QED amplitudes: recurrence relations to all orders
نویسنده
چکیده
We describe the origins of recurrence relations between field theory amplitudes in terms of the construction of Feynman diagrams. In application we derive recurrence relations for the amplitudes of QED which hold to all loop orders and for all combinations of external particles. These results may also be derived from the Schwinger-Dyson equations.
منابع مشابه
Amplitudes With Different Helicity Configurations Of Noncommutative QED
The amplitudes of purely photonic and photon–2-fermion processes of noncommutative QED (NCQED) are derived for different helicity configurations of photons. The basic ingredient is the NCQED counterpart of Yang-Mills recursion relations by means of Berends and Giele. The explicit solutions of recursion relations for NCQED photonic processes with special helicity configurations are presented.
متن کاملThree–loop QED Vacuum Polarization and the Four–loop Muon Anomalous Magnetic Moment
Three–loop contributions to massive QED vacuum polarization are evaluated by a combination of analytical and numerical techniques. The first three Taylor coefficients, at small q, are obtained analytically, using d–dimensional recurrence relations. Combining these with analytical input at threshold, and at large q, an accurate Padé approximation is obtained, for all q. Inserting this in the one...
متن کاملCancellation of Infrared Divergences in Thermal Qed
As a preliminary step, the radiation produced by a classical charged current coupled to a quantized Aμ is solved. To each order in α, all infrared divergences cancel between the virtual γ’s and the real γ’s absorbed from the plasma or emitted into the plasma. When all orders of perturbation theory are summed, the finite answer predicts a suppression of radiation with ω < αT . The analysis of QE...
متن کاملCancellation of Infrared Divergences in Qed at Nonzero Temperature H. Arthur Weldon
The radiation produced by a classical charged current coupled to a quantized Aμ is first computed. To each order in α, all infrared divergences cancel between the virtual γ’s and the real γ’s that are absorbed from or emitted into the plasma. When all orders of perturbation theory are summed, the finite answer predicts a suppression of radiation with ω < αT . The analysis of QED then consists o...
متن کاملOne loop multiphoton helicity amplitudes.
We use the solutions to the recursion relations for double-off-shell fermion currents to compute helicity amplitudes for n-photon scattering and electronpositron annihilation to photons in the massless limit of QED. The form of these solutions is simple enough to allow all of the integrations to be performed explicitly. For n-photon scattering, we find that unless n = 4, the amplitudes for the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008