Abstract
We give necessary and sufficient conditions for Euclidean Green functions to have analytic continuation to a relativistic field theory with exponential growth in momentum space (= the Fainberg-Iofa fields or the fields with ‘fundamental’ length).
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References
Osipov, E.P., Euclidean Green functions for nonlocalizable fields with exponential growth in momentum space, Novosibirsk Institute for Mathematics, preprint TPh-N24 (156), (1987).
Fainberg, V.Ya. and Soloviev, M.A., Ann. Phys. 113, 421 (1978).
Nagamachi, S. and Mugibayashi, N., Commun. Math. Phys. 49, 257 (1976).
Osterwalder, K. and Schrader, R., Commun. Math. Phys. 31, 83 (1973).
Fröhlich, J., On the construction of quantized gauge fields, in W. Rühl (ed.), Field-Theoretical Methods in Particle Physics, Plenum, New York, 1980, pp. 1–40.
Seiler, E., Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics, Springer, Berlin, 1982.
Osipov, E.P., Euclidean Markov fields from stochastic partial differential equations in eight-dimensional space, Novosibirsk Institute for Mathematics, preprint TPh-N15 (152), (1987).
Kawai, T., J. Fac. Sci. Univ. Tokyo IA Math. 17, 467 (1970).