"TITLE","AUTHORS","SUBJECT","SUBJECT_RELATED","DESCRIPTION","PUBLISHER","AVAILABILITY","RESEARCH_ORG","SPONSORING_ORG","PUBLICATION_COUNTRY","PUBLICATION_DATE","CONTRIBUTING_ORGS","LANGUAGE","RESOURCE_TYPE","TYPE_QUALIFIER","JOURNAL_ISSUE","JOURNAL_VOLUME","RELATION","COVERAGE","FORMAT","IDENTIFIER","REPORT_NUMBER","DOE_CONTRACT_NUMBER","OTHER_IDENTIFIER","DOI","RIGHTS","ENTRY_DATE","OSTI_IDENTIFIER","PURL_URL" "The derivative expansion of the renormalization group","Morris, T R [Southampton Univ. (United Kingdom). Dept. of Physics]","66 PHYSICS; LATTICE FIELD THEORY; RENORMALIZATION; SERIES EXPANSION; ACTION INTEGRAL; ANOMALOUS DIMENSION; ASYMPTOTIC SOLUTIONS; DIFFERENTIAL CALCULUS; DIFFERENTIAL EQUATIONS; EIGENVALUES; FOUR-DIMENSIONAL CALCULATIONS; FREE ENERGY; NONLINEAR PROBLEMS; PARTITION FUNCTIONS; PHASE TRANSFORMATIONS; SCALAR FIELDS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS","","By writing the flow equations for the continuum Legendre effective action (a.k.a. Helmholtz free energy) with respect to a particular form of smooth cutoff, and performing a derivative expansion up to some maximum order, a set of differential equations are obtained which at FPs (Fixed Points) reduce to non-linear eigenvalue equations for the anomalous scaling dimension {eta}. Illustrating this by expanding (single component) scalar field theory, in two, three and four dimensions, up to second order in derivatives, we show that the method is a powerful and robust means of discovering and quantifying non-perturbative continuum limits (continuous phase transitions). ((orig.)).","","","","","Netherlands","1995-04-01","","English","Journal Article","","","42","Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995","","Medium: X; Size: pp. 811-814","","CONF-9409269-","","Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF391064351","https://doi.org/10.1016/0920-5632(95)00389-Q","","2010-12-29","101045",""