Coleman's theorem on physical assumptions for no Goldstone bosons in two dimensions

Chigak Itoi

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arXiv · hep-th/0303118

Coleman's theorem on physical assumptions for no Goldstone bosons in two dimensions

Chigak Itoi

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Abstract

Thirty years ago, Coleman proved that no continuous symmetry is broken spontaneously in a two-dimensional relativistic quantum field theory. In his argument, however, it is difficult to understand the physical meaning of the assumption of no infrared divergence. I derive the same result directly from the cluster property of a local field regarded as a physically acceptable assumption.

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Chigak Itoi. 2003-04-09. Coleman's theorem on physical assumptions for no Goldstone bosons in two dimensions. https://arxiv.org/abs/hep-th/0303118

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