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Convergence of derivative expansions in scalar field theory

Convergence of derivative expansions in scalar field theory
Convergence of derivative expansions in scalar field theory
The convergence of the derivative expansion of the exact renormalisation group is investigated via the computation of the β function of massless scalar λφ4 theory. The derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. Convergence of the derivative expansion of the Legendre flow equation is trivial at one loop, but also can occur at two loops and in particular converges for an exponential cutoff.
0217-751X
2095-2100
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Tighe, John F.
fceab9a2-868e-4230-9eaa-5a245fa6cee5
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Tighe, John F.
fceab9a2-868e-4230-9eaa-5a245fa6cee5

Morris, Tim R. and Tighe, John F. (2001) Convergence of derivative expansions in scalar field theory. International Journal of Modern Physics A, 16 (11), 2095-2100. (doi:10.1142/S0217751X01004761).

Record type: Article

Abstract

The convergence of the derivative expansion of the exact renormalisation group is investigated via the computation of the β function of massless scalar λφ4 theory. The derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. Convergence of the derivative expansion of the Legendre flow equation is trivial at one loop, but also can occur at two loops and in particular converges for an exponential cutoff.

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Published date: 30 April 2001

Identifiers

Local EPrints ID: 64254
URI: http://eprints.soton.ac.uk/id/eprint/64254
DOI: doi:10.1142/S0217751X01004761
ISSN: 0217-751X
PURE UUID: cc0edfea-d643-426b-8a4c-d3478f626e82
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

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Date deposited: 09 Jan 2009
Last modified: 16 Mar 2024 02:36

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Author: Tim R. Morris ORCID iD
Author: John F. Tighe

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