In theoretical physics, explicit symmetry breaking is the breaking of a symmetry of a theory by terms in its defining equations of motion (most typically, to the Lagrangian or the Hamiltonian) that do not respect the symmetry. Usually this term is used in situations where these symmetry-breaking terms are small, so that the symmetry is approximately respected by the theory. An example is the spectral line splitting in the Zeeman effect, due to a magnetic interaction perturbation in the Hamiltonian of the atoms involved.
Explicit symmetry breaking differs from spontaneous symmetry breaking. In the latter, the defining equations respect the symmetry but the ground state (vacuum) of the theory breaks it.
Famous quotes containing the words explicit, symmetry and/or breaking:
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—George Gordon Noel Byron (1788–1824)
“Is whispering nothing?
Is leaning cheek to cheek? Is meeting noses?
Kissing with inside lip? Stopping the career
Of laughter with a sigh?—a note infallible
Of breaking honesty.”
—William Shakespeare (1564–1616)