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Hierarchical renormalization group fixed points

Abstract

Hierarchical renormalization group transformations are related to non-associative algebras. Non-trivial infrared fixed points are shown to be solutions of polynomial equations. At the example of a scalar model in d({>=}2) dimensions some methods for the solution of these algebraic equations are presented. ((orig.)).
Authors:
Pordt, A [1] 
  1. Muenster Univ. (Germany). Inst. fuer Theoretische Physik 1
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064347; EDB-95:132437; SN: 95001458362
Resource Relation:
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
Subject:
66 PHYSICS; RENORMALIZATION; ALGEBRA; ANALYTIC FUNCTIONS; ANALYTICAL SOLUTION; EQUATIONS; INFRARED DIVERGENCES; MANY-DIMENSIONAL CALCULATIONS; PARTITION FUNCTIONS; POLYNOMIALS; QUANTUM FIELD THEORY; SCALAR FIELDS; TRANSFORMATIONS
OSTI ID:
101040
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF386064347
Submitting Site:
NLN
Size:
pp. 829-831
Announcement Date:
Oct 05, 1995

Citation Formats

Pordt, A. Hierarchical renormalization group fixed points. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00394-O.
Pordt, A. Hierarchical renormalization group fixed points. Netherlands. doi:10.1016/0920-5632(95)00394-O.
Pordt, A. 1995. "Hierarchical renormalization group fixed points." Netherlands. doi:10.1016/0920-5632(95)00394-O. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00394-O.
@misc{etde_101040,
title = {Hierarchical renormalization group fixed points}
author = {Pordt, A}
abstractNote = {Hierarchical renormalization group transformations are related to non-associative algebras. Non-trivial infrared fixed points are shown to be solutions of polynomial equations. At the example of a scalar model in d({>=}2) dimensions some methods for the solution of these algebraic equations are presented. ((orig.)).}
doi = {10.1016/0920-5632(95)00394-O}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}