Angular Momentum Operator and Fermion-Pair Creation for Non-Abelian Fields

We study the extended structure of non-Abelian dyons, the generalized electromagnetic field and the resulting residual angular momentum in the interior as well as exterior regions of the dyon, and it has been demonstrated that at the dyonic centre there exists no well-defined U(1) charge symmetry and the density of residual angular momentum becomes infinity. The mechanism of creation of a fermionic pair at the dyonic core involving the extremely high density of residual angular momentum has been developed, which leads to baryon-number nonconservation in the presence of non-Abelian dyons. The fermion-number–breaking amplitudes in the presence of a non-Abelian dyon have been analyzed and are not suppressed by exp(– const/e ²). Further, the relevant properties of left-handed fermions in a non-Abelian field has been summarized and the zeroth-order approximation is described. Within this approximation the density of the fermion-number–breaking condensate is found to be O(1), i.e. to be independent of the coupling constant and of the vacuum expectation value of the Higgs field.     

Static potential of a point charge in reduced QED<Subscript>3+1</Subscript>

The potential of a point source placed on a flat surface is calculated in the context of reduced QED₃₊₁, and the effective charge behavior is investigated with allowance for the polarization of vacuum. Both approximate analytical and numerical methods are used in calculations. It is established that the behavior of the examined potential at short and long distances from the source does not deviate significantly from the Coulomb behavior of vacuum massless and massive fermions. Other deviations of the results obtained from the well-known standard QED₃₊₁ and QED₂₊₁ data are also discussed.     

Effective potential, the structure of fermion vacuum, and the mechanism of chiral symmetry breaking in QED3

Elementary-particle Physics and Field Theory

Effective potential, the structure of fermion vacuum, and the mechanism of chiral symmetry breaking in QED₃     

Confinement and properties of vacuum states in two-dimensional electrodynamics of massless quarks

Connections between the properties of vacuum states and the confinement phenomenon are investigated for QED₂.     

On the character of chiral symmetry breaking and fermion vacuum structure in QED<Subscript>3</Subscript>

Equation for the Bethe-Salpeter wave function of the Goldstone boson in QED₃ is considered in the ladder approximation with the use of the Landau gauge for the photon propagator. With the help of standard simplifications, the existence of nonzero solutions for this equation is demonstrated, which testifies to the production of the above-described boson in the process of chiral symmetry breaking. At the same time, it is demonstrated that only one of the entire set of solutions describing the Goldstone boson corresponds to the stable ground state; this solution has the greatest fermion mass. In the remaining cases, the compound boson state with zero mass is excited, and all other states having smaller energies appear tachyon states and hence are unstable. The fermion condensate is calculated; it is demonstrated that in the examined case, it is finite. Based on the foregoing, conclusions are drawn about spontaneous rather than dynamic character of chiral symmetry breaking in QED₃, complex structure of fermion vacuum for the examined model, and at the same time, simple structure of the massive phase vacuum.     

Superconductivity at 40 K in La1.8Sr0.2CuO4

High-T _c superconductivity withT _c onsets up to 42 K (midpoint: 37 K, zero resistance: 34 K) is observed in X-rays homogeneous single phase La_1.8Sr_0.2CuO₄. The quarternary compounds La_2–x Ba _x CuO₄ and La_2–x Sr _x CuO₄ (0x0.3 for Ba and 0x<1 for Sr, depending on the heating conditions) are mixed-valence oxygen defect oxides, characterized by the presence of Cu²⁺ and Cu³⁺ simultaneously. These oxides have a tetragonal symmetry (space group:I 4/mmm) similar to that of K₂NiF₄. We report the synthesis, characterization, and superconducting properties of various high-temperature superconducting La–Ba–Cu–O and La–Sr–Cu–O compounds. Through the substitution of Sr for Ba in these oxygen defect compounds an increasing superconducting transition temperature onset from 28 K to 35 K for La_1.8Sr_0.1Ba_0.1CuO₄ was observed. A positive initial pressure coefficient ofdTc/dp=290 (mK/kbar) has been found for La_1.8Sr_0.2CuO₄ with a magnetic susceptibility change consistent with the 100% diamagnetic expectation value.     

