Spectrum of QCD at Finite Isospin Density

Philipp Scior,Dominik Smith,Lorenz Von Smekal

doi:10.1051/epjconf/201817507042

Philipp Scior, Dominik Smith + Show 1 more

Open Access

https://doi.org/10.1051/epjconf/201817507042

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Abstract

We study the phase diagram of QCD at finite isospin density using two flavors of staggered quarks. We investigate the low temperature region of the phase diagram where we find a pion condensation phase at high chemical potential. We started a basic analysis of the spectrum at finite isospin density. In particular, we measured pion, rho and nucleon masses inside and outside of the pion condensation phase. In agreement with previous studies in two-color QCD at finite baryon density we find that the Polyakov loop does not depend on the density in the staggered formulation.

Highlights

Knowledge about the phase diagram of QCD is of great importance for studying various phenomena in nature
Lattice QCD is unable to provide us with results for the bigger part of the phase diagram as lattice QCD suffers from the fermion sign problem at finite baryon chemical potential [1]
By studying the finite isospin density region of the QCD phase diagram we can learn about general features of relativistic field theories at finite density that occur in QCD with finite baryon density, e.g. the Silverblaze property [2]

Summary

Introduction

Knowledge about the phase diagram of QCD is of great importance for studying various phenomena in nature. It is known from earlier studies [4] that at low temperatures and high isospin chemical potential we find a second order phase transition to a phase with a Bose-Einstein condensate of charged pions. We find that all thermodynamic observables stay constant at their vacuum values until at some value of μI the pion condensate and the net isospin density start to rise and the chiral condensate starts to drop This indicates that we entered the phase where the ground state is a Bose-Einstein condensate of charged pions. The difference between both fermion discretizations at finite density should be explored by further studies in the future

Spectroscopy

Spectroscopy with finite pion sources

Spectroscopy at vanishing isospin chemical potential

Spectroscopy at finite isospin chemical potential

Summary