Nonplanar Cusp and Transcendental Anomalous Dimension at Four Loops in N=4 Supersymmetric Yang-Mills Theory
We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N = 4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous...
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| Veröffentlicht in: | Physical review letters 2021-02, Vol.126 (6), p.061603-061603, Article 061603 |
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| container_title | Physical review letters |
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| creator | Kniehl, B. A. Velizhanin, V. N. |
| description | We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N = 4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental zeta(3) and zeta(5) parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. As for the lightlike cusp anomalous dimension and the zeta(5) part of the universal anomalous dimension, we confirm previous results. |
| doi_str_mv | 10.1103/PhysRevLett.126.061603 |
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A. ; Velizhanin, V. N.</creator><creatorcontrib>Kniehl, B. A. ; Velizhanin, V. N.</creatorcontrib><description>We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N = 4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental zeta(3) and zeta(5) parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. 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As for the lightlike cusp anomalous dimension and the zeta(5) part of the universal anomalous dimension, we confirm previous results.</description><subject>Cusps</subject><subject>Physical Sciences</subject><subject>Physics</subject><subject>Physics, Multidisciplinary</subject><subject>Science & Technology</subject><subject>Supersymmetry</subject><subject>Yang-Mills theory</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>HGBXW</sourceid><recordid>eNqNkUFv1DAUhC0EotvCX6gscUFCWZ7txE4OHKpAKdJSECwHTpGTvFCXxE5th2r_PW63VFVP-GLZ_ubJM0PIMYM1YyDefr3YhW_4Z4MxrhmXa5BMgnhCVgxUlSnG8qdkBSBYVgGoA3IYwiUAJLR8Tg6EkKKQFazI73Nn51Fb7Wm9hJlq29Ot1zZ0aHu0UY_0xLpJj24J9L2Z0AbjLNWRnrrF041zc6DG0vN3Of2-zOjDbpowetPRn9r-yj6bcQx0e4HO716QZ4MeA76824_Ij9MP2_os23z5-Kk-2WSdEFXMBIO2k6jbFrkQRc55OoPgashRtYAs3eUivfSlqno9gGJlrvpCqnaAlmtxRF7v587eXS0YYjOZ5GdMNjHZaHhe5bxMQbGEvnqEXiZbNv3ulqoKBUWVKLmnOu9C8Dg0szeT9ruGQXNTR_OgjiZl3OzrSMLju_FLO2F_L_uXfwLKPXCNrRtCZ9B2eI-lwiRTJXC4WUVtoo4p_dotNibpm_-Xir9O5qkn</recordid><startdate>20210212</startdate><enddate>20210212</enddate><creator>Kniehl, B. 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N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonplanar Cusp and Transcendental Anomalous Dimension at Four Loops in N=4 Supersymmetric Yang-Mills Theory</atitle><jtitle>Physical review letters</jtitle><stitle>PHYS REV LETT</stitle><addtitle>Phys Rev Lett</addtitle><date>2021-02-12</date><risdate>2021</risdate><volume>126</volume><issue>6</issue><spage>061603</spage><epage>061603</epage><pages>061603-061603</pages><artnum>061603</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N = 4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental zeta(3) and zeta(5) parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. 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| source | American Physical Society Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Cusps Physical Sciences Physics Physics, Multidisciplinary Science & Technology Supersymmetry Yang-Mills theory |
| title | Nonplanar Cusp and Transcendental Anomalous Dimension at Four Loops in N=4 Supersymmetric Yang-Mills Theory |
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