Analysis of the Resonance Raman Scattering Spectra and Line Spectra of Tetrabenzoporphin Metal Complexes

On the basis of the calculations of normal vibrations of Zn– and Cu–tetrabenzoporphin, the literature spectra of resonance Raman scattering of the above compounds and the fluorescence spectra of Zn–tetrabenzoporphin are interpreted. The nonmirror character of the fluorescence and fluorescence excitation spectra is noted for some B _1g symmetry type vibrations of the point group of symmetry D _4h caused by the symmetry breakdown of a molecule in its electronic state S ₁ due to the Jahn–Teller effect.     

Axial anomaly and chiral symmetry breaking in Schwinger model: A canonical approach

We use a recently introduced canonical surface formalism, to study the problem of chiral symmetry breaking in the Schwinger model. We perfect the parallel between QCD₄ and QED₂ in this respect.     

CHIRAL ANOMALY AND UNAMBIGUOUS TERMS OF EXACT SCALE BEHAVIOR

We perform new explicit and regularization-independent calculations of < AV > amplitude in QED₁₊₁ and amplitude in QED₁₊₃ respectively to reinvestigate the anomaly problem. A kind of finite and unambiguous terms of exact scale behavior (in momentum space) is found to be responsible for the anomalies both in QED₁₊₁ and QED₁₊₁. They come from logarithmically divergent momentum integrals in contrast with the usual knowledge for triaugle anomaly in QED₁₊₃. In QED₁₊₁, this term is also responsible for photon mass generation. Some implications and possible relations with other aspects of anomaly are discussed.     

Vacuum quantum effect for curved boundaries in static Robertson–Walker space–time

The energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved boundaries in k=−1 static Robertson–Walker space–time is investigated. We assume that the scalar field satisfies the Dirichlet boundary condition on the boundaries. k=−1 Robertson–Walker space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy–momentum tensor for conformally invariant field in Robertson–Walker space from the corresponding Rindler counterpart by the conformal transformation.     

Instability of the molecular structure of monobenzoporphin to the alternation of the macrocycle bond lengths and its manifestation in the electronic spectra

Quantum-chemical calculations of the geometric structure of the molecules of monobenzoporphin (H₂ MBP) and monobenzoporphin with methyl and ethyl substituents in the five-member rings (H₂MBPm) have been carried out by the restricted and unrestricted Hartree-Fock methods with the AM1 Hamiltonian (AM1 RHF and AM1 UHF methods). The calculation of the above-indicated molecules by the AM1 RHF method without restrictions on their symmetry has given, for them, a planar structure with an alternation of the lengths of the bonds along the 18-member azacyclopolyene and the symmetry C _1h for their aromatic part. The calculation of the transitions to the excited electron Q states in such a structure by the CNDO/S method has shown that these states are characterized by large hypsochromic shifts (~3000–4000 cm^–1 ) relative to the Q levels of porphin (H₂P), which is in contradiction with the experimental data, according to which these shifts are bathochromic and comprise = –330 cm ^–1 and = –750 cm^–1. Optimization of the geometry of the H₂ MBP and H₂MBPm molecules by the AM1 UHF method gives, for them, a structure with equal lengths of the bonds along the 18-member azacyclopolyene with a symmetry differing insignificantly from the D _2h symmetry; elements of the structure with a lower symmetry and an alternation of the lengths of the bonds are retained in the condensed pyrrolenine and benzene rings. The calculation of the shifts of the Q levels in the H₂MBPm molecule of this geometry relative to the analogous levels in H₂P has shown that they are bathochromic and equal to = –520 cm^–1, and the RHF calculation with optimization of the geometry of the molecule and restrictions on the effective symmetry D _2h of the 18-member azacyclopolyene has given = –350 cm^–1 and = –430 cm^–1. The restrictions imposed on the C ₂ symmetry of the H₂MBP molecules by the RHF method are inadequate to equalize the lengths of the bonds along the 18-member azacyclopolyene. The calculations of the energy of the B levels of the monobenzoporphyrins considered also lend credence to their geometric structure with equal lengths of the bonds along the 18-member azacyclopolyene.Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 71, No. 6, pp. 712–721, November–December, 2004.This revised version was published online in April 2005 with a corrected cover date.     

