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Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4 SYM
A bstract In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in N = 4 SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor par...
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| Published in: | The journal of high energy physics 2017-04, Vol.2017 (4) |
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| Language: | English |
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| container_title | The journal of high energy physics |
| container_volume | 2017 |
| creator | Bork, L. V. Onishchenko, A. I. |
| description | A
bstract
In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in
N
=
4
SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHV
n
, NMHV
4
and NMHV
5
off-shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown that the (deformed) off-shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary
g
l
4
|
4
super spin chain. |
| doi_str_mv | 10.1007/JHEP04(2017)019 |
| format | article |
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bstract
In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in
N
=
4
SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHV
n
, NMHV
4
and NMHV
5
off-shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown that the (deformed) off-shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary
g
l
4
|
4
super spin chain.</description><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP04(2017)019</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Amplitudes ; Classical and Quantum Gravitation ; Elementary Particles ; Form factors ; Gluons ; Helicity ; High energy physics ; Integrals ; Invariants ; Inverse scattering ; Momentum ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Representations ; String Theory</subject><ispartof>The journal of high energy physics, 2017-04, Vol.2017 (4)</ispartof><rights>The Author(s) 2017</rights><rights>The Author(s) 2017. This work is published under https://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/1891472368/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/1891472368?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,75126</link.rule.ids></links><search><creatorcontrib>Bork, L. V.</creatorcontrib><creatorcontrib>Onishchenko, A. I.</creatorcontrib><title>Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4 SYM</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in
N
=
4
SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHV
n
, NMHV
4
and NMHV
5
off-shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown that the (deformed) off-shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary
g
l
4
|
4
super spin chain.</description><subject>Amplitudes</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Form factors</subject><subject>Gluons</subject><subject>Helicity</subject><subject>High energy physics</subject><subject>Integrals</subject><subject>Invariants</subject><subject>Inverse scattering</subject><subject>Momentum</subject><subject>Physics</subject><subject>Physics and Astronomy</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>Representations</subject><subject>String Theory</subject><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNpNkEFLw0AQhRdBsFbPXhe8KBidnWyyycGDlNoq1Qoq4mmZmN2Ykm7SbOLvNyUePA28-XgPPsbOBFwLAHXzuJy_gLxAEOoSRHrAJgIwDRKp0iN27P0GQEQihQlbf5SVrx2vSmf8FV-05P2WnCvJeU4u5wX1heGl-6F2yDpeWxv4b1NVnLZNVXZ9bvzw5s-3kr9-Pp2wQ0uVN6d_d8re7-dvs2WwWi8eZneroEGUXRAhQpREYDCWRmJmFJBQgmJSGWQSJKJA9ZUTWZmkiFksLWS5RKNsRmDDKTsfe5u23vXGd3pT960bJrVIUiEVhnEyUDBSvmlLV5j2HwV6r0qPqvRelR5Uhb955FzD</recordid><startdate>20170404</startdate><enddate>20170404</enddate><creator>Bork, L. V.</creator><creator>Onishchenko, A. I.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20170404</creationdate><title>Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4 SYM</title><author>Bork, L. V. ; Onishchenko, A. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p224t-52205850e264e42be70a171a6a7b0b40422127cdaaf48922b64f0bd42e7fba0f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Amplitudes</topic><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Form factors</topic><topic>Gluons</topic><topic>Helicity</topic><topic>High energy physics</topic><topic>Integrals</topic><topic>Invariants</topic><topic>Inverse scattering</topic><topic>Momentum</topic><topic>Physics</topic><topic>Physics and Astronomy</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>Representations</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bork, L. V.</creatorcontrib><creatorcontrib>Onishchenko, A. I.</creatorcontrib><collection>SpringerOpen website</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Database (1962 - current)</collection><collection>ProQuest Central</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bork, L. V.</au><au>Onishchenko, A. I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4 SYM</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2017-04-04</date><risdate>2017</risdate><volume>2017</volume><issue>4</issue><eissn>1029-8479</eissn><abstract>A
bstract
In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in
N
=
4
SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHV
n
, NMHV
4
and NMHV
5
off-shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown that the (deformed) off-shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary
g
l
4
|
4
super spin chain.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP04(2017)019</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2017-04, Vol.2017 (4) |
| issn | 1029-8479 |
| language | eng |
| recordid | cdi_proquest_journals_1891472368 |
| source | Publicly Available Content Database; Springer Nature - SpringerLink Journals - Fully Open Access |
| subjects | Amplitudes Classical and Quantum Gravitation Elementary Particles Form factors Gluons Helicity High energy physics Integrals Invariants Inverse scattering Momentum Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Representations String Theory |
| title | Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4 SYM |
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