Analytic Renormalization of the Exponential Interaction: The Three‐Point Time‐Ordered Product with Minimum Light Cone Singularity

A method of analytic renormalization is developed to define the three‐point time‐ordered product of massless fields of exponential type as a strictly localizable distribution. The uniqueness property, known for the two‐point T‐product, is verified for the three‐point product, for a special choice of...

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Veröffentlicht in:	J. Math. Phys. (N. Y.) 13: No. 7, 1026-41(Jul 1972) 1026-41(Jul 1972), 1972-07, Vol.13 (7), p.1026-1041
Hauptverfasser:	Daniel, M., Mitter, P. K.
Format:	Artikel
Sprache:	eng
Schlagworte:	ANALYTIC FUNCTIONS LAGRANGIAN FUNCTION LIGHT CONE N64420 -Physics (Theoretical)-Quantum Field Theories QUANTUM FIELD THEORY QUANTUM FIELD THEORY/renormalization of exponential interaction Lagrangians in, analytic RENORMALIZATION
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Zusammenfassung:	A method of analytic renormalization is developed to define the three‐point time‐ordered product of massless fields of exponential type as a strictly localizable distribution. The uniqueness property, known for the two‐point T‐product, is verified for the three‐point product, for a special choice of fine renormalization. It is characterized by minimum singularity on the light cone: There are no delta function type singularities concentrated on the surface x 1 = x 2 = x 3.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.1666082