Tree-level amplitudes in the nonlinear sigma model

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Tree-level amplitudes in the nonlinear sigma model

Original language 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 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)

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BF - Elementary particle theory and high energy physics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

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Volume of the periodical

1

Issue of the periodical within the volume

5

Country of publishing house

DE - GERMANY

Number of pages

57

Pages from-to

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UT code for WoS article

000321374400032

EID of the result in the Scopus database

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