Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature

In the first order of chiral perturbation theory the corrections to $F_{\pi^0}$ and $M_{\pi^0}$ in a magnetic field at finite temperature have been found. It was shown that they are shifted in such a manner that Gell-Mann - Oakes - Renner relation remains valid under these conditions.Comment: 6 pages, LaTeX2

Formation of light antinuclei and "dense gas" stage in heavy ion collisions

The antideuteron and antihelium-3 production rates at high-energy heavy ion collisions are calculated in the framework of fusion mechanism when participating particles are moving in the mean field of other fireball constituents. It is shown that coalescence parameters can be found from the requirement of balance between created and disintegrated antinuclei. The explicit formulae for coalescence parameters are presented and compared with experimental data.Comment: To be published in "Proceedings of the 18th International Nuclear Physics Divisional Conference of the EPS (NPDC18), 2004.

Emission of Axions in strongly magnetized star

We show that the axion decay constant does not get any correction at any order by external magnetic fields. On the other hand, in the context of the Wilsonian effective action under external magnetic fields, the axial currents get a finite correction. We then calculate the effect of strong magnetic fields $B>10^{18}G$ on the axion-nucleon coupling and find that if $B\gtrsim 10^{20}~G$ in strongly magnetized neutron and white dwarf stars, the emission rate of axions is enhanced by several orders of magnitude.Comment: 11 pages, RevTeX, 4 Postscript figures, uses epsf.st

Defining relations of a free modular lattice of rank 3

For a 3-generated free modular lattice we obtain a set of 11 defining relations and prove that this set is minimal. © 2013 Allerton Press, Inc

Phase structure of the QCD vacuum in a magnetic field at low temperature

We study the QCD phase structure in magnetic field $H$ at low temperature $T$. The hadronic phase free energy in a constant homogeneous magnetic field is calculated in one-loop approximation of the chiral perturbation theory. The dependence of the quark and gluon condensates upon the temperature and field strength is found. It is shown that the chiral phase transition order parameter $$ remains constant provided field strength and temperature are related via $H=const \cdot T^2$.Comment: LaTeX, 10 pages, 1 eps figure, replaced by version published in Phys.Lett.