Induced Charge in Dense Magnetized Fermionic Medium at Finite Temperature

Tensor of the one-photon vertex in the presence of a strong magnetic field and finite temperature in dense medium is computed, its properties are investigated. Calculations are performed in analytical forms for two cases: at zero temperature and at high temperatures. The integral form of the tensor function is obtained for a general case. The perturbation approach is used, i. e. the tensor function is represented as the sum of the Feynman's diagrams at the first order. Induced charge generation by joint presence of chemical potential, finite temperature and strong magnetic field is investigated in detail.