Some Properties of Charge-Conjugated Spinors in $D$ dimensions

TL;DR

This paper examines the properties of charge-conjugated spinors in arbitrary D-dimensional Minkowski spaces, focusing on their kinetic and mass terms relative to the number of time-like dimensions.

Contribution

It provides a reassessment of spinor properties in D-dimensional Minkowski space and discusses conditions for formulating kinetic and mass terms for charge-conjugated spinors.

Findings

Charge-conjugated spinors' properties depend on space-time signature.

Conditions for kinetic and mass terms are linked to the number of time-like directions.

Framework applicable to various D-dimensional theories.

Abstract

Spinors for an arbitrary Minkowski space with signature ($t$, $s$) are reassessed in connection with $D$-dimensional free Dirac action. The possibility of writing down kinetic and mass terms for charge-conjugated spinors is discussed in terms of the number of time-like directions of the space-time.