Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O ( N ) -Symmetric ( φ 3 6 ) Theory
At large N, the etaphi/sup 6/ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an...
Gespeichert in:
| Veröffentlicht in: | Phys. Rev. Lett.; (United States) 1984-01, Vol.52 (14), p.1188-1191 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1191 |
|---|---|
| container_issue | 14 |
| container_start_page | 1188 |
| container_title | Phys. Rev. Lett.; (United States) |
| container_volume | 52 |
| creator | Bardeen, William A. Moshe, Moshe Bander, Myron |
| description | At large N, the etaphi/sup 6/ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an exact scale invariance at leading N results in the formation of a massless composite Goldstone mode, the dilaton. We compare these results to standard 1/N expansion and emphasize the nonperturbative nature of these phenomena. |
| doi_str_mv | 10.1103/PhysRevLett.52.1188 |
| format | Article |
| fullrecord | <record><control><sourceid>crossref_osti_</sourceid><recordid>TN_cdi_crossref_primary_10_1103_PhysRevLett_52_1188</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1103_PhysRevLett_52_1188</sourcerecordid><originalsourceid>FETCH-LOGICAL-c276t-1ed8628c66345901a506e84de7fa74d6b7ba1be46620346a80f03caf2010a8933</originalsourceid><addsrcrecordid>eNpNkMFOAjEURWehiYh-gZsXV7oYfG2HTlkqESUhQgTWk9J5I1VoSVuJ_IC_5y8JwYWrm5yc3MXJsiuGHcZQ3E2Wu_hK2xGl1OnyPVPqJGshCpb3EMuz7DzGd0RkXKpWtpluvEvakf-M8BBIf1j3Br6BqdErgqHb6mC1MwTa1ZCWBPNVCnpr_YoSDOwX1TDx1iWwDsZwAy9wC_l0t15TCtbswc83CJB7OluSD7uL7LTRq0iXf9vO5oPHWf85H42fhv37UW54KVPOqFaSKyOlKLo9ZLqLklRRU9nosqjlolxotqBCSo6ikFphg8LohiNDrXpCtLPr46-PyVbR2ERmabxzZFJVMiUZ53tJHCUTfIyBmmoT7FqHXcWwOtSs_tWsurw61BS_GxtrQA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O ( N ) -Symmetric ( φ 3 6 ) Theory</title><source>APS: American Physical Society E-Journals (Physics)</source><creator>Bardeen, William A. ; Moshe, Moshe ; Bander, Myron</creator><creatorcontrib>Bardeen, William A. ; Moshe, Moshe ; Bander, Myron ; Fermi National Accelerator Laboratory, Batavia, Illinois 60510</creatorcontrib><description>At large N, the etaphi/sup 6/ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an exact scale invariance at leading N results in the formation of a massless composite Goldstone mode, the dilaton. We compare these results to standard 1/N expansion and emphasize the nonperturbative nature of these phenomena.</description><identifier>ISSN: 0031-9007</identifier><identifier>DOI: 10.1103/PhysRevLett.52.1188</identifier><language>eng</language><publisher>United States</publisher><subject>645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987) ; 645400 - High Energy Physics- Field Theory ; CORRELATION FUNCTIONS ; DYNAMICAL GROUPS ; FIELD THEORIES ; FUNCTIONS ; INVARIANCE PRINCIPLES ; LIE GROUPS ; O GROUPS ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; QUANTUM FIELD THEORY ; RENORMALIZATION ; SCALAR FIELDS ; SCALE INVARIANCE ; SYMMETRY BREAKING ; SYMMETRY GROUPS ; ULTRAVIOLET DIVERGENCES ; VARIATIONAL METHODS</subject><ispartof>Phys. Rev. Lett.; (United States), 1984-01, Vol.52 (14), p.1188-1191</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c276t-1ed8628c66345901a506e84de7fa74d6b7ba1be46620346a80f03caf2010a8933</citedby><cites>FETCH-LOGICAL-c276t-1ed8628c66345901a506e84de7fa74d6b7ba1be46620346a80f03caf2010a8933</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,881,2863,2864,27901,27902</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/7186122$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Bardeen, William A.</creatorcontrib><creatorcontrib>Moshe, Moshe</creatorcontrib><creatorcontrib>Bander, Myron</creatorcontrib><creatorcontrib>Fermi National Accelerator Laboratory, Batavia, Illinois 60510</creatorcontrib><title>Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O ( N ) -Symmetric ( φ 3 6 ) Theory</title><title>Phys. Rev. Lett.; (United States)</title><description>At large N, the etaphi/sup 6/ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an exact scale invariance at leading N results in the formation of a massless composite Goldstone mode, the dilaton. We compare these results to standard 1/N expansion and emphasize the nonperturbative nature of these phenomena.