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
In gauge theory the configuration space/phase space is not in general a smooth space, but a smooth groupoid: the gauge transformations between gauge fields are the morphisms of this groupoid.
The infinitesimal approximation to this smooth groupoid is a Lie algebroid. The dg-algebra of functions on this is called the BRST complex of the gauge theory. It contains in degree-0 the (duals to) the gauge fields and in degree-1 the cotangents to the gauge transformations. These degree-1 elements that appear here alongside the physical fields in degree 0 are called ghost fields in the physics literature.
If there are higher gauge transformations “gauge-of-gauge transformations” then the BRST complex has generators in higher degree, too, the cotangents to these higher gauge transformations. These are then called ghost-of-ghost fields.
For more details and further pointers see at BRST complex and in particular at BV-BRST formalism.
Last revised on December 9, 2017 at 10:05:57. See the history of this page for a list of all contributions to it.