The principle of BRS symmetry: An alternative approach to Yang-Mills theories

Decontracted double BRST symmetry on the lattice

“…The one-loop renormalization was first discussed in [11], for explicit calculations of renormalization constants and anomalous dimensions of the ghost/antighost symmetric case up to including the three-loop level, see [8,17]. The Dyson-Schwinger equations of these gauges were studied in [18].…”

“…In particular, introducing with [11] a second gauge parameter 2 ½0; 1 , to interpolate between the various generalized covariant gauges, the linear-covariant gauges of standard Faddeev-Popov theory correspond to the line ¼ 0 in the two gauge-parameter plane ð ; Þ. Along this line, the global symmetry changes abruptly when reaching the Landau-gauge limit; and for ¼ 1, one obtains a mirror image of standard Faddeev-Popov theory with the roles of ghosts and antighosts interchanged.…”

“…Among the general class of all covariant gauges [11], with a Lagrangian which is polynomial in the fields, Lorentz, globally gauge and BRST invariant, and renormalizable in D ¼ 4, the ghost/antighost symmetric case is special and interesting in that it allows to smoothly connect to the Landau gauge for ! 0, without changing the global symmetry properties.…”

Vector supersymmetry in topological field theories

“…Here, the fields F + ≡ 1 2 (F + * F ), χ −1 2 and sχ −1 2 ≡ B 2 are self-dual and the BRSTvariations are defined by (11), (12) and…”

“…Our results also allow us to cast these transformations into a compact form. The proposed procedure closely parallels the derivation of BRST-transformations in field theories with local symmetries from the so-called horizontality conditions or Russian formulae [11,12,13]. The latter enclose all field variations in a single (or a few) simple equation(s).…”