Transition amplitudes and sewing properties for bosons on the Riemann sphere

Journal Article · Tue May 15 04:00:00 EDT 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2740468· OSTI ID:20929713

Dimock, J ^[1]

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1. Department of Mathematics, SUNY at Buffalo, Buffalo, New York 14260 (United States)

We consider scalar quantum fields on the sphere, both massive and massless. In the massive case we show that the correlation functions define amplitudes which are trace class operators between tensor products of a fixed Hilbert space. We also establish certain sewing properties between these operators. In the massless case we consider exponential fields and have a conformal field theory. In this case the amplitudes are only bilinear forms but still we establish sewing properties. Our results are obtained in a functional integral framework.

• OSTI ID: 20929713
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 48; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
HILBERT SPACE
INTEGRALS
QUANTUM FIELD THEORY
RIEMANN SPACE
SCALARS
SPHERES
TENSORS
TRANSITION AMPLITUDES