Chiral magnetic effect at low temperature

الأصل · EN

We investigate the chiral magnetic effect (CME) under a strong magnetic field B = B₀ x₃ at low temperature T < Tᶜhic. For this purpose, we employ the instanton vacuum configuration with the finite instanton-number fluctuation Delta, which relates to the nontrivial topological charge Qₜ. We compute the vacuum expectation values of the local chiral density <rhochi>, chiral charge density <nchi> and induced electromagnetic current <jₘu>, which signal the CME, as functions of T and B₀. We observed that the longitudinal EM current is much larger than the transverse one, |jₚerp/jₚarallel| Qₜ, and the <nchi> equals to the |<j₃,₄>|. It also turns out that the CME becomes insensitive to the magnetic field as T increases, according to the decreasing instanton, i.e. tunneling effect. Within our framework, the instanton contribution to the CME becomes almost negligible beyond T 300 MeV.