Abstract
We study the regularization dependence of the Nambu-Jona--Lasinio model (NJL) predictions for some properties of magnetized quark matter at zero temperature (and baryonic density) in the mean field approximation. The model parameter dependence for each regularization procedure is also analyzed in detail. We calculate the average and difference of the quark condensates using different regularization methods and compare with recent lattice results. In this context, the reliability of the different regularization procedures is discussed.
Highlights
Many efforts have been dedicated to studying quantum chromodynamics (QCD) under extreme conditions such as very high temperatures and densities [1]
As exhaustively discussed in this work, in the magnetic field independent regularization (MFIR) scheme for the calculation of the condensates an exact separation of magnetic and nonmagnetic vacuum contributions is performed before the adopted regularization prescription is applied
These figures already show the presence of a nonphysical oscillatory behavior
Summary
Many efforts have been dedicated to studying quantum chromodynamics (QCD) under extreme conditions such as very high temperatures and densities [1]. The paper has been organized as follows: in Sec. II we evaluate the quark condensates within the NJL model in the presence of a constant magnetic field. As mentioned in the Introduction, our aim here is to compare the dependence of the quark condensates on the magnetic field with the existing lattice results, where the condensates are calculated within the NJL model using different regularizations. By fitting the pion mass and its decay constant to their empirical values mπ 1⁄4 138 MeV and fπ 1⁄4 92.4 MeV, respectively, and the average quark condensate Φ 0 to values within the phenomenological range −Φ10=3 1⁄4220–260MeV
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
