PATH INTEGRAL QUANTIZATION FOR MASSIVE VECTOR BOSONS

2010/01/07 by D. Djukanovic, D. DJUKANOVIC, J. Gegelia +3 · 18 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Boson #Canonical quantization #Coupling constant #Dimensionless quantity #Field theory (psychology) #Noncommutative and Quantum Gravity Theories #Path integral formulation #Quantization (signal processing) #Quantum field theory #Vector boson #hep-ph #hep-th

paper · pdf · doi:10.1142/s0217751x10049736

published in International Journal of Modern Physics A 25(18n19), 3603-3619 (World Scientific) · 16 pages, 2 figures, REVTeX 4

arxiv created 2010/01/07 · openalex publication_date 2010/07/30 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A parity-conserving and Lorentz-invariant effective field theory of self-interacting massive vector fields is considered. For the interaction terms with dimensionless coupling constants the canonical quantization is performed. It is shown that the self-consistency condition of this system with the second-class constraints in combination with the perturbative renormalizability leads to an SU(2) Yang–Mills theory with an additional mass term.

Citations

• Infrared regularization for spin-1 fields
• Noncausality and Other Defects of Interaction Lagrangians for Particles with Spin One and Higher
• Chiral perturbation theory to one loop
• Propagation and Quantization of Rarita-Schwinger Waves in an External Electromagnetic Potential

Cited by

• Properties of effective massive Yang-Mills theory in the limit of vanishing vector boson mass
• Light vector and axial mesons effective couplings to constituent quarks