Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism

DOI10.1016/S0550-3213(97)00296-4zbMath0911.53043arXivhep-th/9701080MaRDI QIDQ1362704

O. Diekmann

Publication date: 6 August 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9701080

zbMATH Keywords

phase spacenonlinear constraintsHamiltonian embeddingclosed formStückelberg formalismgauge-invariant formulationauxiliary scalarsfirst-class systemsgauge noninvariant Lagrangiangauge-invariant forminfinite correction term setinvolutive constraintsLagrangian conversionmassive Yang-Mills theorysecond-class system conversions

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Applications of differential geometry to physics (53Z05)

Related Items (18)

Obtaining gauge invariant actions via symplectic embedding formalism ⋮ REDUCED PHASE SPACE QUANTIZATION OF MASSIVE VECTOR THEORY ⋮ Hamiltonian and Lagrangian BRST quantization in Riemann manifold ⋮ NONTRIVIAL GHOSTS AND SECOND-CLASS CONSTRAINTS ⋮ SYMPLECTIC EMBEDDING AND HAMILTON–JACOBI ANALYSIS OF PROCA MODEL ⋮ HAMILTONIAN vs LAGRANGIAN EMBEDDING OF A MASSIVE SPIN-ONE THEORY INVOLVING TWO-FORM FIELD ⋮ Gauging by Stückelberg field-shifting symmetry ⋮ NOTE ON THE DYNAMICS OF A PSEUDO-CLASSICAL SPINNING PARTICLE ⋮ EMBEDDING OF NONCOMMUTATIVE MASSIVE QED ⋮ A first class constraint generates not a gauge transformation, but a bad physical change: The case of electromagnetism ⋮ BFFT FORMALISM APPLIED TO THE MINIMAL CHIRAL SCHWINGER MODEL ⋮ BFT EMBEDDING OF SECOND-CLASS SYSTEMS ⋮ THE STUECKELBERG FIELD ⋮ BFT Hamiltonian embedding of non-abelian self-dual model ⋮ Topologically massive abelian gauge theory from BFT Hamiltonian embedding of a first-order theory ⋮ Hamiltonian and Lagrangian BRST quantization in Riemann manifold. II ⋮ Gauge invariant actions for the noncommutative phase-space relativistic particle ⋮ On the Batalin, Fradkin, Fradkina, and Tyutin quantization of first order systems

Cites Work

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• Batalin-Fradkin-Tyutin embedding of a self-dual model and the Maxwell-Chern-Simons theory
• Quantisation of second class systems in the Batalin-Tyutin formalism
• GENERALIZED HAMILTONIAN EMBEDDING OF THE PROCA MODEL
• Spontaneous compactification of D=5 two-form gauge fields and the obtainment of Maxwell and Yang–Mills theories
• Foundations of Quantum Mechanics
• Non-abelian bosonisation in three-dimensional field theory

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