J. Schaldach et al., SPONTANEOUS ANNIHILATION OF HIGH-DENSITY MATTER IN THE ELECTROWEAK THEORY, Physical review. D. Particles and fields, 54(4), 1996, pp. 2814-2828
Ln the presence of fermionic matter the topologically distinct vacua o
f the standard model are metastable and can decay by tunneling through
the sphaleron barrier. This process annihilates one fermion per doubl
et due to the anomalous nonconservation of baryon and lepton currents
and is accompanied by a production of gauge and Higgs bosons. We prese
nt a numerical method to obtain local bounce solutions which minimize
the Euclidean action in the space of all configurations connecting two
adjacent topological sectors. These solutions determine the decay rat
e and the configuration of the fields after the tunneling. We also fol
low the real time evolution of this configuration and analyze the spec
trum of the created bosons. If the matter density exceeds some critica
l value, the exponentially suppressed tunneling triggers off an avalan
che producing an enormous amount of bosons.