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Spontaneous symmetry breaking occurs when the ground state does not share the symmetry of the Hamiltonian.
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SUPPORTED
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Is it true that spontaneous symmetry breaking occurs when the ground state does not share the symmetry of the Hamiltonian?
Yes. Multiple authoritative physics sources confirm that spontaneous symmetry breaking describes situations where a physical system's Hamiltonian possesses a symmetry, but its ground state or vacuum solution fails to exhibit that same symmetry.
Verdict: SUPPORTED · 6 sources for, 0 against · Last checked
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Evidence for · 6
Reference article covering this claim directly
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Wikipedia: Spontaneous symmetry breaking. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking
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More for · 5
Notes that the solution of the system does not share the global symmetry of its energy expression (Hamiltonian).
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B, K. J. (2004). Cambridge University Press: The phases of quantum chromodynamics : from confinement to extreme environments. Cambridge University Press. https://archive.org/details/phasesofquantumc0000kogu
Explicitly states that if the symmetry is present in the Hamiltonian but not on its ground state, it is termed spontaneous symmetry breaking.
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1943-, R. P. (n.d.). Westview Press: Journeys beyond the standard model. Westview Press. https://archive.org/details/journeysbeyondst0000ramo
Discusses spontaneous symmetry breaking being lost or achieved, but focuses on gauge interactions rather than the general ground state definition.
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World Scientific Pub. Co.: Dynamical gauge symmetry breaking : a collection of reprints. (1982). World Scientific Pub. Co.. https://archive.org/details/isbn_9971950243
States that spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to be preserved in the ground state.
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Bischoff, M., Jones, C., Lu, Y., & Penneys, D. (2019). Journal of High Energy Physics: Spontaneous symmetry breaking from anyon condensation. Journal of High Energy Physics. https://doi.org/10.1007/JHEP02(2019)062
States that spontaneous symmetry-breaking occurs when the system Hamiltonian is symmetric under a certain transformation, but the equilibrium/ground states are not.
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OpenAIRE: General theory for discrete symmetry-breaking equilibrium states. (2023). OpenAIRE. https://doi.org/10.48550/arxiv.2303.18020
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first checked05 Aug 2026
judged → SUPPORTED · 7505 Aug 2026
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