Functional integration for euclidean Dirac fields
Kupsch, J.
Annales de l'I.H.P. Physique théorique, Tome 51 (1989), p. 143-160 / Harvested from Numdam
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Publié le : 1989-01-01
@article{AIHPA_1989__50_2_143_0,
     author = {Kupsch, J.},
     title = {Functional integration for euclidean Dirac fields},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {51},
     year = {1989},
     pages = {143-160},
     mrnumber = {1002817},
     zbl = {0685.46050},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1989__50_2_143_0}
}

Kupsch, J. Functional integration for euclidean Dirac fields. Annales de l'I.H.P. Physique théorique, Tome 51 (1989) pp. 143-160. http://gdmltest.u-ga.fr/item/AIHPA_1989__50_2_143_0/

[1] L. Gross, J. Funct. Anal., t. 25, 1977, p. 162. | MR 1895524 | Zbl 0414.47010

[2] E. Seiler, Constructive Quantum Field Theory: Fermions. In P. Dita, V. Georgescu, R. Purice (Eds.): Gauge theories: Fundamental Interactions and Rigorous Results. Proceedings of the Poiana Brasov Summer School 1981; Birkhäuser, Boston, 1982. | MR 704366

[3] F.A. Berezin, The Method of Second Quantization. Academic Press, New York, 1966. | MR 208930 | Zbl 0151.44001

[4] P. Krée, Anticommutative Integration and Fermi Fields. In L. Streit (Ed.): Quantum Fields, Algebras, Processes, Springer Verlag, Wien, 1980. P. Krée, Anticommutative Integration. In J.-P. Antoine, E. Tirapegui (Eds.): Functional Integration, Plenum Press, New York, 1980. | MR 601798 | Zbl 0461.46053

[5] I.F. Wilde, J. Funct. Anal., t. 15, 1974, p. 12. | Zbl 0276.60095

[6] J. Fröhlich, K. Osterwalder, Helv. Phys. Acta, t. 47, 1974, p. 781. | MR 408549

[7] I.E. Segal, Ann. of Math., t. 63, 1956, p. 160. | MR 77908 | Zbl 0073.09403

[8] J. Kupsch, Fortschr. Physik, t. 35, 1987, p. 415. | MR 899880

[9] P.A. Meyer, Éléments de Probabilités Quantitiques. IV. In Séminaire de Probabilités XX. Lecture Notes in Mathematics, 1204, Springer Verlag, Berlin, 1986. | Numdam | MR 942022

[10] R.L. Hudson and K.R. Parthasarathy, Commun. Math. Phys., t. 104, 1986, p. 457. | MR 840747 | Zbl 0604.60063

[11] K. Osterwalder, R. Schrader, Helv. Phys. Acta, t. 46, 1973, p. 277. | MR 366276

[12] J. Palmer, J. Funct. Anal., t. 36, 1980, p. 287. | MR 571410 | Zbl 0436.60078

[13] P. Chernoff, J. Marsden, Properties of Infinite Dimensional Hamiltonian Systems. Lectures Notes in Mathematics, 425, Springer Verlag, Berlin, 1974. | MR 650113 | Zbl 0301.58016

[14] Yu. M. Berezanskii, Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables. American Math. Soc., Providence, 1986. | MR 835705 | Zbl 0596.47019

[15] I.M. Gelfand, N. Ya. VILENKIN, Generalized Functions. Vol. IV. Academic Press, New York, 1964.

[16] Y. Yamasaki, Measures on Infinite Dimensional Spaces. World Scientific, Singapore, 1985. | MR 999137 | Zbl 0591.28012

[17] T. Hida, Brownian Motion. Springer Verlag, New York, 1980. | MR 562914 | Zbl 0432.60002

[18] J. Schwinger, Phys. Rev., t. 115, 1959, p. 721. | MR 111498 | Zbl 0087.23202

[19] L. Alvarez-Gaumé, An Introduction to Anomalies. In G. Velo, A. S. Wightman (Eds.): Fundamental Problems of Gauge Field Theory, NATO ASI Series B 141, Plenum Press, New York, 1986. | MR 878768