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Calculation of Feynman diagrams in space and time by stationary phase
Author(s) -
Gutzwiller M.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301771
Subject(s) - propagator , feynman diagram , phase space , fourier transform , bessel function , physics , momentum (technical analysis) , space (punctuation) , space time , mathematical physics , position and momentum space , mathematics , mathematical analysis , quantum mechanics , computer science , finance , chemical engineering , engineering , economics , operating system
Feynman diagrams are usually derived in relativistic space and time, and then immediately converted into energy and momentum by a Fourier transform. A method is proposed that allows keeping the external vertices at fixed locations and finite times, while the internal vertices are integrated in space‐time as well. Propagators between the vertices are the well‐known Bessel functions of the relativistic distance. The example of the Compton effect is worked out.