Generating series and asymptotics of classical spin networks

Costantino, Francesco, and Marché, Julien. "Generating series and asymptotics of classical spin networks." Journal of the European Mathematical Society 017.10 (2015): 2417-2452. <http://eudml.org/doc/277226>.

@article{Costantino2015,
abstract = {We study classical spin networks with group SU$_2$. In the first part, using Gaussian integrals, we compute their generating series in the case where the edges are equipped with holonomies; this generalizes Westbury’s formula. In the second part, we use an integral formula for the square of the spin network and perform stationary phase approximation under some non-degeneracy hypothesis. This gives a precise asymptotic behavior when the labels are rescaled by a constant going to infinity.},
author = {Costantino, Francesco, Marché, Julien},
journal = {Journal of the European Mathematical Society},
keywords = {spin networks; generating series; asymptotical behavior; saddle point method; coherent states; spin networks; generating series; asymptotical behavior; saddle point method; coherent states},
language = {eng},
number = {10},
pages = {2417-2452},
publisher = {European Mathematical Society Publishing House},
title = {Generating series and asymptotics of classical spin networks},
url = {http://eudml.org/doc/277226},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Costantino, Francesco
AU - Marché, Julien
TI - Generating series and asymptotics of classical spin networks
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 10
SP - 2417
EP - 2452
AB - We study classical spin networks with group SU$_2$. In the first part, using Gaussian integrals, we compute their generating series in the case where the edges are equipped with holonomies; this generalizes Westbury’s formula. In the second part, we use an integral formula for the square of the spin network and perform stationary phase approximation under some non-degeneracy hypothesis. This gives a precise asymptotic behavior when the labels are rescaled by a constant going to infinity.
LA - eng
KW - spin networks; generating series; asymptotical behavior; saddle point method; coherent states; spin networks; generating series; asymptotical behavior; saddle point method; coherent states
UR - http://eudml.org/doc/277226
ER -