Consistent quantization of nearly singular superconducting circuits

M Rymarz, DP DiVincenzo - Physical Review X, 2023 - APS
The theory of circuit quantum electrodynamics has successfully analyzed superconducting
circuits on the basis of the classical Lagrangian, and the corresponding quantized …

Canonical analysis and modified Faddeev-Jackiw approach for the Jackiw-Teitelboim model in two dimensions

JM Cabrera, JMP Fuentes - Physica Scripta, 2023 - iopscience.iop.org
This article presents an analysis of the constraints of the Jackiw-Teitelboim model in two
dimensions via the canonical analysis using the Dirac algorithm and modified Faddeev …

[HTML][HTML] Reduction of order and Fadeev–Jackiw formalism in generalized electrodynamics

AA Nogueira, C Palechor, AF Ferrari - Nuclear Physics B, 2019 - Elsevier
The aim of this work is to discuss some aspects of the reduction of order formalism in the
context of the Fadeev–Jackiw symplectic formalism, both at the classical and the quantum …

Higher-derivative non-Abelian gauge fields via the Faddeev–Jackiw formalism

R Bufalo, BM Pimentel - The European Physical Journal C, 2014 - Springer
In this paper we analyze two higher-derivative theories, the generalized electrodynamics
and the Alekseev–Arbuzov–Baikov effective Lagrangian from the point of view of the …

[HTML][HTML] Path integral quantization of generalized Stueckelberg electrodynamics: A Faddeev-Jackiw approach

LG Caro, GB de Gracia, AA Nogueira, BM Pimentel - Nuclear Physics B, 2023 - Elsevier
We build a setup for path integral quantization through the Faddeev-Jackiw approach,
extending it to include Grassmannian degrees of freedom, to be later implemented in a …

Particle on a torus knot: symplectic analysis

S Anjali, S Gupta - The European Physical Journal Plus, 2022 - Springer
We quantize a particle confined to move on a torus knot satisfying constraint condition
(\(p\theta+ q\phi)\approx 0\), within the context of a geometrically motivated approach—the …

Modified Faddeev–Jackiw quantization of massive non-Abelian Yang–Mills fields and Lagrange multiplier fields

YC Huang, JL Yang - Physics Letters B, 2008 - Elsevier
Massive Yang–Mills fields and Lagrange multiplier fields are quantized by the modified
Faddeev–Jackiw quantization method, and the method's comparisons with Dirac method …

Faddeev–Jackiw quantization of Christ–Lee model

S Anjali, S Gupta - Modern Physics Letters A, 2020 - World Scientific
We analyze the constraints of Christ–Lee model by means of modified Faddeev–Jackiw
formalism in Cartesian as well as polar coordinates. Further, we accomplish quantization à …

Faddeev–Jackiw canonical path integral quantization for a general scenario, its proper vertices and generating functionals

YC Huang, L Liao, XG Lee - The European Physical Journal C, 2009 - Springer
Abstract We generalize the Faddeev–Jackiw canonical path integral quantization for the
scenario of a Jacobian with J= 1 to that for the general scenario of non-unit Jacobian, give …

Dirac and Faddeev–Jackiw quantization of a five-dimensional Stüeckelberg theory with a compact dimension

A Escalante, M Zarate - Annals of Physics, 2015 - Elsevier
A detailed Hamiltonian analysis for a five-dimensional Stüeckelberg theory with a compact
dimension is performed. First, we develop a pure Dirac's analysis of the theory; we show that …