scale invariant
Lagrangian which is renormalizable. Quantum fluctuations
can break scale invariance and thus it is possible that the
Einstein-Hilbert Lagrangian will be induced, as first shown by
Sakharov. This breaking of a classical symmetry by quantum
fluctuations is called dynamical symmetry breaking.
It is possible to derive a relation between the induced
Newtonian gravitational constant, G, and the stress-energy tensor
of the matter fields. This formula, due to Adler and Zee, is
derived. A review is given of all previous model calculations of
G and their successes and failures noted. The extension to a
quantized metric is considered and the properties of the scale
invariant fundamental gravitational Lagrangian are studied.
Since the idea of inducing gravity as a quantum effect is
essentially a non-perturbative effect, we require non-perturbative
techniques to obtain useful information. One such technique is
the Delbourgo-Salam Gauge Technique. A review of this technique
is given, followed by its application to the program of induced
gravity. The philosophy of this ansatze is used to calculate an approximation to the contribution to G from a general fermiongraviton theory in terms of the spectral function of the fermion.
The details of the Gauge Technique are then used to perform an
actual calculation of the contribution to G from QED.
The result is quite small, signifying that the contribution to
G from the electrodynamic interactions of the low mass fermions
does not lead to any unexpected surprises.

Item Type: Thesis (Unspecified)
Keywords: Quantum gravity, Gauge fields (Physics), General relativity (Physics)
Copyright Holders: The Author
Copyright Information:

Copyright 1984 the Author - The University is continuing to endeavour to trace the copyright
owner(s) and in the meantime this item has been reproduced here in good faith. We
would be pleased to hear from the copyright owner(s).

Additional Information:

Bibliography: leaves 95-101. Thesis (M. Sc.)--University of Tasmania, 1984

Date Deposited: 08 Dec 2014 23:56
Last Modified: 27 Jul 2016 04:02
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