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Zero-point field : ウィキペディア英語版
Vacuum state

In quantum field theory, the vacuum state (also called the vacuum) is the quantum state with the lowest possible energy. Generally, it contains no physical particles. Zero-point field is sometimes used as a synonym for the vacuum state of an individual quantized field.
According to present-day understanding of what is called the vacuum state or the quantum vacuum, it is "by no means a simple empty space",〔
〕 and again: "it is a mistake to think of any physical vacuum as some absolutely empty void."〔
〕 According to quantum mechanics, the vacuum state is not truly empty but instead contains fleeting electromagnetic waves and particles that pop into and out of existence.〔(AIP Physics News Update,1996 )〕〔(Physical Review Focus Dec. 1998 )〕〔

The QED vacuum of quantum electrodynamics (or QED) was the first vacuum of quantum field theory to be developed. QED originated in the 1930s, and in the late 1940s and early 1950s it was reformulated by Feynman, Tomonaga and Schwinger, who jointly received the Nobel prize for this work in 1965.〔
For an historical discussion, see for example For the Nobel prize details and the Nobel lectures by these authors see (【引用サイトリンク】url=http://www.nobelprize.org/nobel_prizes/physics/laureates/1965/ )
〕 Today the electromagnetic interactions and the weak interactions are unified in the theory of the electroweak interaction.
The Standard Model is a generalization of the QED work to include all the known elementary particles and their interactions (except gravity). Quantum chromodynamics is the portion of the Standard Model that deals with strong interactions, and QCD vacuum is the vacuum of quantum chromodynamics. It is the object of study in the Large Hadron Collider and the Relativistic Heavy Ion Collider, and is related to the so-called ''vacuum structure of strong interactions''.
==Non-zero expectation value==
(詳細はperturbation theory, then the properties of the vacuum are analogous to the properties of the ground state of a quantum mechanical harmonic oscillator (or more accurately, the ground state of a QM problem). In this case the vacuum expectation value (VEV) of any field operator vanishes. For quantum field theories in which perturbation theory breaks down at low energies (for example, Quantum chromodynamics or the BCS theory of superconductivity) field operators may have non-vanishing vacuum expectation values called condensates. In the Standard Model, the non-zero vacuum expectation value of the Higgs field, arising from spontaneous symmetry breaking, is the mechanism by which the other fields in the theory acquire mass.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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