A study of finite size corrections to the masses of fermions and bound states in the Baxter/massive Thirring/sine Gordon lattice field theory is discussed. It is shown that information on bound tate wave functions may be used to extrapolate Monte Carlo mass calculations to infinite volume. 10 refs., 4 figs.

Jun 1, 19850 citations

Physics Letters B

Thermal distribution functions and finite-size effects for lattice fermions

Hiroshi Matsuoka, Michael Stone

Published Mar 1, 1984• 18 citations

Publisher

DOI: 10.1016/0370-2693(84)91182-1

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[n(k)]

and the density-density structure factor

[N(k)]

, respectively, and study the effects of approaching an integrable point. We show that while the relaxation dynamics and thermalization of

N(k)

for fermions is very similar to the one of hardcore bosons, the behavior of

n(k)

is distinctively different. The latter observable exhibits a slower relaxation dynamics in fermionic systems. We identify the origin of this behavior, which is related to the off-diagonal matrix elements of

n(k)

in the basis of the eigenstates of the Hamiltonian. More generally, we find that thermalization occurs far away from integrability and that it breaks down as one approaches the integrable point.