About: Leading logarithms in N-flavour mesonic Chiral Perturbation Theory     Goto   Sponge   NotDistinct   Permalink

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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
http://linked.open...avai/riv/aktivity
  • I, S, Z(MSM0021620859)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 84493
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10190948
http://linked.open...riv/jazykVysledku
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
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
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
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
issn
  • 0550-3213
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.nuclphysb.2013.04.012
http://localhost/t...ganizacniJednotka
  • 11320
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