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Hedgehog bases for An cluster polylogarithms and an application to six-point amplitudes
A bstract Multi-loop scattering amplitudes in N = 4 Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show how to construct bases of Goncharov polylogarithm functions, at any weight, whose symbol alphabet consists of...
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| Published in: | The journal of high energy physics 2015-11, Vol.2015 (11) |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| container_issue | 11 |
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| container_title | The journal of high energy physics |
| container_volume | 2015 |
| creator | Parker, Daniel E. Scherlis, Adam Spradlin, Marcus Volovich, Anastasia |
| description | A
bstract
Multi-loop scattering amplitudes in
N
=
4
Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show how to construct bases of Goncharov polylogarithm functions, at any weight, whose symbol alphabet consists of cluster coordinates on the
A
n
cluster algebra. Using such a basis we present a new expression for the 2-loop 6-particle NMHV amplitude which makes some of its cluster structure manifest. |
| doi_str_mv | 10.1007/JHEP11(2015)136 |
| format | article |
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bstract
Multi-loop scattering amplitudes in
N
=
4
Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show how to construct bases of Goncharov polylogarithm functions, at any weight, whose symbol alphabet consists of cluster coordinates on the
A
n
cluster algebra. Using such a basis we present a new expression for the 2-loop 6-particle NMHV amplitude which makes some of its cluster structure manifest.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP11(2015)136</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Elementary Particles ; Physics ; Physics and Astronomy ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Scattering Amplitudes ; String Theory ; Supersymmetric gauge theory</subject><ispartof>The journal of high energy physics, 2015-11, Vol.2015 (11)</ispartof><rights>The Author(s) 2015</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-o153t-24a17dfa0b7bcd2435ddfd585ac7d105f0e4edbacab740b609dd3b12d44f646b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27924,27925</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1435155$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Parker, Daniel E.</creatorcontrib><creatorcontrib>Scherlis, Adam</creatorcontrib><creatorcontrib>Spradlin, Marcus</creatorcontrib><creatorcontrib>Volovich, Anastasia</creatorcontrib><creatorcontrib>Brown Univ., Providence, RI (United States)</creatorcontrib><title>Hedgehog bases for An cluster polylogarithms and an application to six-point amplitudes</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
Multi-loop scattering amplitudes in
N
=
4
Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show how to construct bases of Goncharov polylogarithm functions, at any weight, whose symbol alphabet consists of cluster coordinates on the
A
n
cluster algebra. Using such a basis we present a new expression for the 2-loop 6-particle NMHV amplitude which makes some of its cluster structure manifest.</description><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Scattering Amplitudes</subject><subject>String Theory</subject><subject>Supersymmetric gauge theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNpNkE1Lw0AQhhdRsFbPXhdPeojOJLtJcyyltUpBD4rHZb-Sbkl3Q3YL-u9NqQcPwwy8Dy_DQ8gtwiMCVE-v6-U74n0OyB-wKM_IBCGvsxmr6vN_9yW5inEHI4U1TMjX2prWbkNLlYw20iYMdO6p7g4x2YH2ofvpQisHl7b7SKU341DZ953TMrngaQo0uu-sD84nKvdjkA7Gxmty0cgu2pu_PSWfq-XHYp1t3p5fFvNNFpAXKcuZxMo0ElSltMlZwY1pDJ9xqSuDwBuwzBoltVQVA1VCbUyhMDeMNSUrVTEld6feEJMTUbtk9VYH761OAsc-5HyE4ATFfnC-tYPYhcPgx78EgjjaEyd74mhPjPaKX_3IZFU</recordid><startdate>20151120</startdate><enddate>20151120</enddate><creator>Parker, Daniel E.</creator><creator>Scherlis, Adam</creator><creator>Spradlin, Marcus</creator><creator>Volovich, Anastasia</creator><general>Springer Berlin Heidelberg</general><general>Springer Berlin</general><scope>C6C</scope><scope>OIOZB</scope><scope>OTOTI</scope></search><sort><creationdate>20151120</creationdate><title>Hedgehog bases for An cluster polylogarithms and an application to six-point amplitudes</title><author>Parker, Daniel E. ; Scherlis, Adam ; Spradlin, Marcus ; Volovich, Anastasia</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-o153t-24a17dfa0b7bcd2435ddfd585ac7d105f0e4edbacab740b609dd3b12d44f646b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>Scattering Amplitudes</topic><topic>String Theory</topic><topic>Supersymmetric gauge theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Parker, Daniel E.</creatorcontrib><creatorcontrib>Scherlis, Adam</creatorcontrib><creatorcontrib>Spradlin, Marcus</creatorcontrib><creatorcontrib>Volovich, Anastasia</creatorcontrib><creatorcontrib>Brown Univ., Providence, RI (United States)</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Parker, Daniel E.</au><au>Scherlis, Adam</au><au>Spradlin, Marcus</au><au>Volovich, Anastasia</au><aucorp>Brown Univ., Providence, RI (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hedgehog bases for An cluster polylogarithms and an application to six-point amplitudes</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2015-11-20</date><risdate>2015</risdate><volume>2015</volume><issue>11</issue><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
Multi-loop scattering amplitudes in
N
=
4
Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show how to construct bases of Goncharov polylogarithm functions, at any weight, whose symbol alphabet consists of cluster coordinates on the
A
n
cluster algebra. Using such a basis we present a new expression for the 2-loop 6-particle NMHV amplitude which makes some of its cluster structure manifest.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP11(2015)136</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2015-11, Vol.2015 (11) |
| issn | 1029-8479 1029-8479 |
| language | eng |
| recordid | cdi_osti_scitechconnect_1435155 |
| source | Publicly Available Content Database (Proquest) (PQ_SDU_P3); Springer Nature - SpringerLink Journals - Fully Open Access |
| subjects | Classical and Quantum Gravitation Elementary Particles Physics Physics and Astronomy PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering Amplitudes String Theory Supersymmetric gauge theory |
| title | Hedgehog bases for An cluster polylogarithms and an application to six-point amplitudes |
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