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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F13%3A10190948%21RIV14-MSM-11320___
rdf:type
n5:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1016/j.nuclphysb.2013.04.012
dcterms: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.
dcterms:title
Leading logarithms in N-flavour mesonic Chiral Perturbation Theory Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
skos:prefLabel
Leading logarithms in N-flavour mesonic Chiral Perturbation Theory Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
skos:notation
RIV/00216208:11320/13:10190948!RIV14-MSM-11320___
n5:predkladatel
n19:orjk%3A11320
n3:aktivita
n7:Z n7:S n7:I
n3:aktivity
I, S, Z(MSM0021620859)
n3:cisloPeriodika
1
n3:dodaniDat
n8:2014
n3:domaciTvurceVysledku
n10:1426508
n3:druhVysledku
n15:J
n3:duvernostUdaju
n21:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
84493
n3:idVysledku
RIV/00216208:11320/13:10190948
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Meson-meson interactions; Chiral Lagrangians; Spontaneous and radiative symmetry breaking; Renormalization group evolution of parameters
n3:klicoveSlovo
n17:Spontaneous%20and%20radiative%20symmetry%20breaking n17:Meson-meson%20interactions n17:Renormalization%20group%20evolution%20of%20parameters n17:Chiral%20Lagrangians
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[3F442CC4D25B]
n3:nazevZdroje
Nuclear Physics B
n3:obor
n13:BF
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n8:2013
n3:svazekPeriodika
873
n3:tvurceVysledku
Bijnens, Johan Lanz, Stefan Kampf, Karol
n3:wos
000319794000005
n3:zamer
n20:MSM0021620859
s:issn
0550-3213
s:numberOfPages
28
n4:doi
10.1016/j.nuclphysb.2013.04.012
n16:organizacniJednotka
11320