TL;DR: In this paper, the authors give an explanation of the conservation of strong interactions which includes the effects of pseudoparticles, and they find it is a natural result for any theory where at least one flavor of fermion acquires its mass through a Yukawa coupling to a scalar field which has nonvanishing vacuum expectation value.
Abstract: We give an explanation of the $\mathrm{CP}$ conservation of strong interactions which includes the effects of pseudoparticles. We find it is a natural result for any theory where at least one flavor of fermion acquires its mass through a Yukawa coupling to a scalar field which has nonvanishing vacuum expectation value.
TL;DR: In this article, the dispersion charmonium theory was extended to include power terms due to the nonperturbative effects of QCD, and an estimate for the gluonic vacuum expectation value was derived.
TL;DR: In this article, the decay of a false vacuum in a single scalar field with nonderivative interactions is studied. But the decay is not restricted to the case of singular fields.
Abstract: It is possible for a classical field theory to have two homogeneous stable equilibrium states with different energy densities. In the quantum version of the theory, the state of higher energy density becomes unstable through barrier penetration; it is a false vacuum. This is the first of two papers developing the qualitative and quantitative semiclassical theory of the decay of such a false vacuum for theories of a single scalar field with nonderivative interactions. In the limit of vanishing energy density between the two ground states, it is possible to obtain explicit expressions for the relevant quantities to leading order in $h$; in the more general case, the problem can be reduced to solving a single nonlinear ordinary differential equation.
TL;DR: In this paper, the authors study the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields, and show how to calculate them from the behavior of perturbations to the AdS background near the boundary.
TL;DR: The Nambu-Jona-Lasinio (NJL) model as mentioned in this paper is a low-energy effective theory of QCD, and it has been applied to the system at finite temperature (T ) and density (ϱ) relevant to the early universe, interior of the neutron stars and the ultrarelativistic heavy ion collisions.