Difference between revisions of "Overlap"

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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>D_0 \eta</math>
+
<math>D_0 \vec{\eta} = \vec{x} </math>

Revision as of 09:24, 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

\(D_0 = \rho(1+\gamma_5)\epsilon(H)\)

Given a vector \(\vec{\eta}\), we want to compute the solution \(\vec{x}\), which is the matrix vector multiplication

\(D_0 \vec{\eta} = \vec{x} \)