Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Volume Dependence of Hadron Properties and Lattice QCD   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.

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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat