A Path Integral Approach to Inclusive Processes

Details A Path Integral Approach to Inclusive Processes A Path Integral Approach to Inclusive Processes

2000-02-24

arxiv.org/abs/hep-ph/0002251v4

Eur.Phys.J.C16:665-676,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, LaTeX, 5 figures

Scientific paper

10.1007/s100520000439

The single-particle inclusive differential cross-section for a reaction $a+b\to c+X$ is written as the imaginary part of a correlation function in a for ward scattering amplitude for $a+b\to a+b$ in a modified effective theory. In this modified theory the interaction Hamiltonian $\tilde H_I$ equals $H_I$ in 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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