Spectral study of a chiral limit without chiral condensate

Autor:	Bietenholz, Wolfgang, Hip, Ivan
Rok vydání:	2009
Předmět:	High Energy Physics - Lattice High Energy Physics - Theory
Zdroj:	PoS LAT2009:086,2009
Druh dokumentu:	Working Paper
Popis:	Random Matrix Theory (RMT) has elaborated successful predictions for Dirac spectra in field theoretical models. However, a generic assumption by RMT has been a non-vanishing chiral condensate $\Sigma$ in the chiral limit. Here we consider the 2-flavour Schwinger model, where this assumption does not hold. We simulated this model with dynamical overlap hypercube fermions, and entered terra incognita by analysing this Dirac spectrum. The usual RMT prediction for the unfolded level spacing distribution in a unitary ensemble is precisely confirmed. The microscopic spectrum does not perform a Banks-Casher plateau. Instead the obvious expectation is a density of the lowest eigenvalue $\lambda_{1}$ which increases $\propto \lambda_{1}^{1/3}$. That would correspond to a scale-invariant parameter $\propto \lambda V^{3/4}$, which is, however, incompatible with our data. Instead we observe to high precision a scale-invariant parameter $z \propto \lambda V^{5/8}$. This surprising result implies a microscopic spectral density $\propto \lambda_1^{3/5}$, which still remains to be understood in the light of RMT. Comment: 8 pages, 6 figures, contribution to the XXVII International Symposium on Lattice Field Theory (LAT2009) in Beijing
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0909.2241 Zobrazit plný text záznamu View this record from Arxiv