Non-Abelian chiral instabilities at high temperature on the lattice

Yukinao Akamatsu, Alexander Rothkopf, Naoki Yamamoto

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Abstract: We report on an exploratory lattice study on the phenomenon of chiral instabilities in non-Abelian gauge theories at high temperature. It is based on a recently constructed anomalous Langevin-type effective theory of classical soft gauge fields in the presence of a chiral number density n5 = nR − nL. Evaluated in thermal equilibrium using classical lattice techniques it reveals that the fluctuating soft fields indeed exhibit a rapid energy increase at early times and we observe a clear dependence of the diffusion rate of topological charge (sphaleron rate) on the the initial n5, relevant in both early universe baryogenesis and relativistic heavy-ion collisions. The topological charge furthermore shows a drift among distinct vacuum sectors, roughly proportional to the initial n5 and in turn the chiral imbalance is monotonously reduced as required by helicity conservation.

Original languageEnglish
Article number210
JournalJournal of High Energy Physics
Issue number3
Publication statusPublished - 2016 Mar 1


  • Anomalies in Field and String Theories
  • Lattice Quantum Field Theory
  • Topological States of Matter

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Non-Abelian chiral instabilities at high temperature on the lattice'. Together they form a unique fingerprint.

Cite this