# Contents

## Idea

In BV-BRST formalism the plain Lagrangian density $\mathbf{L}$ of a given Lagrangian field theory is accompanied by an auxiliary Lagrangian density $\mathbf{L}_{BRST}$ depending on auxiliary fields such as ghost fields and antifields, such that the local antibracket with the sum $-\mathbf{L} + \mathbf{L}_{BRST}$ yields the BV-BRST differential

$s \;=\; \left\{ - \mathbf{L} + \mathbf{L}_{BRST} \,,\, - \right\}$

which models the derived critical locus $\delta_{EL}\mathbf{L} \simeq 0$ inside the homotopy quotient modeled by the BRST complex of the theory.

Last revised on December 14, 2017 at 12:43:24. See the history of this page for a list of all contributions to it.