The Slab Method to Measure the Topological Susceptibility

Autor:	Bietenholz, Wolfgang, Cichy, Krzysztof, de Forcrand, Philippe, Dromard, Arthur, Gerber, Urs
Rok vydání:	2016
Předmět:	High Energy Physics - Lattice Condensed Matter - Statistical Mechanics High Energy Physics - Phenomenology
Druh dokumentu:	Working Paper
Popis:	In simulations of a model with topological sectors, algorithms which proceed in small update steps tend to get stuck in one sector, especially on fine lattices. This distorts the numerical results; in particular it is not straightforward to measure the topological susceptibility chi_t. We test a method to measure chi_t even if configurations from only one sector are available. It is based on the topological charges in sub-volumes, which we denote as "slab". This enables the evaluation of chi_t, as we demonstrate with numerical results for non-linear sigma-models and for 2-flavour QCD. In the latter case, the gradient flow is applied for the smoothing of the gauge configurations, and the slab method results for chi_t are stable over a broad range of flow times. Comment: 7 pages, 7 figures, talk presented at the 34th International Symposium on Lattice Field Theory, 24-30 July 2016, Southampton, UK. Minor corrections, references added, Fig. 5 replaced
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1610.00685 Zobrazit plný text záznamu View this record from Arxiv