# Quark Matter 2019 - the XXVIIIth International Conference on Ultra-relativistic Nucleus-Nucleus Collisions

3-9 November 2019
Wanda Reign Wuhan Hotel
Asia/Shanghai timezone

## Meson masses in external magnetic fields from Lattice QCD

4 Nov 2019, 17:40
20m
Wanda Han Show Theatre & Wanda Reign Wuhan Hotel

#### Wanda Han Show Theatre & Wanda Reign Wuhan Hotel

Poster Presentation New theoretical developments

### Speaker

Xiao-Dan Wang (CCNU)

### Description

We will present the first study in full QCD on meson temporal correlation functions in the presence of external magnetic fields at zero temperature. The simulations of (2+1)-flavor QCD were performed on 32$^3$x96 lattices using the Highly Improved Staggered Quarks (HISQ) action with $m_{\pi}$ around 230 MeV. The strength of magnetic fields is up to 3 GeV$^2$.

We found that the masses of neutral pseudo-scalars monotonically decrease as the magnetic field grows and then saturate at a nonzero value. It is observed that heavier neutral pseudo-scalars are less affected by magnetic fields. While the masses of charged pion and kaon show a non-monotonic behavior in magnetic field, which is different from all the previous studies from quenched QCD. In the case of small magnetic field (0 $\leq~|eB|\le$ 0.3 GeV$^2$ ) the mass of charged pseudo-scalar grows with magnetic field and can be well described by the Lowest Landau Level approximation, while for eB larger than 0.3 GeV$^2$ the mass starts to decrease.

We will discuss the possible connection between eB dependences of mesons in pseudo-scalar channels and the decreasing behavior of pseudo-critical temperature in magnetic field. We will also discuss the possibility of superconductivity of QCD induced by strong magnetic field through the study on eB dependence of meson masses in the vector channel.

### Primary authors

Xiao-Dan Wang (CCNU) Heng-Tong Ding (Central China Normal University) Mr Sheng-Tai Li (CCNU) Swagato Mukherjee (Brookhaven National Laboratory) Akio Tomiya (RIKEN BNL Research Center)