Functional integration for euclidean Dirac fields

 Access to full text

 Full (PDF)

1. [1] L. Gross, J. Funct. Anal., t. 25, 1977, p. 162. Zbl0414.47010MR1895524
2. [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 School1981; Birkhäuser, Boston, 1982. MR704366
3. [3] F.A. Berezin, The Method of Second Quantization. Academic Press, New York, 1966. Zbl0151.44001MR208930
4. [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. Zbl0461.46053MR601798
5. [5] I.F. Wilde, J. Funct. Anal., t. 15, 1974, p. 12. Zbl0276.60095
6. [6] J. Fröhlich, K. Osterwalder, Helv. Phys. Acta, t. 47, 1974, p. 781. MR408549
7. [7] I.E. Segal, Ann. of Math., t. 63, 1956, p. 160. Zbl0073.09403MR77908
8. [8] J. Kupsch, Fortschr. Physik, t. 35, 1987, p. 415. MR899880
9. [9] P.A. Meyer, Éléments de Probabilités Quantitiques. IV. In Séminaire de Probabilités XX. Lecture Notes in Mathematics, 1204, Springer Verlag, Berlin, 1986. MR942022
10. [10] R.L. Hudson and K.R. Parthasarathy, Commun. Math. Phys., t. 104, 1986, p. 457. Zbl0604.60063MR840747
11. [11] K. Osterwalder, R. Schrader, Helv. Phys. Acta, t. 46, 1973, p. 277. MR366276
12. [12] J. Palmer, J. Funct. Anal., t. 36, 1980, p. 287. Zbl0436.60078MR571410
13. [13] P. Chernoff, J. Marsden, Properties of Infinite Dimensional Hamiltonian Systems. Lectures Notes in Mathematics, 425, Springer Verlag, Berlin, 1974. Zbl0301.58016MR650113
14. [14] Yu. M. Berezanskii, Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables. American Math. Soc., Providence, 1986. Zbl0596.47019MR835705
15. [15] I.M. Gelfand, N. Ya. VILENKIN, Generalized Functions. Vol. IV. Academic Press, New York, 1964. 
16. [16] Y. Yamasaki, Measures on Infinite Dimensional Spaces. World Scientific, Singapore, 1985. Zbl0591.28012MR999137
17. [17] T. Hida, Brownian Motion. Springer Verlag, New York, 1980. Zbl0432.60002MR562914
18. [18] J. Schwinger, Phys. Rev., t. 115, 1959, p. 721. Zbl0087.23202MR111498
19. [19] L. Alvarez-Gaumé, An Introduction to Anomalies. In G. Velo, A. S. Wightman (Eds.): Fundamental Problems of Gauge Field Theory, NATO ASI Series B141, Plenum Press, New York, 1986. MR878768