Chiral Logarithms Tamed

Details Chiral Logarithms Tamed Chiral Logarithms Tamed

2008-09-19

arxiv.org/abs/0809.3236v1

Phys.Rev.Lett.101:262001,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages

Scientific paper

10.1103/PhysRevLett.101.262001

We derive non-linear recursion relations for the leading chiral logarithms (LLs). 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 the chiral perturbation theory only, it is pertinent for any non-renormalizable effective field theory such as, for instance, the theory of critical phenomena, the low-energy quantum gravity, etc.

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