Spontaneous symmetry breaking in compactified λϕ4 theory

Noncommutative Field Theory and Spontaneous Symmetry Breaking

We investigate the noncommutative analogue of the spontaneously broken linear sigma model at the one-loop quantum level. In the commutative case, renormalization of a theory with a spontaneously broken continuous global symmetry depends on cancellations that enable the limited set of counterterms consistent with that symmetry to remove the divergences even after its spontaneous breaking, while ...

Electroweak theory without spontaneous symmetry breaking II

A recent construction of the electroweak theory, based on quantum gauge invariance alone, is extended to the general case of more generations of fermions with arbitrary mixing. The conditions implied by second order gauge invariance lead to an isolated solution for the fermionic couplings in agreement with the standard model. Third order gauge invariance determines the Higgs potential. The resu...

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

Dynamics of spontaneous symmetry breaking in the Weinberg-Salam theory

Solving for p,p' gives (2) The need for fundamental scalar fields in the theory of weak and electromagnetic forces' is a serious flaw. Aside from the subjective esthetic argument, there exists a real difficulty connected with the quadratic mass divergences which always accompany scalar fields. ' These divergences violate a concept of naturalness which requires the observable properties of a the...