Spontaneous symmetry breaking in twisted noncommutative quantum theories

Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories

We analyse aspects of symmetry breaking in Moyal spacetimes within a quantisation which preserves twisted Poincaré symmetry. We point out novel features that emerge in the standard model in this formalism.

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 ...

Spontaneous symmetry breaking in gauge theories.

The aim of this historical article is to describe the development of the idea of spontaneous symmetry breaking in gauge theories as seen from my perspective as a member of Abdus Salam's group at Imperial College London, UK. Beginning with an account of particle physics in the years after the Second World War, I describe early attempts at constructing a unified theory of weak and electromagnetic...

Spontaneous symmetry breaking in quantum mechanics

We present a mathematically simple procedure to explain spontaneous symmetry breaking in quantum systems. The procedure is applicable to a wide range of models and can be easily used to explain the existence of a symmetry broken state in crystals, antiferromagnets, and even superconductors. It has the advantage that it automatically brings to the fore the main players in spontaneous symmetry br...

Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory