The Amplituhedron
A bstract Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering...
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| Veröffentlicht in: | The journal of high energy physics 2014-10, Vol.2014 (10), p.1, Article 30 |
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| container_title | The journal of high energy physics |
| container_volume | 2014 |
| creator | Arkani-Hamed, Nima Trnka, Jaroslav |
| description | A
bstract
Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a different starting point. In this note we provide such an understanding for
N
=
4
SYM scattering amplitudes in the planar limit, which we identify as “the volume” of a new mathematical object — the Amplituhedron — generalizing the positive Grassmannian. Locality and unitarity emerge hand-in-hand from positive geometry. |
| doi_str_mv | 10.1007/JHEP10(2014)030 |
| format | Article |
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bstract
Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a different starting point. In this note we provide such an understanding for
N
=
4
SYM scattering amplitudes in the planar limit, which we identify as “the volume” of a new mathematical object — the Amplituhedron — generalizing the positive Grassmannian. Locality and unitarity emerge hand-in-hand from positive geometry.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP10(2014)030</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>BASIC BIOLOGICAL SCIENCES ; Classical and Quantum Gravitation ; Elementary Particles ; Feynman graph ; gauge field theory ; High energy physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; scattering amplitude ; simplex ; String Theory ; supersymmetry: 4 ; unitarity</subject><ispartof>The journal of high energy physics, 2014-10, Vol.2014 (10), p.1, Article 30</ispartof><rights>The Author(s) 2014</rights><rights>SISSA, Trieste, Italy 2014</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c494t-c999870b7c5716f18a3423b95525c56d6937c8b0b773a713f9a71cf2fea0b6603</citedby><cites>FETCH-LOGICAL-c494t-c999870b7c5716f18a3423b95525c56d6937c8b0b773a713f9a71cf2fea0b6603</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP10(2014)030$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP10(2014)030$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>230,314,780,784,864,885,27924,27925,41120,42189,51576</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1598499$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Arkani-Hamed, Nima</creatorcontrib><creatorcontrib>Trnka, Jaroslav</creatorcontrib><creatorcontrib>Institute for Advanced Study, Princeton, NJ (United States)</creatorcontrib><creatorcontrib>Harvard Univ., Cambridge, MA (United States)</creatorcontrib><creatorcontrib>California Institute of Technology (CalTech), Pasadena, CA (United States)</creatorcontrib><title>The Amplituhedron</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a different starting point. In this note we provide such an understanding for
N
=
4
SYM scattering amplitudes in the planar limit, which we identify as “the volume” of a new mathematical object — the Amplituhedron — generalizing the positive Grassmannian. Locality and unitarity emerge hand-in-hand from positive geometry.</description><subject>BASIC BIOLOGICAL SCIENCES</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Feynman graph</subject><subject>gauge field theory</subject><subject>High energy physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>scattering amplitude</subject><subject>simplex</subject><subject>String Theory</subject><subject>supersymmetry: 4</subject><subject>unitarity</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kDFPwzAQRi0EEiUwMLEiWGAIvYvtODdWVaGgSjCU2Upch6Rqk2AnA_8eV2HownJ3w_s-nR5jNwhPCKCmb8vFB8JDAigegcMJmyAkFGdC0enRfc4uvN8CoESCCbteV_Z2tu92dT9UduPa5pKdlfnO26u_HbHP58V6voxX7y-v89kqNoJEHxsiyhQUykiFaYlZzkXCC5IykUamm5S4MlkRAMVzhbykME2ZlDaHIk2BR-xu7G19X2tv6t6ayrRNY02vUVImiAJ0P0Kda78H63u9bQfXhL80KsggARG6IzYdKeNa750tdefqfe5-NII-yNGjHH2Qo4OckIAx4QPZfFl31PtP5BcGlGJN</recordid><startdate>20141006</startdate><enddate>20141006</enddate><creator>Arkani-Hamed, Nima</creator><creator>Trnka, Jaroslav</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>Springer Berlin</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</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><scope>OIOZB</scope><scope>OTOTI</scope></search><sort><creationdate>20141006</creationdate><title>The Amplituhedron</title><author>Arkani-Hamed, Nima ; Trnka, Jaroslav</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c494t-c999870b7c5716f18a3423b95525c56d6937c8b0b773a713f9a71cf2fea0b6603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>BASIC BIOLOGICAL SCIENCES</topic><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Feynman graph</topic><topic>gauge field theory</topic><topic>High energy physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>scattering amplitude</topic><topic>simplex</topic><topic>String Theory</topic><topic>supersymmetry: 4</topic><topic>unitarity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Arkani-Hamed, Nima</creatorcontrib><creatorcontrib>Trnka, Jaroslav</creatorcontrib><creatorcontrib>Institute for Advanced Study, Princeton, NJ (United States)</creatorcontrib><creatorcontrib>Harvard Univ., Cambridge, MA (United States)</creatorcontrib><creatorcontrib>California Institute of Technology (CalTech), Pasadena, CA (United States)</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</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><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>Arkani-Hamed, Nima</au><au>Trnka, Jaroslav</au><aucorp>Institute for Advanced Study, Princeton, NJ (United States)</aucorp><aucorp>Harvard Univ., Cambridge, MA (United States)</aucorp><aucorp>California Institute of Technology (CalTech), Pasadena, CA (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Amplituhedron</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2014-10-06</date><risdate>2014</risdate><volume>2014</volume><issue>10</issue><spage>1</spage><pages>1-</pages><artnum>30</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a different starting point. In this note we provide such an understanding for
N
=
4
SYM scattering amplitudes in the planar limit, which we identify as “the volume” of a new mathematical object — the Amplituhedron — generalizing the positive Grassmannian. Locality and unitarity emerge hand-in-hand from positive geometry.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP10(2014)030</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2014-10, Vol.2014 (10), p.1, Article 30 |
| issn | 1029-8479 1029-8479 |
| language | eng |
| recordid | cdi_osti_scitechconnect_1598499 |
| source | DOAJ Directory of Open Access Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | BASIC BIOLOGICAL SCIENCES Classical and Quantum Gravitation Elementary Particles Feynman graph gauge field theory High energy physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory scattering amplitude simplex String Theory supersymmetry: 4 unitarity |
| title | The Amplituhedron |
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