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The derivative expansion of the exact renormalisation group

The derivative expansion of the exact renormalisation group
The derivative expansion of the exact renormalisation group

We formulate a method of performing non-perturbative calculations in quantum field theory, based upon a derivative expansion of the exact renormalization group. We then proceed to apply this method to the calculation of critical exponents for three dimensional O(N) symmetric theory. Finally we discuss how the new approximation scheme manages to reproduce some exactly known solutions in critical phenomena.

University of Southampton
Turner, Michael Duncan
Turner, Michael Duncan

Turner, Michael Duncan (1996) The derivative expansion of the exact renormalisation group. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

We formulate a method of performing non-perturbative calculations in quantum field theory, based upon a derivative expansion of the exact renormalization group. We then proceed to apply this method to the calculation of critical exponents for three dimensional O(N) symmetric theory. Finally we discuss how the new approximation scheme manages to reproduce some exactly known solutions in critical phenomena.

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Published date: 1996

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Local EPrints ID: 459985
URI: http://eprints.soton.ac.uk/id/eprint/459985
PURE UUID: 030b3ae8-27b0-4c92-ba66-0f5a93ec203c

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Date deposited: 04 Jul 2022 17:32
Last modified: 04 Jul 2022 17:32

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Author: Michael Duncan Turner

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