About: Leading logarithms in N-flavour mesonic Chiral Perturbation Theory

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1016/j.nuclphysb.2013.04.012
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 vector and 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 side result 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. 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 vector and 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 side result 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. (en)
Title	Leading logarithms in N-flavour mesonic Chiral Perturbation Theory Leading logarithms in N-flavour mesonic Chiral Perturbation Theory (en)
skos:prefLabel	Leading logarithms in N-flavour mesonic Chiral Perturbation Theory Leading logarithms in N-flavour mesonic Chiral Perturbation Theory (en)
skos:notation	RIV/00216208:11320/13:10190948!RIV14-MSM-11320___
http://linked.open...avai/riv/aktivita	I S Z
http://linked.open...avai/riv/aktivity	I, S, Z(MSM0021620859)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Kampf, Karol
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	84493
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10190948
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Meson-meson interactions; Chiral Lagrangians; Spontaneous and radiative symmetry breaking; Renormalization group evolution of parameters (en)
http://linked.open.../riv/klicoveSlovo	Chiral Lagrangians Renormalization group evolution of parameters Spontaneous and radiative symmetry breaking Meson-meson interactions
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[3F442CC4D25B]
http://linked.open...i/riv/nazevZdroje	Nuclear Physics B
http://linked.open...in/vavai/riv/obor	BF
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	873
http://linked.open...iv/tvurceVysledku	Kampf, Karol Bijnens, Johan Lanz, Stefan
http://linked.open...ain/vavai/riv/wos	000319794000005
http://linked.open...n/vavai/riv/zamer	Výzkum vlastností jader a subjaderných částic a jejich interakcí
issn	0550-3213
number of pages	28 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.nuclphysb.2013.04.012
http://localhost/t...ganizacniJednotka	11320

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