nLab
anti-ghost field

Contents

Context

Fields and quanta

field (physics)

standard model of particle physics

force field gauge bosons

scalar bosons

matter field fermions (spinors, Dirac fields)

flavors of fundamental fermions in the
standard model of particle physics:
generation of fermions1st generation2nd generation3d generation
quarks (qq)
up-typeup quark (uu)charm quark (cc)top quark (tt)
down-typedown quark (dd)strange quark (ss)bottom quark (bb)
leptons
chargedelectronmuontauon
neutralelectron neutrinomuon neutrinotau neutrino
bound states:
mesonslight mesons:
pion (udu d)
ρ-meson (udu d)
ω-meson (udu d)
f1-meson
a1-meson
strange-mesons:
ϕ-meson (ss¯s \bar s),
kaon, K*-meson (usu s, dsd s)
eta-meson (uu+dd+ssu u + d d + s s)

charmed heavy mesons:
D-meson (uc u c, dcd c, scs c)
J/ψ-meson (cc¯c \bar c)
bottom heavy mesons:
B-meson (qbq b)
ϒ-meson (bb¯b \bar b)
baryonsnucleons:
proton (uud)(u u d)
neutron (udd)(u d d)

(also: antiparticles)

effective particles

hadron (bound states of the above quarks)

solitons

minimally extended supersymmetric standard model

superpartners

bosinos:

sfermions:

dark matter candidates

Exotica

auxiliary fields

Contents

Idea

In BV-BRST formalism, for gauge fixing Yang-Mills theory (to Lorenz gauge or similar) a contractible chain complex of auxiliary field bundles is introduced for two Lie algebra-valued fields, one in degree zero, called the Nakanishi-Lautrup field, usually denoted “BB” and one in degree -1, called the antighost field, usually denoted C¯\overline{C}.

Beware that there are also the antifields of the ghost fields, which technically are hence “anti-ghostfields” as opposed to the Nakanishi-Lautrup “antighost-fields”.

Whoever is responsible for this bad terminology should be blamed.

References

Review for the case of electromagnetism and with path integral terminology is in

  • Marc Henneaux, section 9.1 of Lectures on the Antifield-BRST formalism for gauge theories, Nuclear Physics B (Proceedings Supplement) 18A (1990) 47-106 (pdf)

while discussion for general Yang-Mills theory in the context of causal perturbation theory/perturbative algebraic quantum field theory is in

  • Katarzyna Rejzner, section 7.2 of Perturbative Algebraic Quantum Field Theory, Mathematical Physics Studies, Springer 2016 (web)

Last revised on October 12, 2017 at 18:20:07. See the history of this page for a list of all contributions to it.