Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Loop States in Loop Quantum Gravity   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.

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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat