اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدHubbard Model and Luscher fermions
149
0
0.0
(
0
)
تأليف
P. Sawicki
اسأل ChatGPT حول البحث
ﻻ يوجد ملخص باللغة العربية
We discuss numerical complexity of the Luscher algorithm applied to the Hubbard Model. In particular we present comparison to a certain algorithm based on direct computation of the fermionic determinant.
قيم البحث
اقرأ أيضاً
We study the basic features of the two-dimensional quantum Hubbard Model at half-filling by means of the Luscher algorithm and the algorithm based on direct update of the determinant of the fermionic matrix. We implement the Luscher idea employing th
e transfer matrix formalism which allows to formulate the problem on the lattice in $(2+1)$ dimensions. We discuss the numerical complexity of the Luscher technique, systematic errors introduced by polynomial approximation and introduce some improvements which reduce long autocorrelations. In particular we show that preconditioning of the fermionic matrix speeds up the algorithm and extends the available range of parameters. We investigate the magnetic and the one-particle properties of the Hubbard Model at half-filling and show that they are in qualitative agreement with the existing Monte Carlo data and the mean-field predictions.
Some modifications of the Luscher algorithm, which reduce the autocorelation time, are proposed and tested.
We show the equivalence of the 2D Ising model to standard free Euclidean lattice fermions of the Wilson Majorana type. The equality of the loop representations for the partition functions of both systems is established exactly for finite lattices wit
h well-defined boundary conditions. The honeycomb lattice is particularly simple in this context and therefore discussed first and only then followed by the more familiar square lattice case.
The effects of unquenching on the perturbative improvement coefficients in the Symanzik action are computed within the framework of Luscher-Weisz on-shell improvement. We find that the effects of quark loops are surprisingly large, and their omission
may well explain the scaling violations observed in some unquenched studies.
The effects of unquenching on the perturbative improvement coefficients in the Symanzik action are computed within the framework of Luscher-Weisz on-shell improvement. We find that the effects of quark loops are surprisingly large, and their omission
may well explain the scaling violations observed in some unquenched studies.
سجل دخول لتتمكن من نشر تعليقات
التعليقات
جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
