caa a22 4500 465809731 CHVBK 20180323112113.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02887298 doi (NATIONALLICENCE)springer-10.1007/BF02887298 Lebrun J. F.N.R.S., Faculté des Sciences, Université de Liège, Liège, Belgium aut Functional equation underlying the quantum theory of fields [Elektronische Daten] [J. Lebrun] Summary: In the case of equality of vector and axial-vector couplings, useful to investigate the problem of mass generation for spinor fields by spontaneous symmetry breaking, all one-loop two-point Green's functions appear finite. The Mellin-transformed Schwinger-Dyson integral equations reduce to a finite-difference equation solved by a confluent hypergeometric function of the reduced kinematic variable. In this paper, the limiting process from the massive spinor to the massless case is treated in detail, all subsidiary terms being bounded and expressible in terms of Appell series and generalized confluent hypergeometric series. Società Italiana di Fisica, 1990 Miscellaneous theoretical ideas and models nationallicence Field theory nationallicence Quantum theory nationallicence quantum mechanics nationallicence Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/12(1990-12-01), 1735-1742 103:12<1735 1990 103 40763 https://doi.org/10.1007/BF02887298 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02887298 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lebrun J. F.N.R.S., Faculté des Sciences, Université de Liège, Liège, Belgium aut NATIONALLICENCE 773 0- Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/12(1990-12-01), 1735-1742 103:12<1735 1990 103 40763 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer