Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
We consider the running coupling from the four-gluon vertex in Landau gauge, SU(N{sub c}) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. We determine these functions numerically from a coupled set of Dyson-Schwinger equations. We reproduce a...
Gespeichert in:
| Veröffentlicht in: | Physical review. D, Particles and fields Particles and fields, 2008-07, Vol.78 (2), Article 025015 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 2 |
| container_start_page | |
| container_title | Physical review. D, Particles and fields |
| container_volume | 78 |
| creator | Kellermann, Christian Fischer, Christian S. |
| description | We consider the running coupling from the four-gluon vertex in Landau gauge, SU(N{sub c}) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. We determine these functions numerically from a coupled set of Dyson-Schwinger equations. We reproduce asymptotic freedom in the ultraviolet momentum region and find a coupling of order one at mid-momenta. In the infrared we find a nontrivial (i.e. nonzero) fixed point which is 3 orders of magnitude smaller than the corresponding fixed point in the coupling of the ghost-gluon vertex. This result explains why the Dyson-Schwinger and the functional renormalization group equations for the two point functions can agree in the infrared, although their structure is quite different. Our findings also support Zwanziger's notion of an infrared effective theory driven by the Faddeev-Popov determinant. |
| doi_str_mv | 10.1103/PhysRevD.78.025015 |
| format | Article |
| fullrecord | <record><control><sourceid>crossref_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_21250410</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1103_PhysRevD_78_025015</sourcerecordid><originalsourceid>FETCH-LOGICAL-c275t-bdfd2df768f48eaa5ccedc21a887d667db14fd1425151fb82bd0438229a79ede3</originalsourceid><addsrcrecordid>eNo10L1OwzAUBWALgUQJvACTJeYU24ljZ0TlV2oFqmBgshz7Og1K7cpOKvr2tGqZ7hnuOcOH0C0lU0pJcf-x2qUlbB-nQk4J44TyMzShnJOcFZU8P2VR1_ISXaX0Q0jBKiEmaLEcve98i00YN_0huBjWeFgBdmGMeduPweMtxAF-cefxXHurR9zqsQX8rX2bL7q-T4dCiLtrdOF0n-DmdDP09fz0OXvN5-8vb7OHeW6Y4EPeWGeZdaKSrpSgNTcGrGFUSylsVQnb0NJZWjJOOXWNZI0lZSEZq7WowUKRobvjbkhDp5LpBjArE7wHMyhG9wDlXiVD7PhlYkgpglOb2K113ClK1IFN_bMpIdWRrfgDpxljNw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory</title><source>American Physical Society Journals</source><creator>Kellermann, Christian ; Fischer, Christian S.</creator><creatorcontrib>Kellermann, Christian ; Fischer, Christian S.</creatorcontrib><description>We consider the running coupling from the four-gluon vertex in Landau gauge, SU(N{sub c}) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. We determine these functions numerically from a coupled set of Dyson-Schwinger equations. We reproduce asymptotic freedom in the ultraviolet momentum region and find a coupling of order one at mid-momenta. In the infrared we find a nontrivial (i.e. nonzero) fixed point which is 3 orders of magnitude smaller than the corresponding fixed point in the coupling of the ghost-gluon vertex. This result explains why the Dyson-Schwinger and the functional renormalization group equations for the two point functions can agree in the infrared, although their structure is quite different. Our findings also support Zwanziger's notion of an infrared effective theory driven by the Faddeev-Popov determinant.</description><identifier>ISSN: 1550-7998</identifier><identifier>ISSN: 0556-2821</identifier><identifier>EISSN: 1550-2368</identifier><identifier>EISSN: 1089-4918</identifier><identifier>DOI: 10.1103/PhysRevD.78.025015</identifier><language>eng</language><publisher>United States</publisher><subject>ASYMPTOTIC SOLUTIONS ; COUPLING ; DYSON REPRESENTATION ; EQUATIONS ; FADDEEV EQUATIONS ; GAUGE INVARIANCE ; GLUONS ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; PROPAGATOR ; RENORMALIZATION ; SCHWINGER FUNCTIONAL EQUATIONS ; SU GROUPS ; ULTRAVIOLET RADIATION ; YANG-MILLS THEORY</subject><ispartof>Physical review. D, Particles and fields, 2008-07, Vol.78 (2), Article 025015</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c275t-bdfd2df768f48eaa5ccedc21a887d667db14fd1425151fb82bd0438229a79ede3</citedby><cites>FETCH-LOGICAL-c275t-bdfd2df768f48eaa5ccedc21a887d667db14fd1425151fb82bd0438229a79ede3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,776,780,881,2863,2864,27901,27902</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/21250410$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Kellermann, Christian</creatorcontrib><creatorcontrib>Fischer, Christian S.</creatorcontrib><title>Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory</title><title>Physical review. D, Particles and fields</title><description>We consider the running coupling from the four-gluon vertex in Landau gauge, SU(N{sub c}) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. We determine these functions numerically from a coupled set of Dyson-Schwinger equations. We reproduce asymptotic freedom in the ultraviolet momentum region and find a coupling of order one at mid-momenta. In the infrared we find a nontrivial (i.e. nonzero) fixed point which is 3 orders of magnitude smaller than the corresponding fixed point in the coupling of the ghost-gluon vertex. This result explains why the Dyson-Schwinger and the functional renormalization group equations for the two point functions can agree in the infrared, although their structure is quite different. Our findings also support Zwanziger's notion of an infrared effective theory driven by the Faddeev-Popov determinant.