Zobrazeno 1 - 10
of 7 612
pro vyhledávání: '"Ponzano A"'
Autor:
Livine, Etera R.
We investigate the propagator of 3d quantum gravity, formulated as a discrete topological path integral. We define it as the Ponzano-Regge amplitude of the solid cylinder swept by a 2d disk evolving in time. Quantum states for a 2d disk live in the t
Externí odkaz:
http://arxiv.org/abs/2107.03264
Akademický článek
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Publikováno v:
IOP Conf. Series:Journal of Physics: Conf Series 965 (2018) 012005
We present a novel hierarchical construction of projective spin networks of the Ponzano-Regge type from an assembling of five quadrangles up to the combinatorial 4-simplex compatible with a geometrical realization in Euclidean 4-space. The key ingren
Externí odkaz:
http://arxiv.org/abs/1802.09423
This is the first of a series of papers dedicated to the study of the partition function of three-dimensional quantum gravity on the twisted solid torus with the aim to deepen our understanding of holographic dualities from a non-perturbative quantum
Externí odkaz:
http://arxiv.org/abs/1710.04202
Autor:
Bréhamet, Lionel
We adapt the Gurau's proof (2008) about the asymptotic limit of Ponzano-Regge formula to supersymmetric 6jS symbols according to their intrinsic parities alpha, beta, gamma. The behaviour at a large scaling shows significant differences depending on
Externí odkaz:
http://arxiv.org/abs/1512.06541
Autor:
Oriti, Daniele, Raasakka, Matti
Publikováno v:
SIGMA 10 (2014), 067, 32 pages
We apply the non-commutative Fourier transform for Lie groups to formulate the non-commutative metric representation of the Ponzano-Regge spin foam model for 3d quantum gravity. The non-commutative representation allows to express the amplitudes of t
Externí odkaz:
http://arxiv.org/abs/1401.5819
Autor:
Vargas, T
The connection between angular momentum in quantum mechanics and geometric objects is extended to manifold with torsion. First, we notice the relation between the $6j$ symbol and Regge's discrete version of the action functional of Euclidean three di
Externí odkaz:
http://arxiv.org/abs/1307.2624
Autor:
Barrett, John W., Naish-Guzman, Ileana
Publikováno v:
Class.Quant.Grav.26:155014,2009
The definition of the Ponzano-Regge state-sum model of three-dimensional quantum gravity with a class of local observables is developed. The main definition of the Ponzano-Regge model in this paper is determined by its reformulation in terms of group
Externí odkaz:
http://arxiv.org/abs/0803.3319
Autor:
Li, Dan
Publikováno v:
Comm. Math. Phys. 327(1), 243-260, 2014
We give a parametric representation of the effective noncommutative field theory derived from a $\kappa$-deformation of the Ponzano-Regge model and define a generalized Kirchhoff polynomial with $\kappa$-correction terms, obtained in a $\kappa$-linea
Externí odkaz:
http://arxiv.org/abs/1110.5079
Autor:
Yu, Liang
There are two types of asymptotic formulas for the $12j$ symbol with one small and 11 large angular momenta. We have derived the first type of formula previously in [L. Yu, Phys. Rev. A84 022101 (2011)]. We will derive the second type in this paper.
Externí odkaz:
http://arxiv.org/abs/1108.1881