Two-current correlations in the pion in the Nambu and Jona-Lasinio model
A.~Courtoy, Santiago Noguera, Sergio Scopetta
TL;DR
This paper analyzes two-current correlations in the pion using the Nambu--Jona-Lasinio model, providing explicit momentum-space expressions and comparing results with lattice data, revealing good qualitative agreement.
Contribution
It introduces explicit momentum-space expressions for two-current correlations in the pion within the NJL model and compares them with lattice QCD results.
Findings
Qualitative agreement with lattice data
Explicit momentum-space correlation expressions
Discussion of factorization approximation
Abstract
We present an analysis of two-current correlations for the pion in the Nambu--Jona-Lasinio model, with Pauli--Villars regularization. We provide explicit expressions in momentum space for two-current correlations corresponding to the zeroth component of the vector Dirac bilinear in the quark vertices, which has been evaluated on the lattice. The numerical results show a remarkable qualitative agreement with recent lattice data. The factorization approximation into one-body currents is discussed.
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