Finite Volume Dependence of Hadron Properties and Lattice QCD

Abstract

Because the time needed for a simulation in lattice QCD varies at a rate exceeding the fourth power of the lattice size, it is important to understand how small one can make a lattice without altering the physics beyond recognition. It is common to use a rule of thumb that the pion mass times the lattice size should be greater than (ideally much greater than) four (i.e., $m_{\pi }L\gg 4$). By considering a relatively simple chiral quark model we are led to suggest that a more realistic constraint would be $m_{\pi }(L-2R)\gg 4$, where $R$ is the radius of the confinement region, which for these purposes could be taken to be around 0.8-1.0 fm. Within the model we demonstrate that violating the second condition can lead to unphysical behaviour of hadronic properties as a function of pion mass. In particular, the axial charge of the nucleon is found to decrease quite rapidly as the chiral limit is approached.

Invited talk at GHP2004, Fermilab

References in corpus (1)

• Nucleon Properties at Finite Volume: the Epsilon Prime Regime

Cited by in corpus (3)

• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Nucleon axial charge in 2+1 flavor dynamical lattice QCD with domain wall fermions
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume