Asymptotics of LQG fusion coefficients - INSPIRE

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Asymptotics of LQG fusion coefficients

Emanuele Alesci
(
- Marseille, CPT and
- Lyon, Ecole Normale Superieure
)
,
Eugenio Bianchi
(
- Marseille, CPT and
- Pisa, Scuola Normale Superiore
)
,
Elena Magliaro
(
- Marseille, CPT and
- Rome III U.
)
,
Claudio Perini
(
- Marseille, CPT and
- Rome III U.
)

Sep, 2008

14 pages

Published in:

Class.Quant.Grav. 27 (2010) 095016

e-Print:

0809.3718 [gr-qc]

DOI:

10.1088/0264-9381/27/9/095016

View in:

reference search22 citations

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Abstract: (arXiv)

The fusion coefficients from SO(3) to SO(4) play a key role in the definition of spin foam models for the dynamics in Loop Quantum Gravity. In this paper we give a simple analytic formula of the EPRL fusion coefficients. We study the large spin asymptotics and show that they map SO(3) semiclassical intertwiners into

SU(2)_L\times SU(2)_R

semiclassical intertwiners. This non-trivial property opens the possibility for an analysis of the semiclassical behavior of the model.

Note:

14 pages, minor changes

quantum gravity: loop space
spin: foam
semiclassical
fusion
SO(3)
SO(4)
asymptotic behavior
SU(2) x SU(2)
numerical calculations

References(30)

Figures(9)

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)

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(
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)

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Emanuele Alesci
(
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)
,
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Francesco Sardelli
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)

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Elena Magliaro
(
- Rome III U. and
- Marseille, CPT
)
,
Claudio Perini
(
- Rome III U. and
- Marseille, CPT
)
,
Carlo Rovelli
(
- Rome III U. and
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)

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•
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Emanuele Alesci
(
- Marseille, CPT and
- Ecole Normale Superieure
)
,
Eugenio Bianchi
(
- Marseille, CPT and
- Pisa, Scuola Normale Superiore
)
,
Elena Magliaro
(
- Marseille, CPT and
- Rome III U.
)
,
Claudio Perini
(
- Marseille, CPT and
- Rome III U.
)

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•
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Igor Khavkine
(
- Western Ontario U.
)

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•
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Carlo Rovelli
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)

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)
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)
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)

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•
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Eugenio Bianchi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
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(
- Bologna U. and
- INFN, Bologna and
- Marseille, CPT
)

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(
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)
,
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(
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)

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Abhay Ashtekar
(
- Penn State U.
)
,
Jerzy Lewandowski
(
- Warsaw U. and
- Potsdam, Max Planck Inst.
)

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•
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Abhay Ashtekar
(
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- Schrodinger Inst., Vienna
)
,
Jerzy Lewandowski
(
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(
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)

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)

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(
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- Marseille, CPT
)

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Emanuele Alesci
(
- Rome U. and
- Marseille, CPT
)
,
Carlo Rovelli
(
- Marseille, CPT
)

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