Preprint Article Version 1 This version is not peer-reviewed

# Introduction to Quantum Field Theory in C4 Space-Time

Version 1 : Received: 17 September 2018 / Approved: 19 September 2018 / Online: 19 September 2018 (08:26:17 CEST)

How to cite: Mastoridis, D.; Kalogirou, K. Introduction to Quantum Field Theory in C4 Space-Time. Preprints 2018, 2018090370 (doi: 10.20944/preprints201809.0370.v1). Mastoridis, D.; Kalogirou, K. Introduction to Quantum Field&nbsp;Theory in C4 Space-Time. Preprints 2018, 2018090370 (doi: 10.20944/preprints201809.0370.v1).

## Abstract

We explore the possibility to nd the usual quantum theories, within the formulation of a classic theory of mechanics in C4. Speci cally, by releasing the end-point of the integral of the action derived in C4, we derive the dynamic path length of the geodesic equation in C4. In the at case, the derived Hamilton-Jacobi equations, were identi ed as the usual Klein-Gordon equation, where the complex functional action S(zi), is identi ed as the usual complex scalar field φ. Afterwards, we study the energy-momentum 4-d complex vector, in order to re-establish the usual covariant derivative of gauge theories.

## Subject Areas

uni ed theories; complex space-time; gauge theories; particle theory; Higg's boson; geoemetric uni cation