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The Canonical Operator in Many-Particle Problems and Quantum Field Theory (Hardcover)
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The Canonical Operator in Many-Particle Problems and Quantum Field Theory (Hardcover)
Series: De Gruyter Expositions in Mathematics
Expected to ship within 10 - 15 working days
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In this monograph we study the problem of construction of
asymptotic solutions of equations for functions whose number of
arguments tends to infinity as the small parameter tends to zero.
Such equations arise in statistical physics and in quantum theory
of a large number of fi elds. We consider the problem of
renormalization of quantum field theory in the Hamiltonian
formalism, which encounters additional difficulties related to the
Stuckelberg divergences and the Haag theorem. Asymptotic methods
for solving pseudodifferential equations with small parameter
multiplying the derivatives, as well as the asymptotic methods
developed in the present monograph for solving problems in
statistical physics and quantum field theory, can be considered
from a unified viewpoint if one introduces the notion of abstract
canonical operator. The book can be of interest for researchers -
specialists in asymptotic methods, statistical physics, and quantum
fi eld theory as well as for graduate and undergraduate students of
these specialities.
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