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Cho, Yongmin
School of Natural Science
Research Interests
  • Higher-dimensional Unified Field Theory
  • High Energy Physics and QCD Color Confinement


Abelian dominance in Einstein's theory

DC Field Value Language Cho, Yongmin ko Oh, S. H. ko Kim, Sang-Woo ko 2014-04-10T01:13:05Z - 2013-06-07 ko 2012-10 -
dc.identifier.citation CLASSICAL AND QUANTUM GRAVITY, v.29, no.20, pp. - ko
dc.identifier.issn 0264-9381 ko
dc.identifier.uri -
dc.identifier.uri ko
dc.description.abstract We conjecture the Abelian dominance in Einstein's theory, that is, the Abelian part of the theory plays the central role in the dynamics. Treating Einstein's theory as a gauge theory of the Lorentz group, we show that Einstein's theory can be decomposed into the restricted part made up of the restricted connection which has the full Lorentz gauge invariance and the valence part made up of the valence connection which plays the role of gravitational source of the restricted gravity. In this decomposition, the role of the metric g(mu nu) is replaced by a four-index metric tensor g(mu nu) which transforms covariantly under the Lorentz group, and the metric-compatibility condition del(alpha)g(mu nu) = 0 of the connection is replaced by the gauge and generally covariant condition D(mu)g(mu nu) = 0. We show that there are two different Abelian decompositions, the light-like (or null) decomposition and the non-light-like (or non-null) decomposition, because the Lorentz group has two maximal Abelian subgroups. The decomposition shows the existence of the restricted gravity which has the full general invariance but is much simpler than Einstein's theory. Moreover, it tells us that the restricted gravity can be written as an Abelian gauge theory, which implies that the graviton can be described by a massless spin-1 field. This establishes the Abelian dominance in Einstein's theory. ko
dc.description.statementofresponsibility close -
dc.language ENG ko
dc.publisher IOP PUBLISHING LTD ko
dc.subject YANG-MILLS THEORY ko
dc.subject GAUGE-THEORY ko
dc.subject MONOPOLES ko
dc.subject SYMMETRY ko
dc.subject TOPOLOGY ko
dc.subject MASS ko
dc.subject QCD ko
dc.title Abelian dominance in Einstein's theory ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84866252568 ko
dc.identifier.wosid 000309050500008 ko
dc.type.rims ART ko
dc.description.wostc 1 *
dc.description.scopustc 1 * 2015-02-28 * 2014-07-12 *
dc.identifier.doi 10.1088/0264-9381/29/20/205007 ko
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