Tree-level amplitudes in the nonlinear sigma model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10190949" target="_blank" >RIV/00216208:11320/13:10190949 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/JHEP05(2013)032" target="_blank" >http://dx.doi.org/10.1007/JHEP05(2013)032</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP05(2013)032" target="_blank" >10.1007/JHEP05(2013)032</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Tree-level amplitudes in the nonlinear sigma model

Popis výsledku v původním jazyce

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 iswell 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 "BCFW formula with subtractions" and with help of Berends-Giele relations we prove particular scaling properties of the semi-on-shell amplitudes of the SU(N)

Název v anglickém jazyce

Tree-level amplitudes in the nonlinear sigma model

Popis výsledku anglicky

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 iswell 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 "BCFW formula with subtractions" and with help of Berends-Giele relations we prove particular scaling properties of the semi-on-shell amplitudes of the SU(N)

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

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

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Svazek periodika

1

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

57

Strana od-do

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Kód UT WoS článku

000321374400032

EID výsledku v databázi Scopus

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