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Application of the maximum entropy method to the(2+1)Dfour-fermion model / J.B. Kogut, S.J. Hands, C.G. Strouthos, J.E. Clowser, Chris Allton

Physical Review D, Volume: 66, Issue: 9

Swansea University Author: Chris Allton

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Abstract

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 a...

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Published in: Physical Review D
ISSN: 0556-2821 1089-4918
Published: 2002
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URI: https://cronfa.swan.ac.uk/Record/cronfa28491
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Abstract: 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.
College: College of Science
Issue: 9