Quark condensates in the chiral bag with the Nambu-Jona-Lasinio interaction

We discuss the quark condensate of the vacuum inside the baryon. We analyze the $1+1$-dimensional chiral bag in analogy with the realistic $1+3$-dimensional one. The Nambu\char21{}Jona-Lasinio (NJL) type interaction is used to investigate the quark condensate in the chiral bag. Considering the strong meson-quark coupling, we solve the mean field solution to the scalar and pseudoscalar channels. Extracting the finite values of the chiral Casimir energy and the quark condensate by proper regularization, the resulting self-consistent equation allows a generation of a finite dynamical quark mass inside the bag.