# Covariant canonical quantization of fields and Bohmian mechanics

@article{Nikoli2004CovariantCQ, title={Covariant canonical quantization of fields and Bohmian mechanics}, author={Hrvoje Nikoli{\'c}}, journal={The European Physical Journal C - Particles and Fields}, year={2004}, volume={42}, pages={365-374} }

Abstract.We propose a manifestly covariant canonical method of field quantization based on the classical De Donder-Weyl covariant canonical formulation of field theory. Owing to covariance, the space and time arguments of fields are treated on an equal footing. To achieve both covariance and consistency with standard non-covariant canonical quantization of fields in Minkowski spacetime, it is necessary to adopt a covariant Bohmian formulation of quantum field theory. A preferred foliation of…

## 16 Citations

Covariant canonical quantization

- Physics
- 2005

We present a manifestly covariant quantization procedure based on the de Donder–Weyl Hamiltonian formulation of classical field theory. This procedure agrees with conventional canonical quantization…

Strings, world-sheet covariant quantization and Bohmian mechanics

- Physics
- 2006

The covariant canonical method of quantization based on the De Donder–Weyl covariant canonical formalism is used to formulate a world-sheet covariant quantization of bosonic strings. To provide the…

Boson-Fermion Unification, Superstrings, and Bohmian Mechanics

- Physics
- 2009

Bosonic and fermionic particle currents can be introduced in a more unified way, with the cost of introducing a preferred spacetime foliation. Such a unified treatment of bosons and fermions…

Bohmian mechanics in relativistic quantum mechanics, quantum field theory and string theory

- Physics
- 2006

I present a short overview of my recent achievements on the Bohmian interpretation of relativistic quantum mechanics, quantum field theory and string theory. This includes the relativistic-covariant…

QUANTUM DETERMINISM FROM QUANTUM GENERAL COVARIANCE

- Physics
- 2006

The requirement of general covariance of quantum field theory (QFT) naturally leads to quantization based on the manifestly covariant De Donder–Weyl formalism. To recover the standard noncovariant…

Covariant Guiding Laws for Fields

- Physics, Mathematics
- 2021

After reviewing what is known about the passage from the classical Hamilton–Jacobi formulation of non-relativistic point-particle dynamics to the non-relativistic quantum dynamics of point particles…

Noncommutative conformally coupled scalar field cosmology and its commutative counterpart

- Physics
- 2005

We study the implications of a noncommutative geometry of the minisuperspace variables for the Friedmann-Robertson-Walker universe with a conformally coupled scalar field. The investigation is…

PROBABILITY IN RELATIVISTIC QUANTUM MECHANICS AND FOLIATION OF SPACE–TIME

- Mathematics
- 2007

The conserved probability densities (attributed to the conserved currents derived from relativistic wave equations) should be nonnegative and the integral of them over an entire hypersurface should…

Precanonical quantization and the Schr\"odinger wave functional revisited

- Mathematics
- 2011

We address the issue of the relation between the canonical functional Schr\"odinger representation in quantum field theory and the approach of precanonical field quantization proposed by the author,…

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

- Physics
- 2022

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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