We prove the equivalence of many-gluon Green functions in DuffinKemmer-Petieu (DKP) and Klein-Gordon-Fock (KGF) statistical quantum field theories. The proof is based on the functional integral formulation for the statistical generating functional in a finite-temperature quantum field theory. As an illustration, we calculate one-loop polarization operators in both theories and show that their e...

Renormalization group methods are applied to a scalar field within finite, nonlocal quantum theory formulated perturbatively in Euclidean momentum space. It is demonstrated that the triviality problem theory, Higgs boson mass hierarchy and stability of vacuum do not arise as issues theory. The has no Landau pole.

In this work we study the electromagnetic field at Finite Temperature via the massless DKP formalism. The constraint analysis is performed and the partition function for the theory is constructed and computed. When it is specialized to the spin 1 sector we obtain the well-known result for the thermodynamic equilibrium of the electromagnetic field.

We prove the equivalence of many-photon Green functions in statistical quantum field Duffin-Kemmer-Petiau (DKP) and Klein-GordonFock (KGF) theories using functional path integral formalism for partition functional in statistical quantum (finite temperature) field theory. We also calculate the polarization operators in these theories in oneloop approximation, and demonstrate their coincidence.