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dc.contributor.authorChang, Tom
dc.date.accessioned2020-05-07T18:52:02Z
dc.date.available2020-05-07T18:52:02Z
dc.date.issued2017-12-07
dc.date.submitted2017-11
dc.identifier.issn2073-8994
dc.identifier.urihttps://hdl.handle.net/1721.1/125118
dc.description.abstractComplexity phenomena in cosmological evolution due to the scale-running of the propagator coupling constant can yield new insights related to virtual particles and antiscreening effects with dark matter consequences. This idea was developed in accordance with the differential-integral functional formulation of the Wilsonian renormalization group based on the one-particle irreducible scale-dependent effective action for gravitational evolution. In this tutorial communication, we briefly describe the essence of the result with minimal mathematical details and then consider a few simple examples to provide a basic understanding of such an interesting and intriguing complexity process in terms of fractional calculus. ©2017 Keywords: complexity; symmetry; virtual particles; antiscreening; renormalization group; fractional calculus; Lifshitz ordering; dark matteren_US
dc.publisherMultidisciplinary Digital Publishing Instituteen_US
dc.relation.isversionof10.3390/sym9120306en_US
dc.rightsCreative Commons Attributionen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.sourceMultidisciplinary Digital Publishing Instituteen_US
dc.titleComplexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorialen_US
dc.typeArticleen_US
dc.identifier.citationChang, Tom T.S., "Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial." Symmetry 9, 12 (2017): no. 306 doi 10.3390/sym9120306 ©2017 Author(s)en_US
dc.contributor.departmentMIT Kavli Institute for Astrophysics and Space Researchen_US
dc.relation.journalSymmetryen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2019-03-29T19:40:03Z
dspace.date.submission2019-04-04T12:40:21Z
mit.journal.volume9en_US
mit.journal.issue12en_US


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