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Wolpert, Robert L.

Local time and a particle picture for Euclidean field theory. (English) Zbl 0464.70016

J. Funct. Anal. 30, 341-357 (1978).
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Cited in 12 Documents

MSC:

70G99 General models, approaches, and methods in mechanics of particles and systems
81T08 Constructive quantum field theory

Keywords:

local time and particle picture; Euclidean field theory; Brownian motion
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References:

[1] Chung, K. L., A Course in Probability Theory (1968), Harcourt Brace & World: Harcourt Brace & World New York · Zbl 0159.45701
[2] Glimm, J.; Jaffe, A., A \(λφ^4\) quantum field theory without cutoffs, I, Phys. Rev., 176, 1945-1951 (1968) · Zbl 0177.28203
[3] F. Guerra, L. Rosen, and B. Simon\(Pφ_2\); F. Guerra, L. Rosen, and B. Simon\(Pφ_2\)
[4] Nelson, E., A quartic interaction in two dimensions, (Goodman, R.; Segal, I., Mathematical Theory of Elementary Particles (1966), M.I.T. Press: M.I.T. Press Cambridge, Mass)
[5] Nelson, E., Construction of quantum fields from Markoff fields, J. Functional Analysis, 12, 97-112 (1973) · Zbl 0252.60053
[6] Nelson, E., The free Markoff field, J. Functional Analysis, 12, 112-227 (1973) · Zbl 0273.60079
[7] Nelson, E., Lectures at 1973 Erice Summer School, (Velo, G.; Wightman, A. S., Constructive Quantum Field Theory (1973), Springer-Verlag: Springer-Verlag Berlin)
[8] Osterwalder, K.; Schrader, R., Axioms for Euclidean Green’s functions, Comm. Math. Phys., 31, 83-112 (1973) · Zbl 0274.46047
[9] Reed, M.; Simon, B., Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis, Self-Adjointness (1975), Academic Press: Academic Press New York · Zbl 0308.47002
[10] Ruelle, D., Statistical Mechanics (1969), Benjamin: Benjamin New York · Zbl 0169.57502
[11] Simon, B., The \(P(φ)_2\) Euclidean (Quantum) Field Theory (1974), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 1175.81146
[12] Wolpert, R., Wiener path intersections and local time, J. Functional Analysis, 30, 329-340 (1978) · Zbl 0403.60069
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