On-shell methods for the two-loop dilatation operator and finite remainders

Florian Loebbert; Dhritiman Nandan; Christoph Sieg; Matthias Wilhelm; Gang Yang

doi:10.1007/JHEP10(2015)012

On-shell methods for the two-loop dilatation operator and finite remainders

Florian Loebbert, Dhritiman Nandan^*, Christoph Sieg, Matthias Wilhelm, Gang Yang

^*Corresponding author af dette arbejde

35 Citationer (Scopus)

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Abstract

Abstract: We compute the two-loop minimal form factors of all operators in the SU(2) sector of planar N=4$$ \mathcal{N}=4 $$ SYM theory via on-shell unitarity methods. From the UV diver-gence of this result, we obtain the two-loop dilatation operator in this sector. Furthermore, we calculate the corresponding finite remainder functions. Since the operators break the supersymmetry, the remainder functions do not have the property of uniform transcen-dentality. However, the leading transcendentality part turns out to be universal and is identical to the corresponding BPS expression. The remainder functions are shown to satisfy linear relations which can be explained by Ward identities of form factors following from R-symmetry.

Originalsprog	Engelsk
Artikelnummer	12
Tidsskrift	Journal of High Energy Physics
Vol/bind	2015
Udgave nummer	10
Antal sider	24
ISSN	1126-6708
DOI	https://doi.org/10.1007/JHEP10(2015)012
Status	Udgivet - 1 okt. 2015
Udgivet eksternt	Ja

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10.1007/JHEP10(2015)012

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abstract = "Abstract: We compute the two-loop minimal form factors of all operators in the SU(2) sector of planar N=4$$ \mathcal{N}=4 $$ SYM theory via on-shell unitarity methods. From the UV diver-gence of this result, we obtain the two-loop dilatation operator in this sector. Furthermore, we calculate the corresponding finite remainder functions. Since the operators break the supersymmetry, the remainder functions do not have the property of uniform transcen-dentality. However, the leading transcendentality part turns out to be universal and is identical to the corresponding BPS expression. The remainder functions are shown to satisfy linear relations which can be explained by Ward identities of form factors following from R-symmetry.",

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AU - Loebbert, Florian

AU - Nandan, Dhritiman

AU - Sieg, Christoph

AU - Wilhelm, Matthias

AU - Yang, Gang

PY - 2015/10/1

Y1 - 2015/10/1

N2 - Abstract: We compute the two-loop minimal form factors of all operators in the SU(2) sector of planar N=4$$ \mathcal{N}=4 $$ SYM theory via on-shell unitarity methods. From the UV diver-gence of this result, we obtain the two-loop dilatation operator in this sector. Furthermore, we calculate the corresponding finite remainder functions. Since the operators break the supersymmetry, the remainder functions do not have the property of uniform transcen-dentality. However, the leading transcendentality part turns out to be universal and is identical to the corresponding BPS expression. The remainder functions are shown to satisfy linear relations which can be explained by Ward identities of form factors following from R-symmetry.

AB - Abstract: We compute the two-loop minimal form factors of all operators in the SU(2) sector of planar N=4$$ \mathcal{N}=4 $$ SYM theory via on-shell unitarity methods. From the UV diver-gence of this result, we obtain the two-loop dilatation operator in this sector. Furthermore, we calculate the corresponding finite remainder functions. Since the operators break the supersymmetry, the remainder functions do not have the property of uniform transcen-dentality. However, the leading transcendentality part turns out to be universal and is identical to the corresponding BPS expression. The remainder functions are shown to satisfy linear relations which can be explained by Ward identities of form factors following from R-symmetry.

KW - Integrable Field Theories

KW - Scattering Amplitudes

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DO - 10.1007/JHEP10(2015)012

M3 - Journal article

AN - SCOPUS:84943267661

SN - 1126-6708

VL - 2015

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

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ER -

On-shell methods for the two-loop dilatation operator and finite remainders

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