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ON matrix superpropagators I

journal contribution
posted on 2023-05-18, 05:27 authored by Ashmore, J, Robert DelbourgoRobert Delbourgo
Given the free propagator of a matrix‐valued field φαβ in the form <φαβ(x), φγδ (0)> = (1/2) (δαγδβδαδδβγ − 2cδαβδγδ) Δ (x), we derive an integral representation for the matrix superpropagator <φNαβ(x),φNγδ(0)> <φ αβ N (x),φ γδ N (0)> for arbitrary N, and apply this to find the exponentially parametrized gravity superpropagator <|−g(x)|ω g αβ (x), |−g(0)|ω g γδ (0)> with g μν(x) ≡ [exp κφ(x)]μν. Other applications are also mentioned.

History

Publication title

Journal of Mathematical Physics

Volume

14

Pagination

176-181

ISSN

0022-2488

Department/School

School of Natural Sciences

Publisher

Amer Inst Physics

Place of publication

Circulation & Fulfillment Div, 2 Huntington Quadrangle, Ste 1 N O 1, Melville, USA, Ny, 11747-4501

Repository Status

  • Restricted

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Expanding knowledge in the physical sciences

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