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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F13%3A10190949%21RIV14-MSM-11320___
rdf:type
n8:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1007/JHEP05(2013)032
dcterms:description
We study in detail the general structure and further properties of the tree-level amplitudes in the SL(N) nonlinear sigma model. We construct the flavor-ordered Feyriman rules for various parameterizations of the SU(N) fields U(x), write down the Berends-Giele relations for the semi-on-shell currents and discuss their efficiency for the amplitude calculation in comparison with those of renormalizable theories. We also present an explicit form of the partial amplitudes up to ten external particles. It is well known that the standard BCFW recursive relations cannot be used for reconstruction of the the on-shell amplitudes of effective theories like the SU(N) nonlinear sigma model because of the inappropriate behavior of the deformed on-shell amplitudes at infinity. We discuss possible generalization of the BCFW approach introducing %22BCFW formula with subtractions%22 and with help of Berends-Giele relations we prove particular scaling properties of the semi-on-shell amplitudes of the SU(N) nonlinear sigma model under specific shifts of the external momenta. These results allow us to define alternative deformation of the semi-on-shell amplitudes and derive BCFW-like recursion relations. These provide a systematic and effective tool for calculation of Goldstone bosons scattering amplitudes and it also shows the possible applicability of on-shell methods to effective field theories. We also use these BCFW-like relations for the investigation of the Adler zeroes and double soft limit of the semi-on-shell amplitudes. We study in detail the general structure and further properties of the tree-level amplitudes in the SL(N) nonlinear sigma model. We construct the flavor-ordered Feyriman rules for various parameterizations of the SU(N) fields U(x), write down the Berends-Giele relations for the semi-on-shell currents and discuss their efficiency for the amplitude calculation in comparison with those of renormalizable theories. We also present an explicit form of the partial amplitudes up to ten external particles. It is well known that the standard BCFW recursive relations cannot be used for reconstruction of the the on-shell amplitudes of effective theories like the SU(N) nonlinear sigma model because of the inappropriate behavior of the deformed on-shell amplitudes at infinity. We discuss possible generalization of the BCFW approach introducing %22BCFW formula with subtractions%22 and with help of Berends-Giele relations we prove particular scaling properties of the semi-on-shell amplitudes of the SU(N) nonlinear sigma model under specific shifts of the external momenta. These results allow us to define alternative deformation of the semi-on-shell amplitudes and derive BCFW-like recursion relations. These provide a systematic and effective tool for calculation of Goldstone bosons scattering amplitudes and it also shows the possible applicability of on-shell methods to effective field theories. We also use these BCFW-like relations for the investigation of the Adler zeroes and double soft limit of the semi-on-shell amplitudes.
dcterms:title
Tree-level amplitudes in the nonlinear sigma model Tree-level amplitudes in the nonlinear sigma model
skos:prefLabel
Tree-level amplitudes in the nonlinear sigma model Tree-level amplitudes in the nonlinear sigma model
skos:notation
RIV/00216208:11320/13:10190949!RIV14-MSM-11320___
n8:predkladatel
n10:orjk%3A11320
n3:aktivita
n7:Z n7:I n7:S
n3:aktivity
I, S, Z(MSM0021620859)
n3:cisloPeriodika
5
n3:dodaniDat
n17:2014
n3:domaciTvurceVysledku
n9:7367732 n9:5936594 n9:1426508
n3:druhVysledku
n11:J
n3:duvernostUdaju
n21:S
n3:entitaPredkladatele
n5:predkladatel
n3:idSjednocenehoVysledku
111757
n3:idVysledku
RIV/00216208:11320/13:10190949
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Global Symmetries; Sigma Models; Scattering Amplitudes
n3:klicoveSlovo
n16:Global%20Symmetries n16:Scattering%20Amplitudes n16:Sigma%20Models
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[BAE5E2FA6A62]
n3:nazevZdroje
Journal of High Energy Physics
n3:obor
n18:BF
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n17:2013
n3:svazekPeriodika
1
n3:tvurceVysledku
Novotný, Jiří Trnka, Jaroslav Kampf, Karol
n3:wos
000321374400032
n3:zamer
n20:MSM0021620859
s:issn
1029-8479
s:numberOfPages
57
n15:doi
10.1007/JHEP05(2013)032
n19:organizacniJednotka
11320