Introduction to Stochastic Field Theory
Publications des séminaires de mathématiques et informatique de Rennes, International Conference on Dynamical Systems in Mathematical Physics, no. S4 (1975), article no. 11, 5 p.
@article{PSMIR_1975___S4_A11_0,
     author = {Guerra, Francesco},
     title = {Introduction to {Stochastic} {Field} {Theory}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {11},
     pages = {1--5},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S4},
     year = {1975},
     language = {en},
     url = {http://archive.numdam.org/item/PSMIR_1975___S4_A11_0/}
}
TY  - JOUR
AU  - Guerra, Francesco
TI  - Introduction to Stochastic Field Theory
JO  - Publications des séminaires de mathématiques et informatique de Rennes
PY  - 1975
SP  - 1
EP  - 5
IS  - S4
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://archive.numdam.org/item/PSMIR_1975___S4_A11_0/
LA  - en
ID  - PSMIR_1975___S4_A11_0
ER  - 
%0 Journal Article
%A Guerra, Francesco
%T Introduction to Stochastic Field Theory
%J Publications des séminaires de mathématiques et informatique de Rennes
%D 1975
%P 1-5
%N S4
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://archive.numdam.org/item/PSMIR_1975___S4_A11_0/
%G en
%F PSMIR_1975___S4_A11_0
Guerra, Francesco. Introduction to Stochastic Field Theory. Publications des séminaires de mathématiques et informatique de Rennes, International Conference on Dynamical Systems in Mathematical Physics, no. S4 (1975), article  no. 11, 5 p. http://archive.numdam.org/item/PSMIR_1975___S4_A11_0/

[1] J. Fröhlich, Verification of Axioms for Euclidean and Relativistic Fields and Haag’s Theorem in a Class of P(ϕ) 2 -Models, Ann. Inst. Henry Poincaré XXI, 271 (1974). | MR

[2] I. I. Gihman and A. V. Skorohod, Stochastic Differential Equations, Springer-Verlag, Berlin (1972). | MR | Zbl

[3] J. Glimm and A. Jaffe, Quantum Field Theory Models, in Statistical Mechanics and Quantum Field Theory, C. DeWitt, R. Stora, Eds., Gordon and Breach, New York (1971).

[4] F. Guerra, On Stochastic Field Theory, Suppl. J. de Physique 34, Cl-95 (1973).

[5] F. Guerra, report at the Conference on Quantum Dynamics: Models and Mathematics, Bielefeld, DBR, September 8-12, 1975.

[6] F. Guerra, L. Rosen and B. Simon, The P(Ø)2 Euclidean Quantum Field Theory as Classical Statistical Mechanics, Annals of Mathematics 101, 111 (1975). | MR

[7] F. Guerra and P. Ruggiero, New Interpretation of the Euclidean- Markov Field in the Framework of Physical Minkowski Space-Time, Phys. Rev. Lett. 31, 1022 (1973), and paper in preparation.

[8] T. Nakano, Quantum Field Theory in Terms of Euclidean Parameters, Prog. Theor. Phys. 21, 241 (1959). | MR | Zbl

[9] E. Nelson, Derivation of the Schrödinger Equation from Newtonian Mechanics, Phys. Rev. 150, 1079 (1966).

[10] E. Nelson, Dynamical Theories of Brownian Motion, Princeton University Press, 1967. | MR | Zbl

[11] E. Nelson, Construction of Quantum Fields from Markoff Fields, Journal of Functional Analysis 12, 94 (1973), | MR | Zbl

E. Nelson The Free Markoff Field, Journal of Functional Analysis 12, 211 (1973). | MR | Zbl

[12] E. Nelson, Probability Theory and Euclidean Field Theory, contribution to [18]. | Zbl

[13] K. Osterwalder and R. Schrader, Axioms for Euclidean Green's Functions, Comm. Math. Phys. 31, 83 (1973), 42, 281 (1975). | Zbl

[14] J. Schwinger, On the Euclidean Structure of Relativistic Field Theory, Proc, Nat. Acad. Sc. U.S. 44, 956 (1958). | MR | Zbl

[15] B. Simon, The P(Ø)2 Euclidean (Quantum) Field Theory, Princeton Series in Physics, 1974. | MR | Zbl

[16] R. Streater and A. S. Wightman, PCT, Spin and Statistics and All That, Benjamin, New York, 1964. | MR | Zbl

[17] K. Symanzik, Euclidean Quantum Field Theory, in Local Quantum Theory, R. Jost, Ed. , Academic Press, New York, 1969.

[18] G.- Velo and A. S. Wightman, Eds. , Constructive Quantum Field Theory, Springer Verlag, Berlin, 1973. | MR