MARKOV QUANTUM FIELDS ON A MANIFOLD

DOI10.1142/S0129055X04001947zbMath1072.81046arXivmath-ph/0305017MaRDI QIDQ4818882

Jonathan Dimock

Publication date: 24 September 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0305017

zbMATH Keywords

reflectionMarkov propertysewing

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Constructive quantum field theory (81T08) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (13)

On the construction of Euclidean invariant and reflection positive measures on the cylindrical compactification of distributions ⋮ Gaussian free fields and Riemannian rigidity ⋮ KMS conditions, standard real subspaces and reflection positivity on the circle group ⋮ Quantum field theory on curved backgrounds. I: The Euclidean functional integral ⋮ Symmetric spaces with dissecting involutions ⋮ Markov properties for Gaussian fields associated with Dirichlet forms ⋮ Transition amplitudes and sewing properties for bosons on the Riemann sphere ⋮ AdS/CFT correspondence in the Euclidean context ⋮ Reflection positivity on spheres ⋮ A construction of Euclidean invariant, reflection positive measures on a compactification of distributions ⋮ Reflection positivity and monotonicity ⋮ More transition amplitudes on the Riemann sphere ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

Cites Work

• Unnamed Item
• \({\mathcal P}(\phi)_ 2\) models with variable coefficients
• Random fields on Riemannian manifolds: A constructive approach
• Representations of the Heisenberg algebra on a Riemann surface
• Two-dimensional conformal geometry and vertex operator algebras
• On the structure of unitary conformal field theory. I: Existence of conformal blocks
• The free Markoff field
• Construction of quantum fields from Markoff fields

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