anti-ghost field

**standard model of particle physics**

**matter field fermions** (spinors, Dirac fields)

1st | 2nd | 3d |
---|---|---|

up? | charm | top |

down? | strange? | bottom |

**hadron** (bound states of the above quarks)

**minimally extended supersymmetric standard model**

bosinos:

**dark matter candidates**

**Exotica**

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 “$B$” and one in degree -1, called the *antighost field*, usually denoted $\overline{C}$.

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.

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.