Testing logarithmic violations to scaling in strongly coupled QED

Using very precise measurements of the critical couplings for the chiral transition of non-compact QED 4 in 10 4, 12 4 and 14 4 lattices we analyse the behaviour of the order parameter at the critical point using the equation of state of a logarithmically improved scalar mean field theory, that of t...

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Bibliographic Details
Published in:Physics letters. B 1996-06, Vol.379 (1), p.179-185
Main Authors: Azcoiti, V., Di Carlo, G., Galante, A., Grillo, A.F., Laliena, V., Piedrafita, C.E.
Format: Article
Language:English
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Summary:Using very precise measurements of the critical couplings for the chiral transition of non-compact QED 4 in 10 4, 12 4 and 14 4 lattices we analyse the behaviour of the order parameter at the critical point using the equation of state of a logarithmically improved scalar mean field theory, that of the Nambu-Jona Lasinio theory and a pure power law. The first case is definitively excluded by the numerical data. Contrary to that, very high quality fits can be found for the other two cases. A more complex analysis including the susceptibility is however able to clearly distinguish between the last two possibilities. Triviality à la Nambu-Jona Lasinio is also ruled out.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(96)00400-5