Difference between revisions of "Overlap"
From Gw-qcd-wiki
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The massless overlap is defined by | The massless overlap is defined by | ||
| − | <math>\mathbf{D_0} = \rho(1+\gamma_5) | + | <math>\mathbf{D_0} = \rho(1+\gamma_5)\epsilon(H)</math> |
Given a vector <math>\vec{\eta}</math>, we want to compute the solution <math>\vec{x}</math>, which is the matrix vector multiplication | Given a vector <math>\vec{\eta}</math>, we want to compute the solution <math>\vec{x}</math>, which is the matrix vector multiplication | ||
<math>\mathbf{D_0} \vec{\eta} = \vec{x} </math> | <math>\mathbf{D_0} \vec{\eta} = \vec{x} </math> | ||
Revision as of 09:26, 31 August 2010
The intention of these notes is to outline how we construct the overlap operator in the gwu-qcd framework. The overlap operator preserves chiral symmetry on the lattice, and is the most ideal operator used to explore low pion masses. The massless overlap is defined by
\(\mathbf{D_0} = \rho(1+\gamma_5)\epsilon(H)\)
Given a vector \(\vec{\eta}\), we want to compute the solution \(\vec{x}\), which is the matrix vector multiplication
\(\mathbf{D_0} \vec{\eta} = \vec{x} \)
