On Loop States in Loop Quantum Gravity

Details On Loop States in Loop Quantum Gravity On Loop States in Loop Quantum Gravity

2006-11-30

arxiv.org/abs/gr-qc/0611156v2

Class.Quant.Grav.24:2179-2192,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 3 figures, the version to be published in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/24/9/002

We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3-d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid rotators on the links of the lattice. The loop states are constructed using the Schwinger bosons which are harmonic oscillators in the fundamental (spin half) representation of SU(2). Using generalized Wigner Eckart theorem, we compute the matrix elements of the volume operator in the loop basis. Some simple loop eigenstates of the volume operator are explicitly constructed.

Affiliated with

Also associated with

No associations

Rating

On Loop States in Loop Quantum Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Loop States in Loop Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Loop States in Loop Quantum Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422743