Introduction to Causal Fermion Systems

TL;DR

This paper provides a concise introduction to causal fermion systems, covering their historical background, fundamental physical concepts, the fermionic projector principle, and the main theoretical structures.

Contribution

It offers a comprehensive overview of causal fermion systems, clarifying their foundational ideas and connecting them to physical principles and the fermionic projector.

Findings

Clarifies the connection between the fermionic projector and causal fermion systems

Outlines the main structures and principles of the theory

Provides historical and physical context for the theory

Abstract

This paper is dedicated to give a concise introduction to the theory of causal fermion systems. After putting the theory of causal fermion systems into the historical context, we recall fundamental physical preliminaries. Afterwards, we enter the underlying ideas of the principle of the fermionic projector and clarify its connection to causal fermion systems. We finally outline the main structures of the theory of causal fermion systems.