Zobrazeno 1 - 10
of 420
pro vyhledávání: '"Ponzano–Regge model"'
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:
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:
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
Publikováno v:
J. Phys. A: Math. Theor. 43 115203 (2010)
Using the coherent state techniques developed for the analysis of the EPRL model we give the asymptotic formula for the Ponzano-Regge model amplitude for non-tardis triangulations of handlebodies in the limit of large boundary spins. The formula prod
Externí odkaz:
http://arxiv.org/abs/0909.2027
Autor:
Freidel, Laurent, Louapre, David
We provide a mathematical definition of the gauge fixed Ponzano-Regge model showing that it gives a measure on the space of flat connections whose volume is well defined. We then show that the Ponzano-Regge model can be equivalently expressed as Resh
Externí odkaz:
http://arxiv.org/abs/gr-qc/0410141
Autor:
Freidel, Laurent, Louapre, David
Publikováno v:
Class.Quant.Grav. 21 (2004) 5685-5726
We show how to properly gauge fix all the symmetries of the Ponzano-Regge model for 3D quantum gravity. This amounts to do explicit finite computations for transition amplitudes. We give the construction of the transition amplitudes in the presence o
Externí odkaz:
http://arxiv.org/abs/hep-th/0401076
Autor:
Barrett, John W., Naish-Guzman, Ileana
The Ponzano-Regge model of three-dimensional quantum gravity is well-defined when the observables satisfy a certain condition involving the twisted cohomology. In this case, the partition function is defined in terms of the Reidemeister torsion. Some
Externí odkaz:
http://arxiv.org/abs/gr-qc/0612170
Autor:
Hackett, Jonathan, Speziale, Simone
Publikováno v:
Class.Quant.Grav.24:1525-1546,2007
We show how the expectation values of geometrical quantities in 3d quantum gravity can be explicitly computed using grasping rules. We compute the volume of a labelled tetrahedron using the triple grasping. We show that the large spin expansion of th
Externí odkaz:
http://arxiv.org/abs/gr-qc/0611097
Autor:
Freidel, Laurent, Livine, Etera R.
Publikováno v:
Class.Quant.Grav.23:2021-2062,2006
We study the no gravity limit G_{N}-> 0 of the Ponzano-Regge amplitudes with massive particles and show that we recover in this limit Feynman graph amplitudes (with Hadamard propagator) expressed as an abelian spin foam model. We show how the G_{N} e
Externí odkaz:
http://arxiv.org/abs/hep-th/0502106