Understand
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.
Built on
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J. Gasser, H. Leutwyler, Annals Phys. 158
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J. Bijnens, G. Colangelo, G. Ecker, J. Gasser and M. E. Sainio, Nucl. Phys. B 508
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N. Kivel and M. V. Polyakov, Phys. Lett. B 664
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Closest in time.
N. Kivel, M. V. Polyakov and A. Vladimirov, arXiv:0809.2064 [hep-ph]
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Closest in time.
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