The gauged Nambu - Jona Lasinio model: a mean field calculation with non mean field exponents

Details The gauged Nambu - Jona Lasinio model: a mean field calculation with non mean field exponents The gauged Nambu - Jona Lasinio model: a mean field calculation with non mean field exponents

1996-01-30

arxiv.org/abs/hep-lat/9601027v1

Phys.Lett. B355 (1995) 279

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, figures on request

Scientific paper

We analyse the phase diagram of the lattice gauged Nambu-Jona Lasinio model with the help of a mean field approximation plus numerical simulations. We find a phase transition line in the coupling parameters space separating the chirally broken phase from the symmetric phase, which is in good qualitative agreement with results obtained in the quenched-ladder approximation. The mean field approximation relates the critical exponents along the continuous phase transition line with the mass dependence of the chiral condensate in the Coulomb phase of standard noncompact $QED$. Our numerical results for noncompact $QED$ strongly suggest non mean field exponents along the critical line.

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