Spectroscopy and Renormalisation Group Flow of a Lattice Nambu-Jona-Lasinio Model
A. Ali Khan, M. Goeckeler, R. Horsley, P.E.L. Rakow, G. Schierholz and, H. Stueben
TL;DR
This study uses lattice simulations and Schwinger-Dyson equations to analyze a Nambu-Jona-Lasinio model, focusing on particle identification, phase transitions, and renormalization group flows, concluding the model is non-renormalizable.
Contribution
It provides a comparative analysis of lattice and continuum methods for the NJL model, highlighting the non-renormalizability near the critical coupling.
Findings
No renormalizability found in the model.
Finite size effects influence particle identification.
Renormalization group flows analyzed near phase transition.
Abstract
We investigate a lattice Nambu--Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to the identification of particles and resonances. This enables us to discuss renormalisation group flows in the neighbourhood of the critical coupling where the chiral symmetry breaking phase transition takes place. In no region of the bare parameter space do we find renormalisability for the model.
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