English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the criticality of chiral phase transition manifested in thefirst and second order derivatives of Dirac eigenvalue spectrum with respect tolight quark mass in (2+1)-flavor lattice QCD. Simulations are performed attemperatures from about 137 MeV to 176 MeV on $N_{\tau}=8$ lattices using thehighly improved staggered quarks and the tree-level improved Symanzik gaugeaction. The strange quark mass is fixed to its physical value$m_s^{\text{phy}}$ and the light quark mass is set to $m_s^{\text{phy}}/40$which corresponds to a Goldstone pion mass $m_{\pi}=110$ MeV. We find that incontrast to the case at $T\simeq 205$ MeV $m_l^{-1} \partial \rho(\lambda,m_l)/\partial m_l$ is no longer equal to $\partial ^2\rho(\lambda,m_l)/\partial m_l^2$ and $\partial ^2\rho(\lambda, m_l)/\partial m_l^2$ evenbecomes negative at certain low temperatures. This means that as temperaturegetting closer to $T_c$ $\rho(\lambda, m_l)$ is no longer proportional to$m_l^2$ and thus dilute instanton gas approximation is not valid for thesetemperatures. We demonstrate the temperature dependence can be factored out in$\partial \rho(\lambda, m_l)/ \partial m_l$ and $\partial^2 \rho(\lambda, m_l)/\partial m_l^2$ at $T \in [137, 153]$ MeV, and then we propose a feasiblemethod to estimate the power $c$ given $\rho \propto m_l^{c}$.

Correlated Dirac eigenvalues around the transition temperature on $N_{\tau}=8$ lattices