New length operator for loop quantum gravity

Yongge Ma, Chopin Soo, Jinsong Yang

研究成果: Article同行評審

37 引文 斯高帕斯(Scopus)

摘要

An alternative expression for the length operator in loop quantum gravity is presented. The operator is background independent, symmetric, positive semidefinite, and well defined on the kinematical Hilbert space. The expression for the regularized length operator can moreover be understood both from a simple geometrical perspective as the average of a formula relating the length to area, volume and flux operators, and also consistently as the result of direct substitution of the densitized triad operator with the functional derivative operator into the regularized expression of the length. Both these derivations are discussed, and the origin of an undetermined overall factor in each case is also elucidated.

原文English
文章編號124026
期刊Physical Review D - Particles, Fields, Gravitation and Cosmology
81
發行號12
DOIs
出版狀態Published - 2010 六月 9

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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