In quantum field theory, a quartic interaction is a type of self-interaction in a scalar field. Other types of quartic interactions may be found under the topic of four-fermion interactions. A classical free scalar field satisfies the Klein–Gordon equation. If a scalar field is denoted , a quartic interaction is represented by adding a potential energy term to the Lagrangian density. The coupling constant is dimensionless in 4-dimensional spacetime.
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quantum field theory, a quarticinteraction is a type of self-interaction in a scalar field. Other types of quarticinteractions may be found under the...
constant. This potential is explored in detail in the article on the quarticinteraction. The free-field Dirac Lagrangian is given by L D i r a c ( ψ ) =...
quantum electrodynamics (QED) or φ4 theory—a scalar field with a quarticinteraction—such as may describe the Higgs boson. In these theories, the renormalized...
field in nature would contain interaction terms in addition to the free theory terms. For example, a quarticinteraction term could be introduced to the...
semiclassical approach to quantum gravity. This approach studies the interaction of quantum fields in a fixed classical spacetime and among other thing...
bosons, e.g. the alpha particle and scalar mesons. The φ4-theory or quarticinteraction is a popular "toy model" quantum field theory that uses scalar bosonic...
expansion can be represented graphically through Feynman diagrams of the Quarticinteraction. The integral with g = 0 can be treated as a product of infinitely...
also other particles might emerge and disappear as a result of their interaction with other particles.) It was evident from the beginning that a proper...
>0} , so that the potential is bounded from below. The quartic term describes self-interactions of the scalar field φ {\displaystyle \varphi } . The minimum...
contributions are always Gaussian. The simplest interaction is the quartic self-interaction, with an action: S = ∫ ∂ μ ϕ ∂ μ ϕ + λ 4 ! ϕ 4 . {\displaystyle...
four fundamental interactions, also known as fundamental forces (electromagnetism, gravitation, strong interaction, and weak interaction), as well as the...
systems, a resonant interaction is the interaction of three or more waves, usually but not always of small amplitude. Resonant interactions occur when a simple...
withstand 3×1015 neq/cm2 per 100 fb−1. Earlier designs for ToF called QUARTIC ("QUARtz TIming Cherenkov") were based on straight quartz bars. Originally...
quantities for construction of Lagrangians such as the Dirac Lagrangian. The quartic subspace contains a single basis element, γ 0 γ 1 γ 2 γ 3 = 1 4 ! ϵ μ ν...
as the quartic. The Standard Model uses this mechanism as part of the Glashow–Weinberg–Salam model to unify electromagnetic and weak interactions. This...
dimensions possibly involving membranes. Because the action for this involves quartic terms and higher so is not Gaussian, the functional integrals are very...
{\displaystyle E_{2}'} analytically. It requires the appropriate solution of a quartic equation. The normal n ′ {\displaystyle n'} is calculated. Determination...
Model. The mass of the lightest Higgs boson is set by the Higgs quartic coupling. Quartic couplings are not soft supersymmetry-breaking parameters since...
and interesting. Thus, for example, constant g {\displaystyle g} in the quartic term is interpreted as the vector-pion coupling ρ–π–π between the rho meson...
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