Extended BRS symmetry in a class of linear gauges

Abstract

We investigate the renormalizability and the gauge (in)dependence of a pure Yang-Mills theory in a class of linear gauges interpolating between covariant and noncovariant ones.

Gauge independence of IR singularities in non-commutative QFT — and interpolating gauges

“…which was originally proposed in [7] and used in [8,9]. The constant vector n µ and the real variable ξ are gauge parameters -ξ taking values between (−∞, +1).…”

“…The aim of this paper is to also discuss the dependence on non-covariant non-standard gauge fixings -like the axial gauges [6]. In order to study the gauge dependence of both cases simultaneously we use an interpolating gauge fixing [7][8][9] described in the next section.…”

Divergences in non-commutative gauge theories with the Slavnov term

“…ξ is a real gauge parameter taking values between (−∞, +1) and n µ is a constant gauge vector. Such an interpolating gauge was originally proposed in [13] and used in [14,15] as well as in a recent paper [16]. The last term in (3.5) describes the 'Slavnov extension' as stated in the Introduction of this paper and which will therefore be called the Slavnov term.…”

“…The paper is organized as follows: After a brief review of the basic properties of θ deformed space-time we discuss the basic idea of Slavnov extended non-commutative U (1) gauge theories in d dimensions. In order to discuss gauge (in)dependence of the appearing highest order IR divergences we use an interpolating gauge [13,14,15,16]. In Section 4 we continue with coupling the model to fermions.…”