A path integral approach to inclusive processes
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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 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 \(H_I\) 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.
KeywordsCorrelation Function Imaginary Part Scalar Field Direct Calculation Integral Approach
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