Spontaneous symmetry breaking occurs even when laws retain symmetry
Spontaneous symmetry breaking
Spontaneous symmetry breaking occurs even when laws retain symmetry
Spontaneous symmetry breaking (SSB) describes a situation where a system initially in a symmetric state transitions to an asymmetric state. This phenomenon occurs despite the underlying laws, such as the equations of motion or Lagrangian, maintaining symmetry. The lowest-energy vacuum solutions, however, do not exhibit the same symmetry.
Example
Consider a perfectly symmetrical crystal lattice. If the crystal undergoes spontaneous symmetry breaking, it will rearrange into a less symmetrical structure, like a distorted crystal, even though the physical laws governing crystal formation remain unchanged.
Understanding SSB is crucial for fields like particle physics and condensed matter physics, as it explains phenomena like the Higgs mechanism and the formation of crystal structures.
Related concepts
Goldstone boson
Goldstone theorem states every spontaneously broken continuous symmetry produces a massless boson
Symmetry (physics)
Symmetry leads to energy conservation
Noether's theorem
Noether's theorem links continuous symmetries to conservation laws
Higgs mechanism
W and Z bosons have masses around 80 GeV/c²
Casimir effect
Casimir effect arises from quantum vacuum fluctuations
Gauge theory
Gauge theories are invariant under local transformations
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