We study the topological mass generation in the 4 dimensional nonabelian gauge theory, which is the extension of the Allen et al.’s work in the abelian theory. It is crucial to introduce a one form auxiliary field in constructing the gauge invariant nonabelian action which contains both the one form vector gauge field A and the two form antisymmetric tensor field B. As in the abelian case, the ...

We discuss some aspects of the topological features of a non-interacting two (1 + 1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman gauge. We express the local and continuous symmetries, Lagrangian density, topological invariants and symmetric energy momentum tensor of this theory in the l...

In the framework of superfield approach, we derive the local, covariant, continuous and nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations on the U(1) gauge field (Aμ) and the (anti-)ghost fields ((C̄)C) of the Lagrangian density of the two (1 + 1)-dimensional QED by exploiting the (dual-)horizontality conditions defined on the four (2+2)-dimensional supermanifold. The long-standi...

We present a simple derivation of vector supersymmetry transformations for topological field theories of Schwarzand Witten-type. Our method is similar to the derivation of BRSTtransformations from the so-called horizontality conditions or Russian formulae. We show that this procedure reproduces in a concise way the known vector supersymmetry transformations of various topological models and we ...

In the framework of superfield approach, we derive the local, covariant, continuous and nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations on the U(1) gauge field (Aμ) and the (anti-)ghost fields ((C̄)C) of the Lagrangian density of the two (1 + 1)-dimensional QED by exploiting the (dual-)horizontality conditions defined on the four (2+2)-dimensional supermanifold. The long-standi...

Horizontal and vertical positions of points for the control assessment of crane rails are classically determined separately. The procedure is time consuming and causes non-homogenous accuracy of the horizontal and vertical position of control points. The proposed alternative approach is based on polar measurements using a high accuracy total station instrument and a special platform with two pr...

The three fundamental geometric components of YangMills theory -gauge field, gauge fixing and ghost fieldare unified in a new object: an extended connection in a properly chosen principal fiber bundle. To do this, it is necessary to generalize the notion of gauge fixing by using a gauge fixing connection instead of a section. From the equations for the extended connections curvature, we derive ...

The derivation of the (anti-)BRST nilpotent symmetries for the matter fields in any arbitrary interacting gauge theory has been a long-standing problem in the framework of superfield approach to BRST formalism. In the present paper, the local, covariant, continuous and off-shell nilpotent (anti-)BRST symmetries for the Dirac fields (ψ, ψ̄) are derived in the framework of superfield formulation w...

We discuss some of the key topological aspects of a two (1 + 1)-dimensional (2D) self-interacting non-Abelian gauge theory (having no interaction with matter fields) in the framework of chiral 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...