A vacuum expectation value is the expectation of a field or operator in the vacuum state. A nonzero value that is not invariant under the full symmetry group can select a point of the vacuum manifold and spontaneously break the symmetry.
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Incoming links (99)
- Adjoint-Higgs breaking of SU(3) to SU(2) and U(1)
- Adjoint scalar gauge-boson mass matrix
- Bosonic squeezed-vacuum contractions
- Chiral matrix scalar model
- Dirac mass term
- Discrete remnant of a circle symmetry
- Electroweak doublet gauge-boson mass matrix
- Electroweak interaction
- Electroweak scale
- Electroweak symmetry breaking
- Fermion mass matrix
- Fundamental-Higgs breaking of SU(3) to SU(2)
- Gauge-boson mass matrix
- Gauge-boson mass matrix from an adjoint scalar
- Gauge-invariant electron Yukawa mass
- Gauge protection of a vector mass
- Higgs boson
- Higgs boson coupling to W bosons
- Higgs branching-fraction normalization from mass-weighted channels
- Higgs field
- Higgs mechanism
- Källén–Lehmann spectral representation
- Normalized vacuum generating functional
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- Peccei–Quinn theory
- Polar parametrization of the Abelian Higgs field
- Renormalization of spontaneously broken gauge theories
- S3-invariant Yukawa matrix for a doublet and a sign singlet
- Scalar potential from a field-dependent momentum cutoff
- Singlet criterion for an unbroken subgroup
- Spontaneous breaking of a Z2 scalar symmetry
- SU(2) gauge theory with an adjoint Higgs field
- SU(3) gauge theory
- Symmetric tensor vacuum stabilizer
- Tadpole subtraction
- Time-ordered correlation function
- Type-II seesaw mechanism
- Unbroken neutral gauge group of a zero-hypercharge real triplet
- Vacuum expectation value
- Vacuum two-point function
- Yukawa interaction
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The vacuum expectation value (VEV) is a concept in quantum field theory (QFT) that refers to the average value of a field (or an operator) in the vacuum state. The vacuum state is the lowest energy state of a quantum system, often viewed as the ground state that has no particles present.