N=4 supersymmetric Yang-Mills theory in soft-collinear effective theory

Junegone Chay, Jae Yong Lee

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Abstract

We formulate N=4 supersymmetric Yang-Mills theory in terms of soft-collinear effective theory. The effective Lagrangian in soft-collinear effective theory is developed according to the power counting by a small parameter ηp/Q. All the particles in this theory are in the adjoint representation of the SU(N) gauge group, and we derive the collinear gauge-invariant Lagrangian in the adjoint and fundamental representations, respectively. We consider collinear and ultrasoft Wilson lines in this theory, and show the ultrasoft factorization of the collinear Lagrangian by redefining the collinear fields with the use of the ultrasoft Wilson lines. The vertex correction for a vector fermion current at one loop is explicitly presented as an example to illustrate how the computation is performed in the effective theory.

Original languageEnglish
Article number016015
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume83
Issue number1
DOIs
Publication statusPublished - 2011 Jan 31

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Yang-Mills theory
factorization
counting
apexes
fermions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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N=4 supersymmetric Yang-Mills theory in soft-collinear effective theory. / Chay, Junegone; Lee, Jae Yong.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 83, No. 1, 016015, 31.01.2011.

Research output: Contribution to journalArticle

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