Derivation of quantum theories:symmetries and the exact solution of the derived system

TL;DR

This paper explores the properties of a derived quantum system, demonstrating it retains original symmetries and expressing its Green functions through semiclassical approximations, thus advancing understanding of derived quantum theories.

Contribution

It introduces a method to analyze derived quantum systems, showing they preserve original symmetries and relate Green functions to semiclassical approximations.

Findings

Derived quantum system retains original symmetries.

Exact Green functions are expressed via semiclassical Green functions.

The method provides insights into the properties of derived quantum theories.

Abstract

Based on the technique of derivation of a theory, presented in our recent paper, we investigate the properties of the derived quantum system. We show that the derived quantum system possesses the (nonanomalous) symmetries of the original one, and prove that the exact Green functions of the derived theory are expressed in terms of the semiclassically approximated Green functions of the original theory.