English

Chiral Logarithms Tamed

High Energy Physics - Phenomenology 2010-04-21 v1 High Energy Physics - Theory Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0809.3236,
  title  = {Chiral Logarithms Tamed},
  author = {N. Kivel and M. V. Polyakov and A. Vladimirov},
  journal= {arXiv preprint arXiv:0809.3236},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T11:21:47.689Z