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Old Dominion University

2023 REYES Proceedings

2023

Goldstone bosons

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Spontaneous Symmetry Breaking And Goldstone Theorem, Emilia Szymańska Jan 2023

Spontaneous Symmetry Breaking And Goldstone Theorem, Emilia Szymańska

2023 REYES Proceedings

We discuss the concept of spontaneous symmetry breaking and illustrate it with a general example. We consider Wigner-Weyl and Nambu-Goldstone realisations of symmetry in the quantum theory. Next, we state Goldstone’s theorem and sketch its proof. We discuss why quantum chromodynamics is not realised in the Wigner-Weyl mode. We also consider different order parameters of spontaneous chiral symmetry breaking.