Polysymplectic Hamiltonian formalism and some quantum outcomes

TL;DR

This paper develops a covariant polysymplectic Hamiltonian formalism for field theory, framing it as a Lagrangian system on a polysymplectic phase space to facilitate quantization within standard quantum field theory.

Contribution

It introduces a novel covariant polysymplectic Hamiltonian framework that bridges classical field theory and quantum field theory for quantization.

Findings

Formulation of covariant polysymplectic Hamiltonian field theory

Connection established between polysymplectic formalism and quantum field quantization

Potential for new quantization methods in classical field theories

Abstract

Covariant (polysymplectic) Hamiltonian field theory is formulated as a particular Lagrangian theory on a polysymplectic phase space that enables one to quantize it in the framework of familiar quantum field theory.