# On the evaluation of vortical susceptibility of chiral condensate in QCD

## TL;DR

This paper derives the vortical susceptibility of the chiral condensate in QCD using both spectral analysis in curved spacetime and holographic methods, providing a dual perspective on the phenomenon.

## Contribution

It introduces two novel derivations of the vortical susceptibility in QCD, connecting spectral and holographic approaches for the first time.

## Key findings

- Derived susceptibility via Dirac spectrum in curved spacetime
- Expressed susceptibility through holographic QCD
- Provides dual theoretical perspectives on vortical effects

## Abstract

The vortical susceptibility of chiral condensate is derived in two ways. First we obtain this using the spectrum of the Dirac operator in a metric of a curved space-time, which corresponds to rotation. Second we come to the expression for the susceptibility via the holographic approach to QCD.