# Quantization of massive spinor fields around global monopoles

## TL;DR

This paper calculates the quantum stress energy tensor for a massive spinor field around global monopoles using the Schwinger-DeWitt approximation, revealing violations of energy conditions in this spacetime.

## Contribution

It provides the first detailed computation of the renormalized stress tensor for massive spinor fields in global monopole backgrounds using the Schwinger-DeWitt method.

## Key findings

- Quantum spinor fields violate all pointwise energy conditions around monopoles.
- The Schwinger-DeWitt approximation is valid for fields with Compton length much smaller than the curvature radius.
- Results contribute to understanding quantum effects in topological defect spacetimes.

## Abstract

The renormalized quantum stress energy tensor $\left<T_{\mu}^{\nu}\right>_{ren}$ for a massive spinor field around global monopoles is constructed within the framework of Schwinger-DeWitt approximation, valid whenever the Compton length of the quantum field is much less than the characteristic radius of the curvature of the background geometry. The results obtained shows that the quantum massive spinor field in the global monopole spacetime violates all the pointwise energy conditions.