The definitions of scattering matrix and inclusive scattering matrix in the
    framework of formulation of quantum field theory in terms of associative
    algebras with involution are presented. The scattering matrix is expressed in
    terms of Green functions on shell (LSZ formula) and the inclusive scattering
    matrix is expressed in terms of generalized Green functions on shell. The
    expression for inclusive scattering matrix can be used also for quasi-particles
    (for elementary excitations of any translation-invariant stationary state, for
    example, for elementary excitations of equilibrium state.) An interesting
    novelty is the consideration of associative algebras over real numbers.

    Source link


    Leave A Reply