A continuous Wick rotation for spinor fields and supersymmetry in Euclidean space

TL;DR

This paper introduces a continuous Wick rotation for spinor fields that smoothly transitions between Minkowski and Euclidean space, facilitating the study of supersymmetry in different spacetime signatures.

Contribution

It presents a novel continuous Wick rotation method for various spinor fields, bridging Minkowski and Euclidean formulations in a unified framework.

Findings

Provides a continuous interpolation between Minkowski and Euclidean spinor theories.

Enables new approaches to supersymmetry in Euclidean space.

Lays groundwork for further studies in quantum field theory and supersymmetry.

Abstract

We obtain a continuous Wick rotation for Dirac, Majorana and Weyl spinors $\psi \to \exp ({1\over 2} \theta \gamma^4 \gamma^5)\psi$ which interpolates between Minkowski and Euclidean field theories.