ELEMENTARY PARTICLES AND FIELDS TheoryThe Chiral Magnetic Effect and Chiral Symmetry Breaking in SU (3) SU (3) SU (3) Quenched Lattice Gauge Theory * Abstract-We study some properties of the non-Abelian vacuum induced by strong external magnetic field. We perform calculations in the quenched SU (3) lattice gauge theory with tadpole-improved L¨uscher-Weisz action and chirally invariant lattice Dirac operator. The following results are obtained: The chiral symmetry breaking is enhanced by the magnetic field. The chiral condensate depends on the strength of the applied field as a power function with exponent ν = 1.6 ± 0.2. There is a paramagnetic polarization of the vacuum. The corresponding susceptibility and other magnetic properties are calculated and compared with the theoretical estimations. There are nonzero local fluctuations of the chirality and electromagnetic current, which grow with the magnetic field strength. These fluctuations can be a manifestation of the Chiral Magnetic Effect.

Abstract.A mathematical model for analysis of Love waves propagating in stratified anisotropic (monoclinic) media is presented; this model is based on a newly developed Modified Transfer Matrix (MTM) method. Closed form dispersed relations are obtained for media consisting of one or two orthotropic layers lying on orthotropic substrate. Conditions for existence of Love waves are analyzed. Horizontally polarized shear surface waves of non-Love type are constructed.A numerical algorithm is worked out for obtaining dispersion relations for Love waves propagating in stratified media containing a large number of layers.

Abstract.A six-dimensional complex formalism for analysis of Lamb waves propagating with subsonic speed in anisotropic plates is formulated. Conditions for nonexistence of certain Lamb waves in anisotropic plates are obtained. An example of a transversely isotropic plate having "forbidden" speed at which no subsonic Lamb wave propagates is presented.

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Abstract.Existence of "forbidden" planes, on which Rayleigh waves cannot propagate, is discussed.A mathematical model for anisotropic materials possessing "forbidden" planes is constructed.An example of transversely isotropic material having "forbidden" planes is presented.

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The phonon dispersion and phonon density of states of LuB2C (Pbam) show the absence of negative phonon frequencies, i.e. this system is dynamically stable.

Heat capacity and thermal expansion of LuB50 boride were experimentally studied in the 2-300 K temperature range. The data reveal an anomalous contribution to the heat capacity at low temperatures. The value of this contribution is proportional to the first degree of temperature. It was identified that this anomaly in heat capacity is caused by the effect of disorder in the LuB50 crystalline structure and it can be described in the soft atomic potential model (SAP). The parameters of the approximation were determined. The temperature dependence of LuB50 heat capacity in the whole temperature range was approximated by the sum of SAP contribution, Debye and two Einstein components. The parameters of SAP contribution for LuB50 were compared to the corresponding values for LuB66, which was studied earlier. Negative thermal expansion at low temperatures was experimentally observed for LuB50. The analysis of the experimental temperature dependence for the Gruneisen parameter of LuB50 suggested that the low-frequency oscillations, described in SAP mode, are responsible for the negative thermal expansion. Thus, the glasslike character of the behavior of LuB50 thermal characteristics at low temperatures was confirmed.