New Interpretation of the Euclidean-Markov Field in the Framework of Physical Minkowski Space-Time
- 15 October 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 31 (16), 1022-1025
- https://doi.org/10.1103/physrevlett.31.1022
Abstract
The Euclidean-Markov field, extensively used in constructive quantum field theory, is shown to be the same as the lowest energy generalized stochastic process associated with classical field theory through the procedure of Nelson's stochastic mechanics. As a result, the underlying four-dimensional manifold, on which the Markov field is defined, can be considered as the physical space-time.This publication has 13 references indexed in Scilit:
- The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-timeJournal of Functional Analysis, 1974
- Uniqueness of the physical vacuum and the Wightman functions in the infinite volume limit for some non polynomial interactionsCommunications in Mathematical Physics, 1973
- Correlation inequalities and the mass gap inP(φ)2Communications in Mathematical Physics, 1973
- Axioms for Euclidean Green's functionsCommunications in Mathematical Physics, 1973
- Griffiths-Hurst-Sherman Inequalities and a Lee-Yang Therorem for theField TheoryPhysical Review Letters, 1973
- Statistical mechanics results in the P(φ)2 quantum field theoryPhysics Letters B, 1973
- The free Markoff fieldJournal of Functional Analysis, 1973
- Construction of quantum fields from Markoff fieldsJournal of Functional Analysis, 1973
- Euclidean Quantum ElectrodynamicsPhysical Review B, 1959
- Quantum Field Theory in Terms of Euclidean ParametersProgress of Theoretical Physics, 1959