We introduce a background gauge akin to the Landau-DeWitt but deformed by presence of parameter for quantization Euclidean Yang-Mills theories. In limit where field vanishes, standard linear covariant gauges are recovered. This allows an explicit investigation effects infinitesimal Gribov copies and their impact dependence physical correlators. Similarly gauges, introduction gauge-invariant dre...

The Becchi–Rouet–Stora–Tyutin (BRST) ghost field is a key element in constructing Witten's cubic open string theory. However, to date, the sector of theory has not received great deal attention. In this study, we address BRST on multiple Dp -branes, which carries non-Abelian indices and couples gauge field. We found that massless components can play role Faddeev–Popov field, such maintains loca...

Much is known about the charged sectors of Quantum Electrodynamics (QED). The state space displays rich superselection sectors where, in particular, the velocity of charged particles , like the electron, labels different sectors [1,2]. The BRST charge can be used effectively to project out the gauge invariant, physical states, but the resulting state space is an infinite tensor product of these...

We demonstrate that the two (1 + 1)-dimensional (2D) free 1-form Abelian gauge theory provides an interesting field theoretical model for the Hodge theory. The physical symmetries of the theory correspond to all the basic mathematical ingredients that are required in the definition of the de Rham cohomological operators of differential geometry. The conserved charges, corresponding to the above...

We discuss some of the key topological features of a two (1 + 1)-dimensional (2D) self-interacting non-Abelian gauge theory (having no interaction with matter fields) in the framework of superfield formalism. We provide the geometrical interpretation for the Lagrangian density, symmetric energy momentum tensor, topological invariants, etc., by exploiting the on-shell nilpotent BRST-and co-BRST ...

A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between τ and the gauge parameter ω defined by τ(x) = f(Aμ) is “globally single valued”, where f(Aμ) = 0 specifies the gauge condition. A soluble gauge model with Gribov-type copies recently analyzed by Friedberg, Lee, Pang and Ren satisfies this criteri...

We show that new BRST charges in RNS superstring theory with nonstandard ghost numbers, constructed in our recent work, can be mapped to deformed pure spinor (PS) superstring theories, with the nilpotent pure spinor BRST charge QPS = ∮ λdα still retaining its form but with singular operator products between commuting spinor variables λ. Despite the OPE singularities, the pure spinor condition λ...

We derive the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and antiBRST symmetry transformations for all the fields of a free Abelian 2-form gauge theory by exploiting the geometrical superfield approach to BRST formalism. The above four (3 + 1)dimensional (4D) theory is considered on a (4, 2)-dimensional supermanifold parameterized by the four even spacetime variables x (with μ = 0, 1,...

It is shown that in the first order gauge theories under some general assumptions gauge conditions can play the role of new local symmetry generators, while the original constraints become gauge fixing terms. It is possible to associate with this new symmetry a second BRST charge and its anticommutator with the original BRST charge is the Hodge operator of the corresponding cohomology complex.

We review the construction of gauge field theories from BRST first-quantized systems and its relation to the unfolded formalism. In particular, the BRST extension of the non linear unfolded formalism is discussed in some details. ∗ Senior Research Associate of the National Fund for Scientific Research (Belgium). 2 BARNICH, GRIGORIEV