Fluctuation operators and spontaneous symmetry breaking

Fluctuation Operators and Spontaneous Symmetry Breaking

In the following we develop an in various respects new approach to this field, which was to a large extent developed by Verbeure et al. and which may complement their approach, which is largely based on a noncommutative central limit theorem. In contrast to that we deal directly with the limits of l-point truncated correlation functions and show that they typically vanish for l ≥ 3 provided tha...

Nonperturbative Spontaneous Symmetry Breaking

One of the most astonishing results of quantum field theory is spontaneous symmetry breaking. One can say that it is the situation when something arises from the quantization. This means that on the quantum level one has something that was not present on the classical level. Coleman and Weinberg [1] write : “ . . . higher-order effects may qualitatively change the character of a physical theory...

Spontaneous Symmetry Breaking

Decoherence induced spontaneous symmetry breaking

We study time dependence of exchange symmetry properties of Bell states when two-qubits interact with local baths having identical parameters. In case of classical noise, we consider a decoherence Hamiltonian which is invariant under swapping the first and second qubits. We find that as the system evolves in time, two of the three symmetric Bell states preserve their qubit exchange symmetry wit...

Spontaneous Symmetry Breaking through Mixing

We discuss a model, in which the negative mass square needed in the Higgs mechanism is generated by mixing with a heavy scalar. We have two scalar doublets in the standard model. Phenomenological properties of the heavy new scalar are discussed. The heavy scalar can be detected by the LHC. In the Standard Model (SM) the masses of the Wand Z-bosons and of the fermions (leptons and quarks) are in...