$ \mathcal{N}=4$ Super-Yang–Mills theory, QCD and collider physics

Zvi Bern; Lance J. Dixon; David A. Kosower

doi:10.1016/j.crhy.2004.09.007

String theory and fundamental forces/Théorie des cordes et forces fondamentales

N = 4

Super-Yang–Mills theory, QCD and collider physics

Presented by: Guy Laval

Zvi Bern ¹; Lance J. Dixon ^2,³ ; David A. Kosower ⁴

¹ Department of Physics and Astronomy, UCLA, Los Angeles, CA 90095-1547, USA
² SLAC, Stanford University, Stanford, CA 94309, USA
³ IPPP, University of Durham, Durham DH1 3LE, UK
⁴ Service de physique théorique, CEA–Saclay, 91191 Gif-sur-Yvette cedex, France

Comptes Rendus. Physique, String theory and fundamental forces - Strings 04, part I, Volume 5 (2004) no. 9-10, pp. 955-964.

Abstract (Original language)
Résumé

We review how (dimensionally regulated) scattering amplitudes in $N = 4$ super-Yang–Mills theory provide a useful testing ground for perturbative QCD calculations relevant to collider physics, as well as another avenue for investigating the AdS/CFT correspondence. We describe the iterative relation for two-loop scattering amplitudes in $N = 4$ super-Yang–Mills theory found in [C. Anastasiou et al., Phys. Rev. Lett. 91 (2003) 251602], and discuss recent progress toward extending it to three loops.

Nous rappelons comment des amplitudes de diffusion (après régularisation dimensionnelle) dans la théorie de super-Yang–Mills peuvent servir de base pour tester efficacement des calculs perturbatifs pertinents pour la physique des collisionneurs, ainsi que pour étudier d'une autre manière la correspondance AdS/CFT. Nous décrivons la relation itérative pour les amplitudes de diffusion à deux boucles de la théorie de super-Yang–Mills $N = 4$ trouvée dans [C. Anastasiou et al., Phys. Rev. Lett. 91 (2003) 251602] et présentons les progrès récents vers son extension à trois boucles.

Published online: 2004-11-01

DOI: 10.1016/j.crhy.2004.09.007

Keywords: Super-Yang–Mills theory, QCD, Collider physics
Mots-clés : Théorie de super Yang–Mills, QCD, Physique des accélérateurs

Author's affiliations:

Zvi Bern ¹; Lance J. Dixon ^{2, 3}; David A. Kosower ⁴

¹ Department of Physics and Astronomy, UCLA, Los Angeles, CA 90095-1547, USA
² SLAC, Stanford University, Stanford, CA 94309, USA
³ IPPP, University of Durham, Durham DH1 3LE, UK
⁴ Service de physique théorique, CEA–Saclay, 91191 Gif-sur-Yvette cedex, France

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     author = {Zvi Bern and Lance J. Dixon and David A. Kosower},
     title = {$ \mathcal{N}=4$ {Super-Yang{\textendash}Mills} theory, {QCD} and collider physics},
     journal = {Comptes Rendus. Physique},
     pages = {955--964},
     publisher = {Elsevier},
     volume = {5},
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     year = {2004},
     doi = {10.1016/j.crhy.2004.09.007},
     language = {en},
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Zvi Bern; Lance J. Dixon; David A. Kosower. $ \mathcal{N}=4$ Super-Yang–Mills theory, QCD and collider physics. Comptes Rendus. Physique, String theory and fundamental forces - Strings 04, part I, Volume 5 (2004) no. 9-10, pp. 955-964. doi : 10.1016/j.crhy.2004.09.007. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2004.09.007/

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