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