SchrÖdinger Wave Functional in Quantum Yang–Mills Theory from Precanonical Quantization

@article{Kanatchikov2018SchrdingerWF,
  title={Schr{\"O}dinger Wave Functional in Quantum Yang–Mills Theory from Precanonical Quantization},
  author={Igor V. Kanatchikov},
  journal={Reports on Mathematical Physics},
  year={2018}
}
  • I. Kanatchikov
  • Published 14 May 2018
  • Mathematics
  • Reports on Mathematical Physics
View PDF on arXiv
10 Citations
Background Citations
2
Methods Citations
3

10 Citations

On the Precanonical Structure of the Schrödinger Wave Functional in Curved Space-time

A relationship between the functional Schr\"odinger representation and the precanonical quantization of a scalar field theory is extended to an arbitrary curved space-time. The canonical functional…

Precanonical Structure of the Schrödinger Wave Functional of a Quantum Scalar Field in Curved Space-Time

The functional Schrödinger representation of a nonlinear scalar quantum field theory in curved space-time is shown to emerge as a singular limit from the formulation based on precanonical…

Towards Precanonical Quantum Teleparallel Gravity

Quantization of the teleparallel equivalent of general relativity (TEGR) is discussed from the perspective of the space-time symmetric De Donder-Weyl (DW) Hamiltonian formulation with constraints and…

Schrödinger wave functional of a quantum scalar field in static space-times from precanonical quantization

  • I. Kanatchikov
  • Mathematics
    International Journal of Geometric Methods in Modern Physics
  • 2019
The functional Schrödinger representation of a scalar field on an [Formula: see text]-dimensional static space-time background is argued to be a singular limiting case of the hypercomplex quantum…

Clifford Algebraic Approach to the De Donder–Weyl Hamiltonian Theory

  • M. Fernandes
  • Mathematics
    Advances in Applied Clifford Algebras
  • 2022
The Clifford algebraic formulation of the Duffin–Kemmer–Petiau (DKP) algebras is applied to recast the De Donder–Weyl Hamiltonian (DWH) theory as an algebraic description independent of the matrix…

A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity

Motivated by the study of physical models associated with general relativity, we review some finite-dimensional, geometric and covariant formulations that allow us to characterize in a simple manner…

Polysymplectic formulation for BF gravity with Immirzi parameter

The polysymplectic formulation of the CMPR action, which is a BF-type formulation of general relativity that involves an arbitrary Immirzi parameter, is performed. We implement a particular scheme…

On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction

The covariant Hamilton-Jacobi formulation of Maxwell’s equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De Donder-Weyl covariant…

On the Covariant Hamilton-Jacobi Equation for the Teleparallel Equivalent of General Relativity

The covariant Hamilton-Jacobi equation for the Teleparallel Equivalent of General Relativity is derived based on the analysis of constraints within the De Donder-Weyl covariant Hamiltonian theory…

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