Abstract:
It is proved that Green's functions exist in the Euclidean domain for polynomial two-dimensional scalar models of the theory without spatial and time cutoffs. The theory of hypercontractive semigroups is used to prove this result.
Citation:
V. P. Gachok, N. S. Gonchar, “Existence of Green's functions in the Euclidean domain for the P(φ)2-theory”, TMF, 18:2 (1974), 174–180; Theoret. and Math. Phys., 18:2 (1974), 124–128