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Nontrivial fixed point in the 4D {Phi}{sup 4} lattice model with internal O(N) symmetry

Abstract

It is shown that the infinite dimensional critical surface of general euclidean lattice actions in a generic four-dimensional scalar field theory with {Phi}{sup 4} interactions has a domain of special multicritical points where higher dimensional operators play a special role. Renormalized trajectories of higher derivative continuum field theories with nontrivial interactions are traced back to special ultraviolet stable fixed points on the manifold of multicritical points. These fixed points have an infinite number of relevant directions which identify the universality classes of critical higher derivative field theories. The relevance of the new fixed point structure is discussed within the context of the triviality Higgs mass bound. ((orig.)).
Authors:
Kuti, J [1] 
  1. California Univ., San Diego, La Jolla, CA (United States). Dept. of Physics
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064457; EDB-95:132461; SN: 95001458471
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; HIGGS BOSONS; REST MASS; PHI4-FIELD THEORY; LATTICE FIELD THEORY; ACTION INTEGRAL; COUPLING CONSTANTS; CRITICAL TEMPERATURE; DIFFERENTIAL CALCULUS; ENERGY DEPENDENCE; EUCLIDEAN SPACE; FOUR-DIMENSIONAL CALCULATIONS; HIGGS MODEL; INTERACTIONS; LAGRANGIAN FIELD THEORY; LIMITING VALUES; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL MANIFOLDS; O GROUPS; QUANTUM OPERATORS; RENORMALIZATION; SCALAR FIELDS; SYMMETRY; ULTRAVIOLET DIVERGENCES
OSTI ID:
101199
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF587064457
Submitting Site:
NLN
Size:
pp. 113-119
Announcement Date:
Oct 05, 1995

Citation Formats

Kuti, J. Nontrivial fixed point in the 4D {Phi}{sup 4} lattice model with internal O(N) symmetry. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00193-D.
Kuti, J. Nontrivial fixed point in the 4D {Phi}{sup 4} lattice model with internal O(N) symmetry. Netherlands. doi:10.1016/0920-5632(95)00193-D.
Kuti, J. 1995. "Nontrivial fixed point in the 4D {Phi}{sup 4} lattice model with internal O(N) symmetry." Netherlands. doi:10.1016/0920-5632(95)00193-D. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00193-D.
@misc{etde_101199,
title = {Nontrivial fixed point in the 4D {Phi}{sup 4} lattice model with internal O(N) symmetry}
author = {Kuti, J}
abstractNote = {It is shown that the infinite dimensional critical surface of general euclidean lattice actions in a generic four-dimensional scalar field theory with {Phi}{sup 4} interactions has a domain of special multicritical points where higher dimensional operators play a special role. Renormalized trajectories of higher derivative continuum field theories with nontrivial interactions are traced back to special ultraviolet stable fixed points on the manifold of multicritical points. These fixed points have an infinite number of relevant directions which identify the universality classes of critical higher derivative field theories. The relevance of the new fixed point structure is discussed within the context of the triviality Higgs mass bound. ((orig.)).}
doi = {10.1016/0920-5632(95)00193-D}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}