Low-energy hadronic physics in holographic $\mathrm{QCD_{3}}$ with anisotropy

TL;DR

This paper uses holographic duality to study anisotropic three-dimensional QCD-like theories, analyzing hadronic spectra, transport, and stability under anisotropy effects.

Contribution

It constructs an anisotropic holographic model for 3D QCD-like theories and systematically investigates hadronic spectra, transport properties, and stability related to anisotropy.

Findings

Dragging terms significantly influence transport properties in anisotropic holography.

Large anisotropy can destabilize the confining phase in the model.

Numerical results show hadronic systems become unstable when anisotropy exceeds confinement energy.

Abstract

Using the gauge-gravity duality, we construct the anisotropic D3/D7 approach as a three-dimensional QCD-like theory, then investigate systematically the hadronic mass spectra, the dragging terms and the lowest hadronic interactions in the presence of the anisotropy in holography. Our derivation illustrates the dragging terms in the effective action are very necessary for an anisotropic theory since they are the key roles to affect the transport properties of the dual theory. And the numerical results in addition imply the hadronic system will become unstable if the anisotropy is much larger than its confinement energy scale. It agrees with that the confining phase in this approach becomes unstable if the anisotropy is sufficiently large in our previous works with this model. Therefore, this work is constructive to understand the anisotropy in the gauge field theory.