Prog. Theor. Phys. Vol. 39 No. 2 (1968) pp. 460-483

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Homological Study of the Generalized Singular Functions. II

— Källén Functions and Their Analyticity Properties —

Masatsugu Minami

Research Institute for Mathematical Sciences, Kyoto University, Kyoto

(Received September 7, 1967)

Abstract:

The study deals exclusively with the Källén distributions introduced in I. They are redefined as the transposed images of an invariant integral by the mappings of the space of four-momenta q_I into a space of invariants (q_I, q_I). Next we newly define Källén functions as Borel transforms of the residue form rés Ω_(n) (\tildeQ^n-1 \setminus∪_IS_I), and then their analyticity properties are investigated on the basis of similar mapping consideration.

URL : http://ptp.ipap.jp/link?PTP/39/460/
DOI : 10.1143/PTP.39.460

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Citing Article(s) :

Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 527-541 :
Representation of the Wightman Function in Terms of Two-Point Singular Functions

Masatsugu Minami
Progress of Theoretical Physics Vol. 42 No. 1 (1969) pp. 82-107 :
Vertex Functions at Large Momentum Transfer. I

Masatsugu Minami
Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 941-958 :
Vertex Functions at Large Momentum Transfer. III

Masatsugu Minami