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General Principles of Quantum Field Theory (Paperback, Softcover reprint of the original 1st ed. 1990)
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General Principles of Quantum Field Theory (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: Mathematical Physics and Applied Mathematics, 10
Expected to ship within 10 - 15 working days
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The majority of the "memorable" results of relativistic quantum
theory were obtained within the framework of the local quantum
field approach. The explanation of the basic principles of the
local theory and its mathematical structure has left its mark on
all modern activity in this area. Originally, the axiomatic
approach arose from attempts to give a mathematical meaning to the
quantum field theory of strong interactions (of Yukawa type). The
fields in such a theory are realized by operators in Hilbert space
with a positive Poincare-invariant scalar product. This "classical"
part of the axiomatic approach attained its modern form as far back
as the sixties. * It has retained its importance even to this day,
in spite of the fact that nowadays the main prospects for the
description of the electro-weak and strong interactions are in
connection with the theory of gauge fields. In fact, from the point
of view of the quark model, the theory of strong interactions of
Wightman type was obtained by restricting attention to just the
"physical" local operators (such as hadronic fields consisting of
''fundamental'' quark fields) acting in a Hilbert space of physical
states. In principle, there are enough such "physical" fields for a
description of hadronic physics, although this means that one must
reject the traditional local Lagrangian formalism. (The connection
is restored in the approximation of low-energy "phe nomenological"
Lagrangians."
General
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