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**1 - 2**of**2**### Effective Lagrangian of Thermal QED with External Magnetic Field and the Static Limit of the Polarization Operator

, 1995

"... A low-temperature expansion of QED one-loop effective Lagrangian valid for a wide range of parameters is presented in a form of finite sums of elementary functions. Starting from the effective action components of the one-loop polarization operator responsible for Hall conductivity and Debye screeni ..."

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A low-temperature expansion of QED one-loop effective Lagrangian valid for a wide range of parameters is presented in a form of finite sums of elementary functions. Starting from the effective action components of the one-loop polarization operator responsible for Hall conductivity and Debye screening are obtained. It is shown that in a strong background magnetic field the Debye radius depends on spatial direction.

### Temperature Expansions for Magnetic Systems

, 1996

"... We derive finite temperature expansions for relativistic fermion systems in the presence of background magnetic fields, and with nonzero chemical potential. We use the imaginary-time formalism for the finite temperature effects, the proper-time method for the background field effects, and zeta funct ..."

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We derive finite temperature expansions for relativistic fermion systems in the presence of background magnetic fields, and with nonzero chemical potential. We use the imaginary-time formalism for the finite temperature effects, the proper-time method for the background field effects, and zeta function regularization for developing the expansions. We emphasize the essential difference between even and odd dimensions, focusing on 2 + 1 and 3 + 1 dimensions. We concentrate on the high temperature limit, but we also discuss the T = 0 limit with nonzero chemical potential. I.