A Wick Rotation for Spinor Fields: the Canonical Approach

TL;DR

This paper introduces a canonical formulation of a new Wick rotation for Dirac spinors, transforming the action into a Hermitian form in Euclidean space, building on previous path integral work.

Contribution

It provides the first canonical approach to the new Wick rotation for spinor fields, complementing prior path integral formulations.

Findings

Hermitian Euclidean action for Dirac spinors established

Canonical formulation aligns with Osterwalder and Schrader's framework

Advances the theoretical understanding of spinor field rotations

Abstract

Recently we proposed a new Wick rotation for Dirac spinors which resulted in a hermitean action in Euclidean space. Our work was in a path integral context, however, in this note, we provide the canonical formulation of the new Wick rotation along the lines of the proposal of Osterwalder and Schrader.