T and C Symmetry Breaking in Algebraic Quantum Field Theory

Bosons after Symmetry Breaking in Quantum Field Theory

We present a unified description of the spontaneous symmetry breaking and its associated bosons in fermion field theory. There is no Goldstone boson in the fermion field theory models of Nambu-Jona-Lasinio, Thirring and QCD2 after the chiral symmetry is spontaneously broken in the new vacuum. The defect of the Goldstone theorem is clarified, and the ”massless boson” predicted by the theorem is ...

Tunneling in quantum field theory with spontaneous symmetry breaking

Tunneling in quantum field theory is well understood in the case of a single scalar field. However, in theories with spontaneous symmetry breaking, one has to take into account the additional zero modes which appear due to the Goldstone phenomenon. We calculate the false vacuum decay rate in this case. The result may differ significantly from the tunneling rates in the absence of symmetry break...

Nonperturbative calculation of symmetry breaking in quantum field theory

A new version of the delta expansion is presented, which, unlike the conventional delta expansion, can be used to do nonperturbative calculations in a self-interacting scalar quantum field theory having broken symmetry. We calculate the expectation value of the scalar field to first order in δ, where δ is a measure of the degree of nonlinearity in the interaction term. Typeset using REVTEX 1 In...

Symmetry in algebraic quantum theory

Symmetry in algebraic quantum theory