Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial
Complexity 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 for...
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| Format: | Article |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | https://hdl.handle.net/1721.1/125118 |
| _version_ | 1826197596817850368 |
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| author | Chang, Tom |
| author2 | MIT Kavli Institute for Astrophysics and Space Research |
| author_facet | MIT Kavli Institute for Astrophysics and Space Research Chang, Tom |
| author_sort | Chang, Tom |
| collection | MIT |
| description | Complexity 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 matter |
| first_indexed | 2024-09-23T10:50:03Z |
| format | Article |
| id | mit-1721.1/125118 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:50:03Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | mit-1721.1/1251182022-09-27T15:22:17Z Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial Chang, Tom MIT Kavli Institute for Astrophysics and Space Research Complexity 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 matter 2020-05-07T18:52:02Z 2020-05-07T18:52:02Z 2017-12-07 2017-11 2019-03-29T19:40:03Z Article http://purl.org/eprint/type/JournalArticle 2073-8994 https://hdl.handle.net/1721.1/125118 Chang, 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) 10.3390/sym9120306 Symmetry Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ application/pdf Multidisciplinary Digital Publishing Institute Multidisciplinary Digital Publishing Institute |
| spellingShingle | Chang, Tom Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial |
| title | Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial |
| title_full | Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial |
| title_fullStr | Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial |
| title_full_unstemmed | Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial |
| title_short | Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial |
| title_sort | complexity phenomena induced by novel symmetry and symmetry breakings with antiscreening at cosmological scales a tutorial |
| url | https://hdl.handle.net/1721.1/125118 |
| work_keys_str_mv | AT changtom complexityphenomenainducedbynovelsymmetryandsymmetrybreakingswithantiscreeningatcosmologicalscalesatutorial |