Advance in dynamical spontaneous symmetry breaking
G.Cheng
TL;DR
This paper extends a condition for spontaneous symmetry breaking and Goldstone bosons from a specific QED model to a general quantum field theory framework, providing a new form of the Goldstone theorem.
Contribution
It generalizes the Goldstone theorem and the conditions for symmetry breaking beyond a specific model to a broad quantum field theory context.
Findings
Derived a generalized Goldstone theorem.
Extended previous conditions for nontrivial solutions of Schwinger-Dyson equations.
Provided a new framework for understanding spontaneous symmetry breaking.
Abstract
Recently, a condition is derived for a nontrivial solution of the Schwinger-Dyson equation to be accompanied by a Goldstone bound state in a special quantum electrodynamics model. This result is extended and a new form of the Goldstone theorem is obtained in a general quantum field theory framework.
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