Leading logarithms in N-flavour mesonic Chiral Perturbation Theory

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Leading logarithms in N-flavour mesonic Chiral Perturbation Theory

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Leading logarithms in N-flavour mesonic Chiral Perturbation Theory

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BF - Elementární částice a fyzika vysokých energií

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Nuclear Physics B

ISSN

0550-3213

e-ISSN

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Svazek periodika

873

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

28

Strana od-do

137-164

Kód UT WoS článku

000319794000005

EID výsledku v databázi Scopus

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