Unitarity and the holographic S-Matrix
A bstract The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be derived by studying the behavior of the OPE and the conformal block decomposition in the flat space limit. Wh...
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| Veröffentlicht in: | The journal of high energy physics 2012-10, Vol.2012 (10), Article 32 |
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| creator | Fitzpatrick, A. Liam Kaplan, Jared |
| description | A
bstract
The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be derived by studying the behavior of the OPE and the conformal block decomposition in the flat space limit. When applied to perturbation theory in AdS, this gives a holographic derivation of the cutting rules for Feynman diagrams. To demonstrate these facts we introduce some new techniques for the analysis of conformal field theories. Chief among these is a method for conglomerating local primary operators
and
to extract the contribution of an individual primary
in their OPE. This provides a method for isolating the contribution of specific conformal blocks which we use to prove an important relation between certain conformal block coefficients and anomalous dimensions. These techniques make essential use of the simplifications that occur when CFT correlators are expressed in terms of a Mellin amplitude. |
| doi_str_mv | 10.1007/JHEP10(2012)032 |
| format | Article |
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bstract
The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be derived by studying the behavior of the OPE and the conformal block decomposition in the flat space limit. When applied to perturbation theory in AdS, this gives a holographic derivation of the cutting rules for Feynman diagrams. To demonstrate these facts we introduce some new techniques for the analysis of conformal field theories. Chief among these is a method for conglomerating local primary operators
and
to extract the contribution of an individual primary
in their OPE. This provides a method for isolating the contribution of specific conformal blocks which we use to prove an important relation between certain conformal block coefficients and anomalous dimensions. These techniques make essential use of the simplifications that occur when CFT correlators are expressed in terms of a Mellin amplitude.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP10(2012)032</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>ANOMALOUS DIMENSION ; Classical and Quantum Gravitation ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; Correlators ; Elementary Particles ; FEYNMAN DIAGRAM ; Feynman diagrams ; FIELD THEORIES ; High energy physics ; OPTICAL THEOREM ; PERTURBATION THEORY ; Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; S MATRIX ; S matrix theory ; String Theory ; UNITARITY</subject><ispartof>The journal of high energy physics, 2012-10, Vol.2012 (10), Article 32</ispartof><rights>SISSA 2012</rights><rights>SISSA 2012.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c378t-47b45241141cb34e2e214732148362e78501f69b2c66e188bbea329e48bb8f353</citedby><cites>FETCH-LOGICAL-c378t-47b45241141cb34e2e214732148362e78501f69b2c66e188bbea329e48bb8f353</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(2012)032$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP10(2012)032$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>230,314,780,784,885,27924,27925,41120,41488,42189,42557,51319,51576</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1049764$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Fitzpatrick, A. Liam</creatorcontrib><creatorcontrib>Kaplan, Jared</creatorcontrib><creatorcontrib>SLAC National Accelerator Lab., Menlo Park, CA (United States)</creatorcontrib><title>Unitarity and the holographic S-Matrix</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be derived by studying the behavior of the OPE and the conformal block decomposition in the flat space limit. When applied to perturbation theory in AdS, this gives a holographic derivation of the cutting rules for Feynman diagrams. To demonstrate these facts we introduce some new techniques for the analysis of conformal field theories. Chief among these is a method for conglomerating local primary operators
and
to extract the contribution of an individual primary
in their OPE. This provides a method for isolating the contribution of specific conformal blocks which we use to prove an important relation between certain conformal block coefficients and anomalous dimensions. These techniques make essential use of the simplifications that occur when CFT correlators are expressed in terms of a Mellin amplitude.</description><subject>ANOMALOUS DIMENSION</subject><subject>Classical and Quantum Gravitation</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>Correlators</subject><subject>Elementary Particles</subject><subject>FEYNMAN DIAGRAM</subject><subject>Feynman diagrams</subject><subject>FIELD THEORIES</subject><subject>High energy physics</subject><subject>OPTICAL THEOREM</subject><subject>PERTURBATION THEORY</subject><subject>Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH</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>S MATRIX</subject><subject>S matrix theory</subject><subject>String Theory</subject><subject>UNITARITY</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</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>eNp1kMFLwzAUh4MoOKdnr0VB9FD3XpI26VHGdMpEQXcOaUzXjtnOJIPtvzejgl68vPcO3-_H4yPkHOEWAcToaTp5RbimgPQGGD0gAwRapJKL4vDPfUxOvF8CYIYFDMjVvG2Cdk3YJbr9SEJtk7pbdQun13Vjkrf0WQfXbE_JUaVX3p797CGZ30_ex9N09vLwOL6bpYYJGVIuSp5RjsjRlIxbailyweKQLKdWyAywyouSmjy3KGVZWs1oYXm8ZMUyNiQXfW_nQ6O8aYI1tena1pqgEHghch6hyx5au-5rY31Qy27j2viXohyAgcgBIzXqKeM6752t1No1n9rtYo_aG1O9MbU3pqKxmIA-4SPZLqz77f0v8g3Z7Wl8</recordid><startdate>20121001</startdate><enddate>20121001</enddate><creator>Fitzpatrick, A. 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Liam ; Kaplan, Jared</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c378t-47b45241141cb34e2e214732148362e78501f69b2c66e188bbea329e48bb8f353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>ANOMALOUS DIMENSION</topic><topic>Classical and Quantum Gravitation</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>Correlators</topic><topic>Elementary Particles</topic><topic>FEYNMAN DIAGRAM</topic><topic>Feynman diagrams</topic><topic>FIELD THEORIES</topic><topic>High energy physics</topic><topic>OPTICAL THEOREM</topic><topic>PERTURBATION THEORY</topic><topic>Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH</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>S MATRIX</topic><topic>S matrix theory</topic><topic>String Theory</topic><topic>UNITARITY</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fitzpatrick, A. Liam</creatorcontrib><creatorcontrib>Kaplan, Jared</creatorcontrib><creatorcontrib>SLAC National Accelerator Lab., Menlo Park, 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>Fitzpatrick, A. Liam</au><au>Kaplan, Jared</au><aucorp>SLAC National Accelerator Lab., Menlo Park, CA (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Unitarity and the holographic S-Matrix</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2012-10-01</date><risdate>2012</risdate><volume>2012</volume><issue>10</issue><artnum>32</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be derived by studying the behavior of the OPE and the conformal block decomposition in the flat space limit. When applied to perturbation theory in AdS, this gives a holographic derivation of the cutting rules for Feynman diagrams. To demonstrate these facts we introduce some new techniques for the analysis of conformal field theories. Chief among these is a method for conglomerating local primary operators
and
to extract the contribution of an individual primary
in their OPE. This provides a method for isolating the contribution of specific conformal blocks which we use to prove an important relation between certain conformal block coefficients and anomalous dimensions. These techniques make essential use of the simplifications that occur when CFT correlators are expressed in terms of a Mellin amplitude.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/JHEP10(2012)032</doi><oa>free_for_read</oa></addata></record> |
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| subjects | ANOMALOUS DIMENSION Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Correlators Elementary Particles FEYNMAN DIAGRAM Feynman diagrams FIELD THEORIES High energy physics OPTICAL THEOREM PERTURBATION THEORY Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory S MATRIX S matrix theory String Theory UNITARITY |
| title | Unitarity and the holographic S-Matrix |
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