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

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Standard

On-shell methods for the two-loop dilatation operator and finite remainders. / Loebbert, Florian; Nandan, Dhritiman; Sieg, Christoph; Wilhelm, Matthias; Yang, Gang.

In: Journal of High Energy Physics, Vol. 2015, No. 10, 12, 01.10.2015.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Loebbert, F, Nandan, D, Sieg, C, Wilhelm, M & Yang, G 2015, 'On-shell methods for the two-loop dilatation operator and finite remainders', Journal of High Energy Physics, vol. 2015, no. 10, 12. https://doi.org/10.1007/JHEP10(2015)012

APA

Loebbert, F., Nandan, D., Sieg, C., Wilhelm, M., & Yang, G. (2015). On-shell methods for the two-loop dilatation operator and finite remainders. Journal of High Energy Physics, 2015(10), [12]. https://doi.org/10.1007/JHEP10(2015)012

Vancouver

Loebbert F, Nandan D, Sieg C, Wilhelm M, Yang G. On-shell methods for the two-loop dilatation operator and finite remainders. Journal of High Energy Physics. 2015 Oct 1;2015(10). 12. https://doi.org/10.1007/JHEP10(2015)012

Author

Loebbert, Florian ; Nandan, Dhritiman ; Sieg, Christoph ; Wilhelm, Matthias ; Yang, Gang. / On-shell methods for the two-loop dilatation operator and finite remainders. In: Journal of High Energy Physics. 2015 ; Vol. 2015, No. 10.

Bibtex

@article{36a7c113376c462e9637d099610bdf57,
title = "On-shell methods for the two-loop dilatation operator and finite remainders",
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.",
keywords = "Integrable Field Theories, Scattering Amplitudes",
author = "Florian Loebbert and Dhritiman Nandan and Christoph Sieg and Matthias Wilhelm and Gang Yang",
year = "2015",
month = oct,
day = "1",
doi = "10.1007/JHEP10(2015)012",
language = "English",
volume = "2015",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "10",

}

RIS

TY - JOUR

T1 - On-shell methods for the two-loop dilatation operator and finite remainders

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

UR - http://www.scopus.com/inward/record.url?scp=84943267661&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2015)012

DO - 10.1007/JHEP10(2015)012

M3 - Journal article

AN - SCOPUS:84943267661

VL - 2015

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 10

M1 - 12

ER -

ID: 227488727