Particle creations in the pseudoparticle gravitational fields

The origin of black hole radiation seems to be a pseudoparticle nature with a non-vanishing Euler characteristic of the Schwarzshild metric. In order to develop this idea, the particle creation in another typical pseudoparticle space-time, which was derived by rewriting the Belavin-type vector potential into a metric form through the SL(2, C) gauge theory of general relativity, is analyzed. It is shown by the path-integral approach that the particle creation can indeed occur, with an incomplete thermal energy spectrum because of its non-uniform temperature and non-zero chemical potential. Some discussion on the results and the comparisons with the cases of black hole radiation and cosmological particle creation are also made. (author)