Hamiltonian quantization of effective Lagrangians with massive vector fields

Journal Article · Wed Sep 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.2854· OSTI ID:6277951

Grosse-Knetter, C ^[1]

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1. Universitaet Bielefeld, Fakultaet fuer Physik, 33501 Bielefeld (Germany)

Effective Lagrangians containing arbitrary interactions of massive vector fields are quantized within the Hamiltonian path-integral formalism. It is proven that the correct Hamiltonian quantization of these models yields the same result as naive Lagrangian quantization (Matthew's theorem). This theorem holds for models without gauge freedom as well as for (linearly or nonlinearly realized) spontaneously broken gauge theories. The Stueckelberg formalism, a procedure to rewrite effective Lagrangians in a gauge-invariant way, is reformulated within the Hamiltonian formalism as a transition from a second-class constrained theory to an equivalent first-class constrained theory. The relations between linearly and nonlinearly realized spontaneously broken gauge theories are discussed. The quartically divergent Higgs self-interaction is derived from the Hamiltonian path integral.

• OSTI ID: 6277951
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:6; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FEYNMAN PATH INTEGRAL
FUNCTIONS
HAMILTONIANS
INTEGRALS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTIZATION
QUANTUM OPERATORS
SYMMETRY BREAKING
UNIFIED GAUGE MODELS
VECTOR FIELDS