Equivalence of Hamiltonian and Lagrangian Path Integral Quantization: Effective Gauge Theories

Abstract

The equivalence of correct Hamiltonian and naive Lagrangian (Faddeev--Popov) path integral quantization (Matthews's theorem) is proven for gauge theories with arbitrary effective interaction terms. Effective gauge-boson self-interactions and effective interactions with scalar and fermion fields are considered. This result becomes extended to effective gauge theories with higher derivatives of the fields.

14 pages LaTeX, BI-TP 93/40, August 1993

References in corpus (6)

• The Electroweak Chiral Lagrangian and New Precision Measurements
• Effective Field Theory of Anomalous Gauge-Boson Couplings at High-Energy pp Colliders
• One Loop Effects of Non-Standard Triple Gauge Boson Vertices
• Unitary Gauge, Stueckelberg Formalism and Gauge Invariant Models for Effective Lagrangians
• Non-Standard Gauge-Boson Self-Interactions within a Gauge Invariant Model
• Hamiltonian Quantization of Effective Lagrangians with Massive Vector Fields

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• Effective Lagrangians with Higher Order Derivatives
• Integrating out the Standard Higgs Field in the Path Integral
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• The new modified Vlasov equation for the systems with dissipative processes
• An Analysis of the First Order Form of Gauge Theories
• Non-Trivial Ghosts and Second Class Constraints
• Generalized Standard Model with higher-order derivatives under Rotor Mechanism and its Quantization