Complexity phenomena induced by novel symmetry and symmetry-breakings with antiscreening at cosmological scales--a tutorial
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symmetry-09-00306-v3.pdf
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214.41 KB
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3db8db19027679fda969f12f43edd6ac
Author(s)
Chang, Tom
Date Issued
December 7, 2017
Journal
Symmetry
Publisher
Multidisciplinary Digital Publishing Institute
Citation
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)
Version
Final published version
Abstract
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
MIT Department
MIT Kavli Institute for Astrophysics and Space Research
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.3390/sym9120306
