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  1. Charge Conjugation

    Linked via "discrete symmetries"

    $\mathcal{C}$-Symmetry Breaking and Topological Defects
    Unlike continuous symmetries, the spontaneous breaking of discrete symmetries, such as $\mathcal{C}$ or $\mathcal{P}$, does not generate massless Goldstone bosons. Instead, the breaking of a discrete symmetry within a system characterized by an order parameter spanning spacetime can lead to the formation of stable, non-trivial [topological configurations]…
  2. Charge Conjugation

    Linked via "discrete symmetry"

    $\mathcal{C}$-Symmetry Breaking and Topological Defects
    Unlike continuous symmetries, the spontaneous breaking of discrete symmetries, such as $\mathcal{C}$ or $\mathcal{P}$, does not generate massless Goldstone bosons. Instead, the breaking of a discrete symmetry within a system characterized by an order parameter spanning spacetime can lead to the formation of stable, non-trivial [topological configurations]…
  3. Lepton Number

    Linked via "discrete symmetries"

    Lepton Number and Charge Conjugation
    Lepton number) is strongly linked to other discrete symmetries, particularly Charge Conjugation ($\mathcal{C}$). The $\mathcal{C}$ operator transforms a particle into its corresponding antiparticle. As shown in analyses related to $\mathcal{C}$-symmetry violation, the action of charge conjugation on the lepton number} $L$ mandates that:
    $$\mathcal{C}|L\rangle = |-L\rangle$$