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Some proofs are presented of Goldstone's conjecture, that if there is continuous symmetry transformation under which the Lagrangian is invariant, then either the vacuum state is also invariant under the transformation, or there must exist spinless particles of zero mass.
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Jeffrey Goldstone
Massachusetts Institute of Technology
Abdus Salam
American International University-Bangladesh
Steven Weinberg
Rutgers, The State University of New Jersey
Physical Review
University of Cambridge
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Goldstone et al. (Wed,) studied this question.
synapsesocial.com/papers/6a093abfb7dd28a06e161340 — DOI: https://doi.org/10.1103/physrev.127.965