</description><subject>ASYMPTOTIC SOLUTIONS</subject><subject>COUPLING</subject><subject>DYSON REPRESENTATION</subject><subject>EQUATIONS</subject><subject>FADDEEV EQUATIONS</subject><subject>GAUGE INVARIANCE</subject><subject>GLUONS</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>PROPAGATOR</subject><subject>RENORMALIZATION</subject><subject>SCHWINGER FUNCTIONAL EQUATIONS</subject><subject>SU GROUPS</subject><subject>ULTRAVIOLET RADIATION</subject><subject>YANG-MILLS THEORY</subject><issn>1550-7998</issn><issn>0556-2821</issn><issn>1550-2368</issn><issn>1089-4918</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNo10L1OwzAUBWALgUQJvACTJeYU24ljZ0TlV2oFqmBgshz7Og1K7cpOKvr2tGqZ7hnuOcOH0C0lU0pJcf-x2qUlbB-nQk4J44TyMzShnJOcFZU8P2VR1_ISXaX0Q0jBKiEmaLEcve98i00YN_0huBjWeFgBdmGMeduPweMtxAF-cefxXHurR9zqsQX8rX2bL7q-T4dCiLtrdOF0n-DmdDP09fz0OXvN5-8vb7OHeW6Y4EPeWGeZdaKSrpSgNTcGrGFUSylsVQnb0NJZWjJOOXWNZI0lZSEZq7WowUKRobvjbkhDp5LpBjArE7wHMyhG9wDlXiVD7PhlYkgpglOb2K113ClK1IFN_bMpIdWRrfgDpxljNw</recordid><startdate>20080701</startdate><enddate>20080701</enddate><creator>Kellermann, Christian</creator><creator>Fischer, Christian S.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>20080701</creationdate><title>Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory</title><author>Kellermann, Christian ; Fischer, Christian S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c275t-bdfd2df768f48eaa5ccedc21a887d667db14fd1425151fb82bd0438229a79ede3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>ASYMPTOTIC SOLUTIONS</topic><topic>COUPLING</topic><topic>DYSON REPRESENTATION</topic><topic>EQUATIONS</topic><topic>FADDEEV EQUATIONS</topic><topic>GAUGE INVARIANCE</topic><topic>GLUONS</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>PROPAGATOR</topic><topic>RENORMALIZATION</topic><topic>SCHWINGER FUNCTIONAL EQUATIONS</topic><topic>SU GROUPS</topic><topic>ULTRAVIOLET RADIATION</topic><topic>YANG-MILLS THEORY</topic><toplevel>online_resources</toplevel><creatorcontrib>Kellermann, Christian</creatorcontrib><creatorcontrib>Fischer, Christian S.</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Physical review. D, Particles and fields</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kellermann, Christian</au><au>Fischer, Christian S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory</atitle><jtitle>Physical review. D, Particles and fields</jtitle><date>2008-07-01</date><risdate>2008</risdate><volume>78</volume><issue>2</issue><artnum>025015</artnum><issn>1550-7998</issn><issn>0556-2821</issn><eissn>1550-2368</eissn><eissn>1089-4918</eissn><abstract>We consider the running coupling from the four-gluon vertex in Landau gauge, SU(N{sub c}) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. We determine these functions numerically from a coupled set of Dyson-Schwinger equations. We reproduce asymptotic freedom in the ultraviolet momentum region and find a coupling of order one at mid-momenta. In the infrared we find a nontrivial (i.e. nonzero) fixed point which is 3 orders of magnitude smaller than the corresponding fixed point in the coupling of the ghost-gluon vertex. This result explains why the Dyson-Schwinger and the functional renormalization group equations for the two point functions can agree in the infrared, although their structure is quite different. Our findings also support Zwanziger's notion of an infrared effective theory driven by the Faddeev-Popov determinant.</abstract><cop>United States</cop><doi>10.1103/PhysRevD.78.025015</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1550-7998 |
| ispartof | Physical review. D, Particles and fields, 2008-07, Vol.78 (2), Article 025015 |
| issn | 1550-7998 0556-2821 1550-2368 1089-4918 |
| language | eng |
| recordid | cdi_osti_scitechconnect_21250410 |
| source | American Physical Society Journals |
| subjects | ASYMPTOTIC SOLUTIONS COUPLING DYSON REPRESENTATION EQUATIONS FADDEEV EQUATIONS GAUGE INVARIANCE GLUONS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PROPAGATOR RENORMALIZATION SCHWINGER FUNCTIONAL EQUATIONS SU GROUPS ULTRAVIOLET RADIATION YANG-MILLS THEORY |
| title | Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T15%3A19%3A32IST&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=Running%20coupling%20from%20the%20four-gluon%20vertex%20in%20Landau%20gauge%20Yang-Mills%20theory&rft.jtitle=Physical%20review.%20D,%20Particles%20and%20fields&rft.au=Kellermann,%20Christian&rft.date=2008-07-01&rft.volume=78&rft.issue=2&rft.artnum=025015&rft.issn=1550-7998&rft.eissn=1550-2368&rft_id=info:doi/10.1103/PhysRevD.78.025015&rft_dat=%3Ccrossref_osti_%3E10_1103_PhysRevD_78_025015%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 |