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Derivative Expansion for the One-Loop Effective Lagrangian in QED
V. P. Gusynin, I. A. Shovkovy
The derivative expansion of the one-loop effective Lagrangian in QED is considered. The first term in such an expansion is the famous Schwinger result for a constant electromag…
Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy
It is shown that a constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion dynamical ma…
On the normal phase of 2D Fermi liquid with weak attraction between particles
V. P. Gusynin, V. M. Loktev, I. A. Shovkovy
Proceeding from the simplest field theoretical model of 2D metal, the normal phase Green functions of the weakly interacting fermions and the order parameter fluctuations (responsi…
Dimensional Reduction in Nambu-Jona-Lasinio Model in External Chromomagnetic Field
I. A. Shovkovy, V. M. Turkowski
The effective dimensional reduction of fermion-antifermion pairing dinamics in Nambu-Jona-Lasinio model in external chromomagnetic field is considered. It is shown that such a fiel…
On the Superconductivity of 2D System with Arbitrary Carrier Density in External Magnetic Field
V. P. Gusynin, V. M. Loktev, I. A. Shovkovy
Selfconsistent equations which describe the order parameter and chemical potential behaviour in metalic system as functions of external magnetic field, , temperature, ,…
Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy
It is shown that the chiral symmetry is spontaneously broken by a constant magnetic field in QED. The dynamical mass of fermions (energy gap in the fermion spectrum) is $m_{dyn}\si…