00 2 v 1 7 M ay 1 99 6 The : φ 44 : quantum field theory , I . Wave operator , holomorphity and Wick kernel . ∗ Edward P . Osipov
نویسنده
چکیده
With the help of the complex structure and the wave operator of the nonlinear classical Klein-Gordon equation with the interaction u4 we define the Wick kernel of the interacting quantum field in four-dimensional space-time and consider its properties. In particular, the diagonal of this Wick kernel is (real) solutions of the classical nonlinear Klein-Gordon equation with the interaction u4.
منابع مشابه
X iv : h ep - t h / 96 08 11 5 v 1 1 7 A ug 1 99 6 The : φ 44 : quantum field theory , II . Integrability of Wick kernels . ∗
We continue the construction of the : φ 4 : quantum field theory. In this paper we consider the Wick kernel of the interacting quantum field. Using the Fock– Bargmann–Berezin–Segal integral representation we prove that this kernel defines a unique operator–valued generalized function on the space Sα(IR4) for any α < 6/5, i.e. the constructed quantum field is the generalized operator-valued func...
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