Titlebook: General Principles of Quantum Field Theory; N. N. Bogolubov,A. A. Logunov,I. T. Todorov Book 1990 Kluwer Academic Publishers 1990 Cross se

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The ,-Matrix Methodof formal variational derivatives makes the derivation of the various reduction formulae an automatic operation.) Another essential feature of the .-matrix method is that it is well suited to the treatment of the dynamical equations of quantum field theory (see, for example, [Z1]).

招待

Book 1990 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, ther

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interior

The Technique of Generalized Functionsthe arguments, was long ago felt to be restrictive. Important notions of classical physics such as the density of a point mass or charge, are not built in to this ordinary notion of function. In quantum mechanics and quantum field theory, such “singular” or “improper” functions as .(.) (the Dirac de

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Relativistic Invariance in Quantum Theory is, transformations such that (.’ ? .’). = (. ? .). for all .,. ∈ .. Each transformation of ρ automatically turns out to be an inhomogeneous linear (that is, affine) transformation; more precisely, it has the form. where . is a fixed vector of . and Λ is a transformation of the general Lorentz grou

insightful

The Wightman Formalism of “physical” states, one of its properties being the capability of distinguishing the elements of A. The Hermitian elements of A play the role of generalized variables which, in principle, can be measured experimentally (hence the terminology “algebra of observables”). We now single out the class

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Analytic Properties of Wightman Functions in Coordinate Space.) of ζ.,…, ζ. that are holomorphic in the past tubes . (8.41). It turns out that the combination of the spectrum property and Lorentz-invariance provides extra information about analyticity, in particular, it allows one to continue the functions analytically to a wider domain (called the extended t

echnic

Fields in an Indefinite Metric”) state (not unlike the way one uses representations to organize the physical states of quantum systems). The notion of a virtual state can be illustrated by the following “classical” example. As is well known, the state of a free classical electromagnetic field in space-time . is defined by the st

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Haag-Ruelle Scattering Theorysion theory. According to §7.3.E, this requires the Fock space H of (asymptotically) free particles and two Poincaré-invariant isometric operators Ω. and Ω. from H to the physical Hilbert space .. (We shall use the common notation Ω., where the symbol ex takes the two values: in and out).*