</description><subject>645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)</subject><subject>645400 - High Energy Physics- Field Theory</subject><subject>CORRELATION FUNCTIONS</subject><subject>DYNAMICAL GROUPS</subject><subject>FIELD THEORIES</subject><subject>FUNCTIONS</subject><subject>INVARIANCE PRINCIPLES</subject><subject>LIE GROUPS</subject><subject>O GROUPS</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>QUANTUM FIELD THEORY</subject><subject>RENORMALIZATION</subject><subject>SCALAR FIELDS</subject><subject>SCALE INVARIANCE</subject><subject>SYMMETRY BREAKING</subject><subject>SYMMETRY GROUPS</subject><subject>ULTRAVIOLET DIVERGENCES</subject><subject>VARIATIONAL METHODS</subject><issn>0031-9007</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1984</creationdate><recordtype>article</recordtype><recordid>eNpNkMFOAjEURWehiYh-gZsXV7oYfG2HTlkqESUhQgTWk9J5I1VoSVuJ_IC_5y8JwYWrm5yc3MXJsiuGHcZQ3E2Wu_hK2xGl1OnyPVPqJGshCpb3EMuz7DzGd0RkXKpWtpluvEvakf-M8BBIf1j3Br6BqdErgqHb6mC1MwTa1ZCWBPNVCnpr_YoSDOwX1TDx1iWwDsZwAy9wC_l0t15TCtbswc83CJB7OluSD7uL7LTRq0iXf9vO5oPHWf85H42fhv37UW54KVPOqFaSKyOlKLo9ZLqLklRRU9nosqjlolxotqBCSo6ikFphg8LohiNDrXpCtLPr46-PyVbR2ERmabxzZFJVMiUZ53tJHCUTfIyBmmoT7FqHXcWwOtSs_tWsurw61BS_GxtrQA</recordid><startdate>19840101</startdate><enddate>19840101</enddate><creator>Bardeen, William A.</creator><creator>Moshe, Moshe</creator><creator>Bander, Myron</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19840101</creationdate><title>Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O ( N ) -Symmetric ( φ 3 6 ) Theory</title><author>Bardeen, William A. ; Moshe, Moshe ; Bander, Myron</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c276t-1ed8628c66345901a506e84de7fa74d6b7ba1be46620346a80f03caf2010a8933</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1984</creationdate><topic>645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)</topic><topic>645400 - High Energy Physics- Field Theory</topic><topic>CORRELATION FUNCTIONS</topic><topic>DYNAMICAL GROUPS</topic><topic>FIELD THEORIES</topic><topic>FUNCTIONS</topic><topic>INVARIANCE PRINCIPLES</topic><topic>LIE GROUPS</topic><topic>O GROUPS</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>QUANTUM FIELD THEORY</topic><topic>RENORMALIZATION</topic><topic>SCALAR FIELDS</topic><topic>SCALE INVARIANCE</topic><topic>SYMMETRY BREAKING</topic><topic>SYMMETRY GROUPS</topic><topic>ULTRAVIOLET DIVERGENCES</topic><topic>VARIATIONAL METHODS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bardeen, William A.</creatorcontrib><creatorcontrib>Moshe, Moshe</creatorcontrib><creatorcontrib>Bander, Myron</creatorcontrib><creatorcontrib>Fermi National Accelerator Laboratory, Batavia, Illinois 60510</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Phys. Rev. Lett.; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bardeen, William A.</au><au>Moshe, Moshe</au><au>Bander, Myron</au><aucorp>Fermi National Accelerator Laboratory, Batavia, Illinois 60510</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O ( N ) -Symmetric ( φ 3 6 ) Theory</atitle><jtitle>Phys. Rev. Lett.; (United States)</jtitle><date>1984-01-01</date><risdate>1984</risdate><volume>52</volume><issue>14</issue><spage>1188</spage><epage>1191</epage><pages>1188-1191</pages><issn>0031-9007</issn><abstract>At large N, the etaphi/sup 6/ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an exact scale invariance at leading N results in the formation of a massless composite Goldstone mode, the dilaton. We compare these results to standard 1/N expansion and emphasize the nonperturbative nature of these phenomena.</abstract><cop>United States</cop><doi>10.1103/PhysRevLett.52.1188</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0031-9007 |
| ispartof | Phys. Rev. Lett.; (United States), 1984-01, Vol.52 (14), p.1188-1191 |
| issn | 0031-9007 |
| language | eng |
| recordid | cdi_crossref_primary_10_1103_PhysRevLett_52_1188 |
| source | APS: American Physical Society E-Journals (Physics) |
| subjects | 645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987) 645400 - High Energy Physics- Field Theory CORRELATION FUNCTIONS DYNAMICAL GROUPS FIELD THEORIES FUNCTIONS INVARIANCE PRINCIPLES LIE GROUPS O GROUPS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY RENORMALIZATION SCALAR FIELDS SCALE INVARIANCE SYMMETRY BREAKING SYMMETRY GROUPS ULTRAVIOLET DIVERGENCES VARIATIONAL METHODS |
| title | Spontaneous Breaking of Scale Invariance and the Ultraviolet Fixed Point in O ( N ) -Symmetric ( φ 3 6 ) Theory |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T15%3A30%3A41IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Spontaneous%20Breaking%20of%20Scale%20Invariance%20and%20the%20Ultraviolet%20Fixed%20Point%20in%20O%20(%20N%20)%20-Symmetric%20(%20%CF%86%203%206%20)%20Theory&rft.jtitle=Phys.%20Rev.%20Lett.;%20(United%20States)&rft.au=Bardeen,%20William%20A.&rft.aucorp=Fermi%20National%20Accelerator%20Laboratory,%20Batavia,%20Illinois%2060510&rft.date=1984-01-01&rft.volume=52&rft.issue=14&rft.spage=1188&rft.epage=1191&rft.pages=1188-1191&rft.issn=0031-9007&rft_id=info:doi/10.1103/PhysRevLett.52.1188&rft_dat=%3Ccrossref_osti_%3E10_1103_PhysRevLett_52_1188%3C/crossref_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |