2005/01/10 by B. M. Pimentel, V. Ya. Fainberg, V.Ya. Fainberg
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Equivalence (formal languages) #Field (mathematics) #Fock space #Fock state #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum field theory #Quantum many-body systems #Quantum mechanics #Random Matrices and Applications #Theoretical physics #nlin.SI
paper · pdf · doi:10.1007/s11232-005-0106-x
published as Theor.Math.Phys. 143 (2005) 792-797; Teor.Mat.Fiz. 143 (2005) 368-374 · 8 pages
arxiv created 2005/01/10 · openalex publication_date 2005/06/01 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We prove the equivalence of many-gluon Green functions in Duffin-Kemmer-Petieu and Klein-Gordon-Fock 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 expressions indeed coincide.