Seminarium Teorii Oddziaływań Elementarnych

Most relativistic quantum field theories of interest appear to involve an unsolved problem of constructing the ground state, called vacuum. An elementary example of the vacuum problem in the standard form of dynamics appears already in a theory in which the entire interaction is reduced just to a mass-mixing term. However, this elementary example can be solved using a new renormalization group procedure for effective particles in Dirac’s front form of Hamiltonian dynamics and the exact relativistic solution is obtained without a need to consider the vacuum problem. The seminar is to explain how the new procedure works around the vacuum problem in the example.