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20042020
most citedCovariance in models of loop quantum gravity: Spherical symmetry

109 citations

Showing 2012Show all

9 papers · 1 filter

math-ph2012★ 6 cited

Classical Klein-Gordon solutions, symplectic structures and isometry actions on AdS spacetimes

Max Dohse

We study classical, real Klein-Gordon theory on Lorentzian Anti de Sitter (AdS_{1,d}) spacetimes with spatial dimension d. We give a complete list of well defined and bounded Klein…

quant-ph2012★ 14 cited

A positive formalism for quantum theory in the general boundary formulation

Robert Oeckl

We introduce a new "positive formalism" for encoding quantum theories in the general boundary formulation, somewhat analogous to the mixed state formalism of the standard formulati…

gr-qc2012

On the choice of time in the continuum limit of polymeric effective theories

Alejandro Corichi, Tatjana Vukasinac

In polymeric quantum theories, a natural question pertains to the so called continuum limit, corresponding to the limit where the `discreteness parameter' approaches zero. In p…

math.KT2012

The lower algebraic -theory of virtually cyclic subgroups of the braid groups of the sphere and of

John Guaschi, Daniel Juan-Pineda, Silvia Millán-López

We study -theoretical aspects of the braid groups on strings of the -sphere, which by results of the second two authors, are known to satisfy the F…

gr-qc2012★ 2 cited

Energy of test objects on black hole spacetimes: A brief review

Alejandro Corichi

In this paper, we review the issue of defining energy for test particles on a background stationary spacetime. We revisit the different notions of energy as defined by different ob…

math.NT2012★ 5 cited

On the Counting Function of Elliptic Carmichael Numbers

Florian Luca, Igor E. Shparlinski

We give an upper bound for the number elliptic Carmichael numbers that have recently been introduced by J. H. Silverman. We also discuss several possible ways for further…

gr-qc2012★ 25 cited

Effective constrained polymeric theories and their continuum limit

Alejandro Corichi, Tatjana Vukasinac

The classical limit of polymer quantum theories yields a one parameter family of `effective' theories labeled by λ. Here we consider such families for constrained theories and pose…

gr-qc2012★ 33 cited

Effective Dynamics in Bianchi Type II Loop Quantum Cosmology

Alejandro Corichi, Edison Montoya

We numerically investigate the solutions to the effective equations of the Bianchi II model within the "improved" Loop Quantum Cosmology (LQC) dynamics. The matter source is a mass…

hep-th2012★ 14 cited

Schrödinger-Feynman quantization and composition of observables in general boundary quantum field theory

Robert Oeckl

We show that the Feynman path integral together with the Schrödinger representation gives rise to a rigorous and functorial quantization scheme for linear and affine field theories…