Rational Conformal Correlation Functions of Gauge-Invariant Local Fields in Four Dimensions

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/1.2131122· OSTI ID:20692913

Nikolov, N M ^[1]; Stanev, Ya S ^[1]; INFN, Sez di Roma 2 ^[2]; Todorov, I T ^[1]

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1. Institute for Nuclear Research and Nuclear Energy, Sofia (Bulgaria)
2. Italy

Global conformal invariance in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thus providing an extension of the concept of a vertex algebra to higher (even) dimensions D. We (p)review current work on a model of a Hermitian scalar field L of scale dimension 4 (D = 4) which can be interpreted as the Lagrangian of a gauge field theory that generates the algebra of gauge-invariant local observables in a conformally invariant renormalization group fixed point.

• OSTI ID: 20692913
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 11 Vol. 68; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
GAUGE INVARIANCE
HUYGENS PRINCIPLE
LAGRANGIAN FUNCTION
LOCALITY
MINKOWSKI SPACE
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SCALE DIMENSION
SPACE-TIME