Integrability in Yang-Mills theory on the light cone beyond leading order

Andrei Belitsky; G. P. Korchemsky; D. Müller

doi:10.1103/PhysRevLett.94.151603

Integrability in Yang-Mills theory on the light cone beyond leading order

Andrei Belitsky, G. P. Korchemsky, D. Müller

CLAS-NS: Physics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

The one-loop dilatation operator in Yang-Mills theory possesses a hidden integrability symmetry in the sector of maximal-helicity Wilson operators. We calculate two-loop corrections to the dilatation operator and demonstrate that, while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the ajoint SU(N_c) matter it survives the conformal symmetry breaking and persists in supersymmetric N = 1, N = 2, and N = 4 Yang-Mills theories.

Original language	English (US)
Article number	151603
Journal	Physical Review Letters
Volume	94
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.94.151603
State	Published - Apr 22 2005

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1103/PhysRevLett.94.151603

Fingerprint Dive into the research topics of 'Integrability in Yang-Mills theory on the light cone beyond leading order'. Together they form a unique fingerprint.

Cite this

@article{0837846721dd46b0afe0ddf2e7dfea70,

title = "Integrability in Yang-Mills theory on the light cone beyond leading order",

abstract = "The one-loop dilatation operator in Yang-Mills theory possesses a hidden integrability symmetry in the sector of maximal-helicity Wilson operators. We calculate two-loop corrections to the dilatation operator and demonstrate that, while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the ajoint SU(Nc) matter it survives the conformal symmetry breaking and persists in supersymmetric N = 1, N = 2, and N = 4 Yang-Mills theories.",

author = "Andrei Belitsky and Korchemsky, {G. P.} and D. M{\"u}ller",

year = "2005",

month = apr,

day = "22",

doi = "10.1103/PhysRevLett.94.151603",

language = "English (US)",

volume = "94",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "15",

}

TY - JOUR

T1 - Integrability in Yang-Mills theory on the light cone beyond leading order

AU - Belitsky, Andrei

AU - Korchemsky, G. P.

AU - Müller, D.

PY - 2005/4/22

Y1 - 2005/4/22

N2 - The one-loop dilatation operator in Yang-Mills theory possesses a hidden integrability symmetry in the sector of maximal-helicity Wilson operators. We calculate two-loop corrections to the dilatation operator and demonstrate that, while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the ajoint SU(Nc) matter it survives the conformal symmetry breaking and persists in supersymmetric N = 1, N = 2, and N = 4 Yang-Mills theories.

AB - The one-loop dilatation operator in Yang-Mills theory possesses a hidden integrability symmetry in the sector of maximal-helicity Wilson operators. We calculate two-loop corrections to the dilatation operator and demonstrate that, while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the ajoint SU(Nc) matter it survives the conformal symmetry breaking and persists in supersymmetric N = 1, N = 2, and N = 4 Yang-Mills theories.

UR - http://www.scopus.com/inward/record.url?scp=18244388973&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18244388973&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.94.151603

DO - 10.1103/PhysRevLett.94.151603

M3 - Article

AN - SCOPUS:18244388973

VL - 94

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 15

M1 - 151603

ER -