Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10190948" target="_blank" >RIV/00216208:11320/13:10190948 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.nuclphysb.2013.04.012" target="_blank" >http://dx.doi.org/10.1016/j.nuclphysb.2013.04.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nuclphysb.2013.04.012" target="_blank" >10.1016/j.nuclphysb.2013.04.012</a>
Alternative languages
Result language
angličtina
Original language name
Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
Original language description
We extend earlier work on leading logarithms in the massive nonlinear O(n) sigma model to the case of SU(N) x SU(N)/SU(N) which coincides with mesonic Chiral Perturbation Theory for N flavours of light quarks. We discuss the leading logarithms for the mass and decay constant to six loops and for the vacuum expectation value ((q) over barq) to seven loops. For dynamical quantities the expressions grow extremely large much faster such that we only quote the leading logarithms to five loops for the vectorand scalar form factor and for meson-meson scattering. The last quantity we consider is the vector-vector to meson-meson amplitude where we quote results up to four loops for a subset of quantities, in particular for the pion polarizabilities. As a sideresult we provide an elementary proof that the factors of N appearing at each loop order are odd or even depending on the order and the remaining traces over external flavours. (C) 2013 Published by Elsevier B.V.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BF - Elementary particle theory and high energy physics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nuclear Physics B
ISSN
0550-3213
e-ISSN
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Volume of the periodical
873
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
28
Pages from-to
137-164
UT code for WoS article
000319794000005
EID of the result in the Scopus database
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