Bochum 2009 – scientific programme

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HK: Fachverband Hadronen und Kerne

HK 34: Hadron Structure and Spectroscopy I

HK 34.2: Talk

Tuesday, March 17, 2009, 17:00–17:15, H-ZO 20

Chiral logarithms tamed — Nikolai Kivel^1,2, Maxim Polyakov^1,2, and •Alexei Vladimirov^2,3 — ¹Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188350, Russia — ²Institute for Theoretical Physics II, Ruhr University Bochum, 44780 Bochum, Germany — ³Bogolubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia

We derive non-linear recursion relations for the leading chiral logarithms (LLs). These relations provide not only very efficient method to compute LLs (e.g. the 33-loop contribution is calculated in dozens of seconds on a PC) but equip us with a powerful tool to sum up the LLs. Our method is not limited to the chiral perturbation theory, it is pertinent for any non-renormalizable effective feld theory such as, for instance, theory of critical phenomena, low-energy quantum gravity, etc.

In the present talk this method would be considered on the example of pion-pion scattering.