A new look at instantons and large-N limit
A bstract We analyze instantons in the very strongly coupled large- N limit ( N → ∞ with g 2 fixed) of large- N gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional = 2 * gauge theories as a concrete example, we demonstrate that...
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Veröffentlicht in: | The journal of high energy physics 2014-05, Vol.2014 (5), p.1-11, Article 8 |
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container_issue | 5 |
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container_title | The journal of high energy physics |
container_volume | 2014 |
creator | Azeyanagi, Tatsuo Hanada, Masanori Honda, Masazumi Matsuo, Yoshinori Shiba, Shotaro |
description | A
bstract
We analyze instantons in the very strongly coupled large-
N
limit (
N
→ ∞ with
g
2
fixed) of large-
N
gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional
= 2
*
gauge theories as a concrete example, we demonstrate that each instanton sector in the very strongly coupled large-
N
limit is related to the one in the ’t Hooft limit (
N
→ ∞ with
g
2
N
fixed) through a simple analytic continuation. Furthermore we show the equivalence between the instanton partition functions of a pair of large-
N
gauge theories related by an orbifold projection. This can open up a new way to analyze the partition functions of low/non-supersymmetric theories. We also discuss implication of our result to gauge/gravity dualities for M-theory as well as a possible application to large-
N
QCD. |
doi_str_mv | 10.1007/JHEP05(2014)008 |
format | Article |
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bstract
We analyze instantons in the very strongly coupled large-
N
limit (
N
→ ∞ with
g
2
fixed) of large-
N
gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional
= 2
*
gauge theories as a concrete example, we demonstrate that each instanton sector in the very strongly coupled large-
N
limit is related to the one in the ’t Hooft limit (
N
→ ∞ with
g
2
N
fixed) through a simple analytic continuation. Furthermore we show the equivalence between the instanton partition functions of a pair of large-
N
gauge theories related by an orbifold projection. This can open up a new way to analyze the partition functions of low/non-supersymmetric theories. We also discuss implication of our result to gauge/gravity dualities for M-theory as well as a possible application to large-
N
QCD.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP05(2014)008</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Elementary Particles ; Equivalence ; Gauge theory ; High energy physics ; Instantons ; Joining ; M theory ; Mathematical analysis ; Partitions ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2014-05, Vol.2014 (5), p.1-11, Article 8</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-c384t-3d440f1854f5165bdc83d696293c93474132e7c6edc22dcbcd68295963d3f9c3</citedby><cites>FETCH-LOGICAL-c384t-3d440f1854f5165bdc83d696293c93474132e7c6edc22dcbcd68295963d3f9c3</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/JHEP05(2014)008$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP05(2014)008$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,27903,27904,41099,42168,51554</link.rule.ids></links><search><creatorcontrib>Azeyanagi, Tatsuo</creatorcontrib><creatorcontrib>Hanada, Masanori</creatorcontrib><creatorcontrib>Honda, Masazumi</creatorcontrib><creatorcontrib>Matsuo, Yoshinori</creatorcontrib><creatorcontrib>Shiba, Shotaro</creatorcontrib><title>A new look at instantons and large-N limit</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We analyze instantons in the very strongly coupled large-
N
limit (
N
→ ∞ with
g
2
fixed) of large-
N
gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional
= 2
*
gauge theories as a concrete example, we demonstrate that each instanton sector in the very strongly coupled large-
N
limit is related to the one in the ’t Hooft limit (
N
→ ∞ with
g
2
N
fixed) through a simple analytic continuation. Furthermore we show the equivalence between the instanton partition functions of a pair of large-
N
gauge theories related by an orbifold projection. This can open up a new way to analyze the partition functions of low/non-supersymmetric theories. We also discuss implication of our result to gauge/gravity dualities for M-theory as well as a possible application to large-
N
QCD.</description><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Equivalence</subject><subject>Gauge theory</subject><subject>High energy physics</subject><subject>Instantons</subject><subject>Joining</subject><subject>M theory</subject><subject>Mathematical analysis</subject><subject>Partitions</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><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>eNp1kE1LAzEQhoMoWKtnrwEvVVg7-dhNciylWqWoh95DmmTL1m22Jluk_94t66EInmYOz_vO8CB0S-CRAIjx63z2AfmIAuH3APIMDQhQlUku1PnJfomuUtoAkJwoGKCHCQ7-G9dN84lNi6uQWhPaJiRsgsO1iWufveG62lbtNbooTZ38ze8couXTbDmdZ4v355fpZJFZJnmbMcc5lETmvMxJka-clcwVqqCKWcW44IRRL2zhnaXU2ZV1haQqVwVzrFSWDdGor93F5mvvU6u3VbK-rk3wzT5pIgRQQUjXN0R3f9BNs4-he053l6ksjlhHjXvKxial6Eu9i9XWxIMmoI_qdK9OH9XpTl2XgD6ROjKsfTzp_SfyAyrCbQQ</recordid><startdate>20140501</startdate><enddate>20140501</enddate><creator>Azeyanagi, Tatsuo</creator><creator>Hanada, Masanori</creator><creator>Honda, Masazumi</creator><creator>Matsuo, Yoshinori</creator><creator>Shiba, Shotaro</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</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>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20140501</creationdate><title>A new look at instantons and large-N limit</title><author>Azeyanagi, Tatsuo ; Hanada, Masanori ; Honda, Masazumi ; Matsuo, Yoshinori ; Shiba, Shotaro</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c384t-3d440f1854f5165bdc83d696293c93474132e7c6edc22dcbcd68295963d3f9c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Equivalence</topic><topic>Gauge theory</topic><topic>High energy physics</topic><topic>Instantons</topic><topic>Joining</topic><topic>M theory</topic><topic>Mathematical analysis</topic><topic>Partitions</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><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Azeyanagi, Tatsuo</creatorcontrib><creatorcontrib>Hanada, Masanori</creatorcontrib><creatorcontrib>Honda, Masazumi</creatorcontrib><creatorcontrib>Matsuo, Yoshinori</creatorcontrib><creatorcontrib>Shiba, Shotaro</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>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Azeyanagi, Tatsuo</au><au>Hanada, Masanori</au><au>Honda, Masazumi</au><au>Matsuo, Yoshinori</au><au>Shiba, Shotaro</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new look at instantons and large-N limit</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2014-05-01</date><risdate>2014</risdate><volume>2014</volume><issue>5</issue><spage>1</spage><epage>11</epage><pages>1-11</pages><artnum>8</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We analyze instantons in the very strongly coupled large-
N
limit (
N
→ ∞ with
g
2
fixed) of large-
N
gauge theories, where the effect of the instantons remains finite. By using the exact partition function of four-dimensional
= 2
*
gauge theories as a concrete example, we demonstrate that each instanton sector in the very strongly coupled large-
N
limit is related to the one in the ’t Hooft limit (
N
→ ∞ with
g
2
N
fixed) through a simple analytic continuation. Furthermore we show the equivalence between the instanton partition functions of a pair of large-
N
gauge theories related by an orbifold projection. This can open up a new way to analyze the partition functions of low/non-supersymmetric theories. We also discuss implication of our result to gauge/gravity dualities for M-theory as well as a possible application to large-
N
QCD.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP05(2014)008</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Springer Nature OA Free Journals; Alma/SFX Local Collection |
subjects | Classical and Quantum Gravitation Elementary Particles Equivalence Gauge theory High energy physics Instantons Joining M theory Mathematical analysis Partitions Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory |
title | A new look at instantons and large-N limit |
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