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 language | English |
|---|---|
| Article number | 016015 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 83 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 Jan 31 |
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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 journal › Article
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TY - JOUR
T1 - N=4 supersymmetric Yang-Mills theory in soft-collinear effective theory
AU - Chay, Junegone
AU - Lee, Jae Yong
PY - 2011/1/31
Y1 - 2011/1/31
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79551514752&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79551514752&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.83.016015
DO - 10.1103/PhysRevD.83.016015
M3 - Article
AN - SCOPUS:79551514752
VL - 83
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 1
M1 - 016015
ER -