Journal Article

PUBDB-2017-04933

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Renormalization in a classical lattice field theory

Bartels, J. ; Chang, S.-J.

1990
Inst.8644 Woodbury, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevA.41.598

Abstract: We formulate and describe a renormalization-group transformation for classical λφ4-field theory on a lattice. The main idea is to divide the angle variables of the oscillators into the fast ones (large momenta) and the slow ones (low momenta) and to average over the fast ones. This results in an effective Hamiltonian for the remaining slow modes, which can be compared with the starting Hamiltonian. We derive fixed-point conditions and obtain a scaling law for those classical solutions for which the renormalization step can be iterated. There is a striking resemblence between our classical treatment and the analogous procedure in quantum field theory, which we discuss in some detail.

Note: Theorie

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report Bartels, J. ; Chang, S.-J.
Renormalization in a classical lattice field theory
59 pp. (1990) [10.3204/PUBDB-2017-04933]1990     Files BibTeX | EndNote: XML, Text | RIS

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