Construction of a one-dimensional quantum field by means of a continuous Markov field

DOI10.1007/BF01075740zbMath0294.60081MaRDI QIDQ1212744

Robert Adol'fovich Minlos, Roland Lvovich Dobrushin

Publication date: 1974

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Distributions, generalized functions, distribution spaces (46F99)

Related Items (6)

Vacuum energy density in \({\mathcal P}(\phi)_ 2\) theories. Independence of (non-classical) boundary conditions (modified version) ⋮ Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions ⋮ Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion ⋮ Quantum Markov states on Cayley trees ⋮ The noncommutative Markovian property ⋮ Phase transitions for \(\phi_2^4\) quantum fields

Cites Work

• Axioms for Euclidean Green's functions
• Construction of quantum fields from Markoff fields
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