Practical derivations of fermion and gauge boson reduction formulae in curved spacetimes
Jesse Huhtala (Laboratory of Theoretical Physics, Department of Physics and Astronomy, Faculty of Science, University of Turku, Turku, 20014, Finland); Iiro Vilja (Laboratory of Theoretical Physics, Department of Physics and Astronomy, Faculty of Science, University of Turku, Turku, 20014, Finland)
LSZ-type reduction formulae are derived for gauge fields and fermions in curved spacetime. The formulae are derived using a conserved current method applicable also to flat spacetimes. The method generalizes to more general quantum field theories. The formulae are then applied to a couple of basic problems to illustrate their use.
