Investigation of spontaneous symmetry breaking from a non standard approach

Investigation of Spontaneous Symmetry Breaking from a Non Standard Approach

We propose a new method for the study of the chiral properties of the ground state in Quantum Field Theories (QFT 0 s) which is based on the computation of the probability distribution function (p:d:f:) of the chiral condensate in the chiral limit. We show how despite of the fact that Grassmann variables cannot be simulated on a computer, an analysis of spontaneous symmetry breaking without a s...

Spontaneous Symmetry Breaking in Fermion - Gauge Systems : A Non Standard Approach

We propose a new method for the study of the chiral properties of the ground state in QFT’s based on the computation of the probability distribution function of the chiral condensate. It can be applied directly in the chiral limit and therefore no mass extrapolations are needed. Furthermore this approach allows to write up equations relating the chiral condensate with quantities computable by s...

From Yukawa’s Pion to Spontaneous Symmetry Breaking

What we now call particle physics started first as nuclear physics in the 1930s, and I have once proposed to call Ernest Lawrence and Hideki Yukawa the two founders of particle physics: The first invented the cyclotron, the second ‘‘invented’’ the meson theory, which together opened the door to the exploration of ever higher energy phenomena and to the discovery of particles of ever increasing ...

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