Quark-hadron phase transition in QCD in the presence of magnetic field is studied. It is shown that both the temperature of a phase transition and latent heat decrease compared to the case of zero magnetic field. The phase diagram in the plane temperature-magnetic field is presented. Critical point, T * = 104 MeV, √ eH * = 600 MeV, for which the latent heat goes to zero, is found.
Effective Chiral Lagrangian is derived from QCD in the framework of Field Correlator Method. It contains the effects of both confinement and chiral symmetry breaking due to a special structure of the resulting quark mass operator. It is shown that this Lagrangian describes light pseudoscalar mesons, and Gell-Mann-OakesRenner relations for pions, eta and K mesons are reproduced. Spectrum of radial excitations of pions and K mesons is found and compared to experimentally known masses. PACS: 11.15.Tk,11.30.Rd,12.39.Fe,14.40.Aq 1. QCD is known to possess two highly nontrivial features at low temperatures, namely confinement and chiral symmetry breaking (CSB). At some critical temperature phase transitions of deconfinement and chiral symmetry restoration occur. From lattice calculations it is known that these two phase transitions take place at the same temperature [1,2]. The fact that two critical temperatures coincide was not fully understood so far. This work is a continuation of a series of papers [3,4,5], where it is argued that CSB occurs due to confinement in a very nontrivial way.It was shown in [3] that effective four-quark interaction leading to spontaneous chiral symmetry breaking, occurs in QCD due to confinement, and is associated with the QCD string. Thus, CSB is closely connected to confinement. In this approach the Effective Chiral Lagrangian (ECL) containing fields of light pseudo-scalar mesons is derived from QCD Lagrangian. This is done by integrating out gluon fields and performing bosonisation. At the same time confinement is taken into account through specific form of gluon-field correlators.As a result, expanding in powers of (derivatives) of bosonic fields, one obtains the ECL similar to the celebrated Gasser-Leutwyler Lagrangian [6], however in the nonlocal form [3].We expand ECL in powers of meson fields, and reproduce standard Gell-Mann-Oakes-Renner relations, while meson masses are zero in the chiral limit. It is shown that the vanishing of meson masses happens due to cancellation of two terms in Green's functions of mesons. Poles of Green's function corresponding to radial excitations of pseudoscalar mesons are displaced from the masses, obtained in Hamiltonian approach 2) fedorov@heron.itep.ru 2) simonov@heron.itep.ru without CSB effects (see e.g. [7] and references therein), and are shifted down by less than 15 %.
2.We consider Euclidean partition function for quarks and gluons in the presence of external classical currents v µ , a µ , s and p Z = DADψDψ exp [−(S 0 + S 1 + S int + S g.f. + S gh )] ,
Interference stabilization of atoms is investigated numerically. Raman-type transitions to Rydberg states with higher values of the electron orbital momentum are taken into account. These transitions are shown to change qualitatively theoretical predictions concerning the dependence of the time of ionization t i on the light-field-strength amplitude ε 0 : if the weakfield time of ionization, as usual, is a falling function of ε 0 , in a strong-field region the function t i (ε 0 ) is predicted to be more or less constant and of the order of the classical Kepler period t K in a rather large interval of ε 0 , in contrast with the earlier prediction according to which, in a strong field, t i (ε 0 ) was assumed to be a rather fast growing function. The results derived are shown to be in a rather good agreement with the existing experiments. Alternative theoretical models are discussed.
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