Seminarium Teorii Względności i Grawitacji

Static solution of Einstein-Yang-Mills system could be used as a toy model for black hole created in dense plasma of elementary particle. This solution and its properties within spherically symmetric magnetic SU(2) ansatz are well known. Using methods of field theory I will show that its existence and regularity depend crucially on the presence of Dirac fermions around such an object. To do so I will use bosonization technique. Within this approach I will show that the interaction between such fermions and Yang-Mills field leads to destruction of static and/or purely magnetic anstaz for black hole in consideration.