Inclusive Quark Production in $e^{+}e^{-}$-Annihilation - A Path Integral Approach

Details Inclusive Quark Production in $e^{+}e^{-}$-Annihilation - A Path Integral Approach Inclusive Quark Production in $e^{+}e^{-}$-Annihilation - A Path Integral Approach

2000-09-22

arxiv.org/abs/hep-ph/0009264v1

Nucl.Phys.Proc.Suppl. 96 (2001) 69-73

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 5 pages, 2 figures, talk given at the QCD 00 Euroconference, Montpellier, 6-13 July 2000

Scientific paper

10.1016/S0920-5632(01)01110-0

The single-particle inclusive differential cross-section for a reaction $a+b\to c+X$ is written as imaginary part of a correlation function in a forward scattering amplitude for $a+b\to a+b$ in a modified effective theory. In this modified theory the interaction Hamiltonian $\tilde H_I$ equals $H_I$ of the original theory up to a certain time. Then there is a sign change and $\tilde H_I$ becomes nonlocal. This is worked out in detail for scalar field models and for QED plus the abelian gluon model. A suitable path integral for direct calculations of inclusive cross sections is presented.

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