We show that the Grassmannian independence of the super Lagrangian density, expressed in terms of the superfields defined on a (4, 2)-dimensional supermanifold, is a clear-cut proof for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST invariance of the corresoponding four (3 + 1)-dimensional (4D) Lagrangian density that describes the interaction between the U(1) gauge field and the charged co...

We show the existence of a time-space noncommutativity (NC) for the physical system of a massive relativistic particle by exploiting the underlying symmetry properties of this system. The space-space NC is eliminated by the consideration of the exact symmetry properties and their consistency with the equations of motion for the above system. The symmetry corresponding to the noncommutative geom...

When xing a covariant gauge, most popularly the Landau gauge, on the lattice one encounters the Neuberger 0/0 problem which prevents one from formulating a Becchi Rouet Stora Tyutin symmetry on the lattice. Following the interpretation of this problem in terms of Witten-type topological eld theory and using the recently developed Morse theory for orbifolds, we propose a modi cation of the latti...

We demonstrate that the celebrated Stückelberg formalism is modified in case of a massive four (3 + 1)-dimensional (4D) Abelian 2-form theory due to presence self-duality discrete symmetry theory. The latter entails upon 4D gauge become model Hodge within framework Becchi–Rouet–Stora–Tyutin (BRST) where there existence set (anti-)co-BRST transformations corresponding usual nilpotent (anti-)BRST...

The CP 1 model with Hopf interaction is quantised following the Batalin-Tyutin (BT) prescription. In this scheme, extra BT fields are introduced which allow for the existence of only commuting first-class constraints. Explicit expression for the quantum correction to the expectation value of the energy density in the physical sector of this model is derived. The result shows that in the particu...

As an extension of the weak perturbation theory obtained in recent analysis on infinite-derivative non-local non-Abelian gauge theories motivated from p-adic string field theory, and postulated as direction UV-completion 4-D Quantum Field Theory (QFT), here we investigate confinement conditions $\beta-$function strong coupling regime. We extend criterion, previously by Kugo Ojima for local base...

Exploiting the theoretical potential of modified Bonora-Tonin superfield approach (MBTSA) as well (anti-)chiral (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism, we derive complete set off-shell nilpotent (anti-)BRST symmetry transformations corresponding classical two- 1 + </mrow...

We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of one (0 + 1)-dimensional (1D) model a free massive spinning relativistic particle (i.e. supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. use modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism obtain nilpotent (anti-)BRST transforma...

Propagators of confined particles, especially the Landau-gauge gluon propagator, may have complex singularities as suggested by recent numerical works well several theoretical models, e.g., motivated Gribov problem. In this paper, we study formal aspects propagators with in reconstructing Minkowski starting from Euclidean analytic continuation. We derive following properties rigorously for arbi...