Thimble regularization at work besides toy models: from Random Matrix Theory to Gauge Theories

Autor:	Eruzzi, G., Di Renzo, F.
Rok vydání:	2015
Předmět:	High Energy Physics - Lattice High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	Thimble regularization as a solution to the sign problem has been successfully put at work for a few toy models. Given the non trivial nature of the method (also from the algorithmic point of view) it is compelling to provide evidence that it works for realistic models. A Chiral Random Matrix theory has been studied in detail. The known analytical solution shows that the model is non-trivial as for the sign problem (in particular, phase quenched results can be very far away from the exact solution). This study gave us the chance to address a couple of key issues: how many thimbles contribute to the solution of a realistic problem? Can one devise algorithms which are robust as for staying on the correct manifold? The obvious step forward consists of applications to gauge theories. Comment: 7 pages, 1 figure. Talk given at the Lattice2015 Conference
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.06051 Zobrazit plný text záznamu View this record from Arxiv