Journal article 880 views
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
,
C.G. Strouthos,
J.E. Clowser,
Chris Allton
Physical Review D, Volume: 66, Issue: 9
Swansea University Author:
Chris Allton
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DOI (Published version): 10.1103/PhysRevD.66.094511
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...
| Published in: | Physical Review D |
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| ISSN: | 0556-2821 1089-4918 |
| Published: |
2002
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa28491 |
| 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. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
9 |