Vacuum energy densities in the \({\mathcal J} (\Phi{})_ 2\) Euclidean field theory

DOI10.1016/0034-4877(91)90022-FzbMath0769.46055OpenAlexW2058224558MaRDI QIDQ1201383

Roman Gielerak

Publication date: 17 January 1993

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(91)90022-f

zbMATH Keywords

general \(F\)-regular \({\mathcal J}(\varphi)_ 2\) measureindependence of the free energy density of all typical boundary conditions

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of functional analysis in quantum physics (46N50) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Unnamed Item
• Vacuum energy density in \({\mathcal P}(\phi)_ 2\) theories. Independence of (non-classical) boundary conditions (modified version)
• On the DLR equation for the \((\lambda:\phi^ 4: +b:\phi^ 2:+\mu\phi\), \(\mu\neq 0)_ 2\) Euclidean quantum field theory: The uniqueness theorem
• Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions
• Specifications and Martin boundaries for \(\mathcal P(\phi)_2\)-random fields