English

Two-current correlations in the pion in the Nambu and Jona-Lasinio model

High Energy Physics - Phenomenology 2020-10-28 v1 Nuclear Theory

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.

Keywords

Cite

@article{arxiv.2006.05300,
  title  = {Two-current correlations in the pion in the Nambu and Jona-Lasinio model},
  author = {A. ~Courtoy and Santiago Noguera and Sergio Scopetta},
  journal= {arXiv preprint arXiv:2006.05300},
  year   = {2020}
}

Comments

19 pages, 9 figures. arXiv admin note: text overlap with arXiv:1909.09530