Quantum nonlocal field theory; Physics without infinities

Journal Article · Wed Sep 30 04:00:00 EDT 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92002787· OSTI ID:6917302

Cornish, N J ^[1]

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1. Toronto Univ., ON (Canada). Dept. of Physics

It is argued that nonlocality is an essential ingredient in Relativistic Quantum Field Theory in order to have finite theory without recourse to a renormalization program. A critical review of the physical constraints on the form the nonlocality can take is presented in this paper. The conclusion of this review is that nonlocality must be restricted to interactions with the vacuum sea of virtual particles. A successful formulation of such a theory, QNFT, is applied to scalar electrodynamics and serves to illustrate how gauge invariance and manifest finiteness can be achieved. The importance of the infinite dimensional symmetry groups that occur in QNFT are discussed as an alternative to supersymmetry, the ability to generate masses by breaking the nonlocal symmetry with a noninvariant functional measure is given a critical assessment. To demonstrate some of the many novel applications QNFT may make possible two examples are mooted, the existence of electroweak monopoles and the formulation of a finite perturbative theory of Quantum Gravity.

• OSTI ID: 6917302
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:24; ISSN IMPAEF; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONSTRAINTS
DOCUMENT TYPES
ELECTRODYNAMICS
ELEMENTARY PARTICLES
ENERGY RANGE
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RELATIVISTIC RANGE
RENORMALIZATION
REVIEWS
SCALARS
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
USES
VACUUM STATES
VIRTUAL PARTICLES
WEINBERG-SALAM GAUGE MODEL