Constraints and generalized gauge transformations on tree-level gluon and graviton amplitudes
Writing the fully color dressed and graviton amplitudes, respectively, as and , where is a set of Kleiss-Kuijf color ordered basis, , and are the similarly ordered numerators and color coefficients, we show that the propagator matrix M has ( n − 3)( n − 3)! independent eigenvectors with zero eigenva...
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| Veröffentlicht in: | The journal of high energy physics 2010-11, Vol.2010 (11), Article 28 |
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| creator | Vaman, Diana Yao, York-Peng |
| description | Writing the fully color dressed and graviton amplitudes, respectively, as
and
,
where
is a set of Kleiss-Kuijf color ordered basis,
,
and
are the similarly ordered numerators and color coefficients, we show that the propagator matrix
M
has (
n
− 3)(
n
− 3)! independent eigenvectors
with zero eigenvalue, for
n
-particle processes. The resulting equations
are relations among the color ordered amplitudes. The freedom to shift
and similarly for
where
f
j
are (
n
− 3)(
n
− 3)! arbitrary functions, encodes generalized gauge transformations. They yield both BCJ amplitude and KLT relations, when such freedom is accounted for. Furthermore,
f
j
can be promoted to the role of effective Lagrangian vertices in the field operator space. |
| doi_str_mv | 10.1007/JHEP11(2010)028 |
| format | Article |
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and
,
where
is a set of Kleiss-Kuijf color ordered basis,
,
and
are the similarly ordered numerators and color coefficients, we show that the propagator matrix
M
has (
n
− 3)(
n
− 3)! independent eigenvectors
with zero eigenvalue, for
n
-particle processes. The resulting equations
are relations among the color ordered amplitudes. The freedom to shift
and similarly for
where
f
j
are (
n
− 3)(
n
− 3)! arbitrary functions, encodes generalized gauge transformations. They yield both BCJ amplitude and KLT relations, when such freedom is accounted for. Furthermore,
f
j
can be promoted to the role of effective Lagrangian vertices in the field operator space.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP11(2010)028</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Amplitudes ; Apexes ; Classical and Quantum Gravitation ; Color ; Eigenvalues ; Eigenvectors ; Elementary Particles ; Gluons ; Gravitons ; High energy physics ; Operators (mathematics) ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory ; Transformations (mathematics)</subject><ispartof>The journal of high energy physics, 2010-11, Vol.2010 (11), Article 28</ispartof><rights>SISSA, Trieste, Italy 2010</rights><rights>SISSA, Trieste, Italy 2010.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c310t-6d0f25cd22c60b6c281aeae9636e105320a8d1c09ef51a3881d916c60c389abc3</citedby><cites>FETCH-LOGICAL-c310t-6d0f25cd22c60b6c281aeae9636e105320a8d1c09ef51a3881d916c60c389abc3</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/JHEP11(2010)028$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP11(2010)028$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,782,786,27933,27934,41129,41497,42198,42566,51328,51585</link.rule.ids><linktorsrc>$$Uhttps://doi.org/10.1007/JHEP11(2010)028$$EView_record_in_Springer_Nature$$FView_record_in_$$GSpringer_Nature</linktorsrc></links><search><creatorcontrib>Vaman, Diana</creatorcontrib><creatorcontrib>Yao, York-Peng</creatorcontrib><title>Constraints and generalized gauge transformations on tree-level gluon and graviton amplitudes</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>Writing the fully color dressed and graviton amplitudes, respectively, as
and
,
where
is a set of Kleiss-Kuijf color ordered basis,
,
and
are the similarly ordered numerators and color coefficients, we show that the propagator matrix
M
has (
n
− 3)(
n
− 3)! independent eigenvectors
with zero eigenvalue, for
n
-particle processes. The resulting equations
are relations among the color ordered amplitudes. The freedom to shift
and similarly for
where
f
j
are (
n
− 3)(
n
− 3)! arbitrary functions, encodes generalized gauge transformations. They yield both BCJ amplitude and KLT relations, when such freedom is accounted for. Furthermore,
f
j
can be promoted to the role of effective Lagrangian vertices in the field operator space.</description><subject>Amplitudes</subject><subject>Apexes</subject><subject>Classical and Quantum Gravitation</subject><subject>Color</subject><subject>Eigenvalues</subject><subject>Eigenvectors</subject><subject>Elementary Particles</subject><subject>Gluons</subject><subject>Gravitons</subject><subject>High energy physics</subject><subject>Operators (mathematics)</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>String Theory</subject><subject>Transformations (mathematics)</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kM1Lw0AQxRdRsFbPXgNe9BA7s2k-9iiltUpBD3qUZbuZhJR0U3c3Bf3r3RpBL57m6_fewGPsEuEWAfLJ43L-jHjNAeEGeHHERghcxMU0F8d_-lN25twGAFMUMGJvs844b1VjvIuUKaOaDFnVNp8UetXXFIWrcVVnt8o3AY46E1ZEcUt7aqO67cPiW2nVvvGHYbtrG9-X5M7ZSaVaRxc_dcxeF_OX2TJePd0_zO5WsU4QfJyVUPFUl5zrDNaZ5gUqUiSyJCOENOGgihI1CKpSVElRYCkwC6xOCqHWOhmzq8F3Z7v3npyXm663JryUPBG5ENOU54GaDJS2nXOWKrmzzVbZD4kgDxnKIUN5yFCGDIMCBoULpKnJ_vr-J_kCo6F0ww</recordid><startdate>20101101</startdate><enddate>20101101</enddate><creator>Vaman, Diana</creator><creator>Yao, York-Peng</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><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></search><sort><creationdate>20101101</creationdate><title>Constraints and generalized gauge transformations on tree-level gluon and graviton amplitudes</title><author>Vaman, Diana ; Yao, York-Peng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c310t-6d0f25cd22c60b6c281aeae9636e105320a8d1c09ef51a3881d916c60c389abc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Amplitudes</topic><topic>Apexes</topic><topic>Classical and Quantum Gravitation</topic><topic>Color</topic><topic>Eigenvalues</topic><topic>Eigenvectors</topic><topic>Elementary Particles</topic><topic>Gluons</topic><topic>Gravitons</topic><topic>High energy physics</topic><topic>Operators (mathematics)</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>String Theory</topic><topic>Transformations (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vaman, Diana</creatorcontrib><creatorcontrib>Yao, York-Peng</creatorcontrib><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>Access via ProQuest (Open Access)</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_linktorsrc</fulltext></delivery><addata><au>Vaman, Diana</au><au>Yao, York-Peng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Constraints and generalized gauge transformations on tree-level gluon and graviton amplitudes</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. 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and
,
where
is a set of Kleiss-Kuijf color ordered basis,
,
and
are the similarly ordered numerators and color coefficients, we show that the propagator matrix
M
has (
n
− 3)(
n
− 3)! independent eigenvectors
with zero eigenvalue, for
n
-particle processes. The resulting equations
are relations among the color ordered amplitudes. The freedom to shift
and similarly for
where
f
j
are (
n
− 3)(
n
− 3)! arbitrary functions, encodes generalized gauge transformations. They yield both BCJ amplitude and KLT relations, when such freedom is accounted for. Furthermore,
f
j
can be promoted to the role of effective Lagrangian vertices in the field operator space.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/JHEP11(2010)028</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Amplitudes Apexes Classical and Quantum Gravitation Color Eigenvalues Eigenvectors Elementary Particles Gluons Gravitons High energy physics Operators (mathematics) Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory Transformations (mathematics) |
| title | Constraints and generalized gauge transformations on tree-level gluon and graviton amplitudes |
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