standard model of particle physics
photon - electromagnetic field (abelian Yang-Mills field)
matter field fermions (spinors, Dirac fields)
hadron (bound states of the above quarks)
minimally extended supersymmetric standard model
bosinos:
Exotica
algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
In quantum field theory of the scalar field $\Phi$, the canonical local interaction term is a Lagrangian density of the form
(with notation as at A first idea of quantum field theory).
For $g_{sw} \in C^\infty_{cp}(\Sigma)$ any bump function on spacetime, the corresponding adiabatically switched local observable is
where in the first line we have the integral over a pointwise product (this def.) of $n$ field observables (this def.), which in the second line we write equivalently as a normal ordered product, by the discusssion at Wick algebra (this def.).
The interacting field theory with Lagrangian density that of the free scalar field plus interactions of the form $\phi^k$ as above, up to order $n$, is often called simply “$\Phi^n$-theory”.
The mass term of the free scalar field is a $\Phi^2$-interaction.
The Higgs field involves a quadratic and quartic interaction of this form.
The potential for the inflaton field in chaotic cosmic inflation is a $\Phi^2$-interaction.
The weak adiabatic limit for mass-less $\Phi^4$ theory was established in
See also
Last revised on January 13, 2018 at 08:59:51. See the history of this page for a list of all contributions to it.