We employ the Nambu Jona–Lasinio model to determine the vacuum pressure on the quarks in a baryon and hence their density inside. Then we estimate the baryonic masses by implementing the local density approximation for the mean field quark energies obtained in a uniform and isotropic system. We obtain a fair agreement with the experimental masses.

The failure to calculate the vacuum energy is a central problem in theoretical physics. Presumably arises from insistent use of effective field theory reasoning context that well beyond its intended scope. If one follows this path, led inevitably statistical or anthropic for observations. It appears more palatable resolution requires some form UV/IR feedback. In paper we take point view such fe...

Abstract In this paper, we show that the density in energy of Lipschitz functions a Sobolev space $$N^{1,p}(X)$$ N 1 , p ( X ) holds for all $$p\in [1,\infty )$$ ...