Contents

# 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 “$B$” 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.

## 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.