Covariant Symanzik identities

DOI10.2140/pmp.2021.2.419zbMath1483.60112arXiv1607.05201OpenAlexW3209948447MaRDI QIDQ2668201

Adrien Kassel, Thierry Lévy

Publication date: 3 March 2022

Published in: Probability and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05201

zbMATH Keywords

random walksholonomylocal timesdiscrete potential theoryisomorphism theoremsdiscrete gauge theorycovariant Feynman-Kac formulaGaussian free vector fieldLaplacian on vector bundlesPoissonian ensembles of Markovian loops

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Local time and additive functionals (60J55) Multiplicative functionals and Markov processes (60J57)

Related Items (5)

Topological expansion in isomorphism theorems between matrix-valued fields and random walks ⋮ Asymptotics of the determinant of discrete Laplacians on triangulated and quadrangulated surfaces ⋮ Determinantal probability measures on Grassmannians ⋮ A colourful path to matrix-tree theorems ⋮ Weighted graphs and complex Gaussian free fields

Cites Work

• Unnamed Item
• Coupling and an application to level-set percolation of the Gaussian free field
• A note on Ising random currents, Ising-FK, loop-soups and the Gaussian free field
• Topics in occupation times and Gaussian free fields
• An isomorphism theorem for random interlacements
• Markov paths, loops and fields. École d'Été de Probabilités de Saint-Flour XXXVIII -- 2008
• Wilson loops in the light of spin networks
• The Feynman-Kac formula for Schrödinger operators on vector bundles over complete manifolds
• Spanning forests and the vector bundle Laplacian
• From loop clusters and random interlacements to the free field
• Inverting Ray-Knight identity
• Gaussian and non-Gaussian random fields associated with Markov processes
• Markov loops and renormalization
• Duality of real and quaternionic random matrices
• Markov processes as a tool in field theory
• Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups
• Topics in loop measures and the loop-erased walk
• Exponential concentration of cover times
• A Ray-Knight theorem for symmetric Markov processes.
• A colourful path to matrix-tree theorems
• Markov loops, coverings and fields
• On scaling limits and Brownian interlacements
• The geometry of random walk isomorphism theorems
• The free Markoff field
• Weighted graphs and complex Gaussian free fields
• Decomposition of Brownian loop-soup clusters
• Random curves on surfaces induced from the Laplacian determinant
• Generalized Schrödinger semigroups on infinite graphs
• Gaussian Hilbert Spaces
• Markov processes and random fields
• On the Spatial Markov Property of Soups of Unoriented and Oriented Loops
• Markov Processes, Gaussian Processes, and Local Times

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