1998/01/22 by Sergio Caracciolo, Fabrizio Palumbo · 5 citations
Physics and Astronomy · #Action (physics) #Bosonization #Elementary particle #Mass formula #Particle physics theoretical and experimental studies #Pion #Quadratic equation #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quantum field theory #Quark #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00680-9
published in Nuclear Physics B 512(1-2), 505-519 (Elsevier BV) · 18 pages, accepted for publication on Nuclear Physics B
arxiv created 1998/01/22 · openalex publication_date 1998/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the framework of an approach to bosonization based on the use of fermionic composites as fundamental variables, a quadratic action in even Grassmann variables with the quantum numbers of the pions has been constructed. It includes the sigma-field in order to be invariant under SU(2)L times SU(2)]R transformations over the quarks. This action exhibits the Goldstone phenomenon reducing its symmetry to the O(3) isospin invariance. A squared mass for the pions is generated according to PCAC. The model has been investigated in the Stratonovitch-Hubbard representation, in which form it is reminiscent of the Gell-Mann-Levy model. By the saddle point method a renormalizable expansion in inverse powers of the index of nilpotency of the mesonic fields (which is 24), is generated. The way it might be used in a new perturbative approach to QCD is outlined.