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ON matrix superpropagators I
journal contribution
posted on 2023-05-18, 05:27 authored by Ashmore, J, Robert DelbourgoRobert DelbourgoGiven the free propagator of a matrix‐valued field φαβ in the form <φαβ(x), φγδ (0)> = (1/2) (δαγδβδ +δαδδβγ − 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 PhysicsVolume
14Pagination
176-181ISSN
0022-2488Department/School
School of Natural SciencesPublisher
Amer Inst PhysicsPlace of publication
Circulation & Fulfillment Div, 2 Huntington Quadrangle, Ste 1 N O 1, Melville, USA, Ny, 11747-4501Repository Status
- Restricted