Renormalisation group analysis of electromagnetic couplings in the pionless effective field theory
. The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point amplitude is independent of the cutoff, a renormalisation group e...
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| Veröffentlicht in: | The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2018-12, Vol.54 (12), p.1-11, Article 216 |
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| container_title | The European physical journal. A, Hadrons and nuclei |
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| creator | Kvinikhidze, A. N. Birse, M. C. |
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The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point amplitude is independent of the cutoff, a renormalisation group equation is derived for the interaction current density. This is solved to obtain the fixed point corresponding to the unitary limit. The scaling behaviour of perturbations around this point is analysed. Some of these terms are related by gauge invariance to terms in the effective-range expansion; others describe short-range physics that is not included in the two-body potential. We construct observables including the bound-state form factor and show how the scaling of the terms in the interaction current is reflected in the power counting for their contributions to observables. |
| doi_str_mv | 10.1140/epja/i2018-12652-9 |
| format | Article |
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The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point amplitude is independent of the cutoff, a renormalisation group equation is derived for the interaction current density. This is solved to obtain the fixed point corresponding to the unitary limit. The scaling behaviour of perturbations around this point is analysed. Some of these terms are related by gauge invariance to terms in the effective-range expansion; others describe short-range physics that is not included in the two-body potential. We construct observables including the bound-state form factor and show how the scaling of the terms in the interaction current is reflected in the power counting for their contributions to observables.</description><identifier>ISSN: 1434-6001</identifier><identifier>EISSN: 1434-601X</identifier><identifier>DOI: 10.1140/epja/i2018-12652-9</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Couplings ; Field theory ; Form factors ; Gauge invariance ; Hadrons ; Heavy Ions ; Nuclear Fusion ; Nuclear Physics ; Particle and Nuclear Physics ; Physics ; Physics and Astronomy ; Regular Article - Theoretical Physics ; Scaling</subject><ispartof>The European physical journal. A, Hadrons and nuclei, 2018-12, Vol.54 (12), p.1-11, Article 216</ispartof><rights>The Author(s) 2018</rights><rights>Copyright Springer Nature B.V. 2018</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-901ad974be2566e8aebc852506312aabcbbe077fbe96bb1bc82c2beca45010f83</citedby><cites>FETCH-LOGICAL-c363t-901ad974be2566e8aebc852506312aabcbbe077fbe96bb1bc82c2beca45010f83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epja/i2018-12652-9$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epja/i2018-12652-9$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kvinikhidze, A. N.</creatorcontrib><creatorcontrib>Birse, M. C.</creatorcontrib><title>Renormalisation group analysis of electromagnetic couplings in the pionless effective field theory</title><title>The European physical journal. A, Hadrons and nuclei</title><addtitle>Eur. Phys. J. A</addtitle><description>.
The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point amplitude is independent of the cutoff, a renormalisation group equation is derived for the interaction current density. This is solved to obtain the fixed point corresponding to the unitary limit. The scaling behaviour of perturbations around this point is analysed. Some of these terms are related by gauge invariance to terms in the effective-range expansion; others describe short-range physics that is not included in the two-body potential. We construct observables including the bound-state form factor and show how the scaling of the terms in the interaction current is reflected in the power counting for their contributions to observables.</description><subject>Couplings</subject><subject>Field theory</subject><subject>Form factors</subject><subject>Gauge invariance</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Nuclear Fusion</subject><subject>Nuclear Physics</subject><subject>Particle and Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article - Theoretical Physics</subject><subject>Scaling</subject><issn>1434-6001</issn><issn>1434-601X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp9kE1LAzEQhoMoWD_-gKeA57WZZDfdPUrxCwqCKHgLSTpZU7abNdkK_femrejN0wzM874wDyFXwG4ASjbFYaWnnjOoC-Cy4kVzRCZQirKQDN6Pf3cGp-QspRVjrOSNnBDzgn2Ia935pEcfetrGsBmo7nW3TT7R4Ch2aMcY1rrtcfSW2gx0vm8T9T0dP5AOOddhShSdy6j_Quo8dsvdMcTtBTlxukt4-TPPydv93ev8sVg8PzzNbxeFFVKMRcNAL5tZaZBXUmKt0di64hWTArjWxhqDbDZzBhtpDOQjt9yg1WXFgLlanJPrQ-8Qw-cG06hWYRPzI0lxqGrJQZRVpviBsjGkFNGpIfq1jlsFTO1cqp1LtXep9i5Vk0PiEEoZ7luMf9X_pL4BeLp8IQ</recordid><startdate>20181201</startdate><enddate>20181201</enddate><creator>Kvinikhidze, A. N.</creator><creator>Birse, M. C.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20181201</creationdate><title>Renormalisation group analysis of electromagnetic couplings in the pionless effective field theory</title><author>Kvinikhidze, A. N. ; Birse, M. C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-901ad974be2566e8aebc852506312aabcbbe077fbe96bb1bc82c2beca45010f83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Couplings</topic><topic>Field theory</topic><topic>Form factors</topic><topic>Gauge invariance</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Nuclear Fusion</topic><topic>Nuclear Physics</topic><topic>Particle and Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article - Theoretical Physics</topic><topic>Scaling</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kvinikhidze, A. N.</creatorcontrib><creatorcontrib>Birse, M. C.</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><jtitle>The European physical journal. A, Hadrons and nuclei</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kvinikhidze, A. N.</au><au>Birse, M. C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Renormalisation group analysis of electromagnetic couplings in the pionless effective field theory</atitle><jtitle>The European physical journal. A, Hadrons and nuclei</jtitle><stitle>Eur. Phys. J. A</stitle><date>2018-12-01</date><risdate>2018</risdate><volume>54</volume><issue>12</issue><spage>1</spage><epage>11</epage><pages>1-11</pages><artnum>216</artnum><issn>1434-6001</issn><eissn>1434-601X</eissn><abstract>.
The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point amplitude is independent of the cutoff, a renormalisation group equation is derived for the interaction current density. This is solved to obtain the fixed point corresponding to the unitary limit. The scaling behaviour of perturbations around this point is analysed. Some of these terms are related by gauge invariance to terms in the effective-range expansion; others describe short-range physics that is not included in the two-body potential. We construct observables including the bound-state form factor and show how the scaling of the terms in the interaction current is reflected in the power counting for their contributions to observables.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epja/i2018-12652-9</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Couplings Field theory Form factors Gauge invariance Hadrons Heavy Ions Nuclear Fusion Nuclear Physics Particle and Nuclear Physics Physics Physics and Astronomy Regular Article - Theoretical Physics Scaling |
| title | Renormalisation group analysis of electromagnetic couplings in the pionless effective field theory |
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