Chiral logarithms in the massless limit tamed.
We derive nonlinear recursion relations for the leading chiral logarithms (LLs) in massless theories. These relations not only provide a very efficient method of computation of LLs (e.g., the 33-loop contribution is calculated in a dozen of seconds on a PC) but also equip us with a powerful tool for the summation of the LLs. Our method is not limited to chiral perturbation theory only; it is pertinent to any nonrenormalizable effective field theory such as, for instance, the theory of critical phenomena, low-energy quantum gravity, etc.
Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188350, Russia.
Nikolai
N
Kivel
Maxim V
MV
Polyakov
Alexei
A
Vladimirov