Improved Hamiltonians for lattice gauge theory with fermions

Improved lattice QCD with quarks: The two-dimensional case

“…Similar to the Hamber-Wu action [5], where some next-nearest-neighbor interaction terms are added to the Wilson action to cancel the O(ra) error, we proposed a O(a 2 ) improved Hamiltonian in Ref. [12]:…”

“…As is shown later, the results for lattice QCD 2 with Wilson quarks were found to be strongly dependent on the unphysical Wilson parameter r, the coefficient of the O(a) error term. The purpose of this paper is to show that in the case of QCD 2 , the improved theory [12] can significantly reduce these errors.…”

“…II, we review some features of the Hamiltonian approach as well as the improved Hamiltonian for quarks proposed in Ref. [12]. In Sect.…”

Why use a Hamilton approach in QCD?

“…Improvement of the fermionic sector of a lattice Hamiltonian has been carried out for QCD 1+1 by Luo et al in Ref. [11]. A numerical study was carried out by Jiang et al [12].…”

0++glueball wave function for improved SU(2) lattice gauge theory in(2+1)dimensions

“…Several numerical simulations [9][10][11] of hadron spectroscopy have been performed by using the Hamber-Wu action. In 1994, we proposed several improved lattice Hamiltonians for fermions [12] to reduce the errors from OðaÞ to Oða 2 Þ. In 1999, we showed that our improved theory leads to a significant reduction of finite errors through the calculations of the quark condensate and the vector mass of ð1 þ 1Þ-dimensional QCD [13].…”