Application of the Maximum Entropy Method to the (2+1)d Four-Fermion Model

Details Application of the Maximum Entropy Method to the (2+1)d Four-Fermion Model Application of the Maximum Entropy Method to the (2+1)d Four-Fermion Model

2002-08-19

arxiv.org/abs/hep-lat/0208027v1

Phys.Rev. D66 (2002) 094511

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 13 figures

Scientific paper

10.1103/PhysRevD.66.094511

We investigate spectral functions extracted using the Maximum Entropy Method from correlators measured in lattice simulations of the (2+1)-dimensional four-fermion model. This model is particularly interesting because it has both a chirally broken phase with a rich spectrum of mesonic bound states and a symmetric phase where there are only resonances. In the broken phase we study the elementary fermion, pion, sigma and massive pseudoscalar meson; our results confirm the Goldstone nature of the pi and permit an estimate of the meson binding energy. We have, however, seen no signal of sigma -> pi pi decay as the chiral limit is approached. In the symmetric phase we observe a resonance of non-zero width in qualitative agreement with analytic expectations; in addition the ultra-violet behaviour of the spectral functions is consistent with the large non-perturbative anomalous dimension for fermion composite operators expected in this model.

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