Local relativistic invariant flows for quantum fields

DOI10.1007/BF01206886zbMath0538.46053OpenAlexW1975010607MaRDI QIDQ793303

Ph. Combe, M. Sirugue, Sergio A. Albeverio, Raphael J. Høegh-Krohn, Philippe Blanchard

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206886

zbMATH Keywords

isometric operatorlocal relativistic invariancequantum fields with trigonometric interaction in arbitrary space dimensionrepresentation of the Lorentz group by automorphisms on a Banach space generated by the Weyl algebra

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

Related Items (8)

On the Poisson integrals representation in the classical statistical mechanics of continuous systems ⋮ Large deviations from classical paths. Hamiltonian flows as classical limits of quantum flows ⋮ A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other p.d.e.'s ⋮ Euclidean random fields obtained by convolution from generalized white noise ⋮ Random fields as solutions of the inhomogeneous quaternionic Cauchy- Riemann equation. I: Invariance and analytic continuation ⋮ Schrödinger representation in Euclidean quantum field theory ⋮ Representation of a quantum field Hamiltonian in \(p\)-adic Hilbert space ⋮ High temperature behaviour of quantum mechanical thermal functionals

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