LETTER: On a Class of Solutions for Null Dust

In stationary metrics depending on two spacelike coordinates the field equations permit one to choose a radial coordinate r such that D ² := –g ₃₃ g ₄₄ + g ₃₄ ² = r ², leading to solutions with axial symmetry. However, solutions exist also for the case in which D ² = 1. These solutions are examined in this paper, and, if physically realistic, are found to refer to null dust or vacuum. This is at variance with the interpretation of Hoenselaers and Vishveshwara [4] who examined one of the solutions and concluded that it described non-null dust or vacuum.     

Spectroscopic and Magnetic-Optical Properties of Potassium-Erbium Double Tungstate

The results of spectroscopic investigations of potassium-erbium double tungstate KEr(WO₄)₂ are presented. The basic properties of the absorption spectra are described. The configuration diagram constructed for KEr(WO₄)₂ on the basis of experimental data is given. The magneto-optical properties in a magnetic field of up to 80 kOe in the spectral range from 14,000 to 20,000 cm^–1 have been measured. The optical spectra were studied for light polarized along the symmetry axis C ₂ and normal to it.     

Near-infrared photorefractivity in Cr-doped potassium sodium strontium barium niobate single crystal

We report on the photorefractive properties of a Cr-doped (K_1–x Na _x )_2A–2 (Sr _y Ba_1–y )_2–A Nb₁₀O₃₀ (x=0.586, y=0.659, A=1.12) single crystal in the near-infrared spectrum. The sample exhibits photorefractivity for wavelengths up to at least 840 nm where the steady-state two-beam coupling gain is found to be larger than 2 cm^–1. Photorefractive gain and decay rate are measured as a function of wavelength, grating spacing and intensity. The wavelength dependence of gain fluctuations in two-beam coupling are also measured.     

Divergencies in a vector model with hyperbolic symmetry on a chain

A chain of interacting vectors (, ) withn components subject to the hyperbolic conditions ²–²=1 is considered. The interaction possesses a global non-compactO(1, n–1)/O(1)×O(n–1) symmetry. Symmetries of this kind are known from the study of disordered electronic systems. The non-compactness of the symmetry group causes divergencies such that a symmetry breaking term is necessary. Asymptotic behaviour of the expectation values and long-ranged correlation functions are calculated for a small symmetry breaking field.Supported in part by the Deutsche Forschungsgemeinschaft through the Sonderforschungsbereich 123 at the University of Heidelberg     

The sources of the A and B degenerate static vacuum fields

We study some known static vacuum solutions of Einstein's equations, namely, the A and B metrics of Ehlers and Kundt. All of them have axial symmetry, so they can be transformed to the Weyl form. In Weyl coordinates log –g ₄₄ obeys a Laplace equation, and from this a source, calledthe Newtonian image source, can be identified. We use the image sources to give a possible interpretation to the metrics. The procedure is successful in some cases. In others it fails because the Weyl transform does not have reasonable properties at infinity.     

Electron scattering on disordered double-barrier GaAs–AlxGa1−xAs heterostructures

We present a novel model to calculate vertical transport properties such as conductance and current in unintentionally disordered double-barrier GaAs–Al_xGa_1−xAs heterostructures. The source of disorder comes from interface roughness at the heterojunctions (lateral disorder) as well as spatial inhomogeneities of the Al mole fraction in the barriers (compositional disorder). Both lateral and compositional disorder break translational symmetry along the lateral direction and therefore electrons can be scattered off the growth direction. The model correctly describes channel mixing due to these elastic scattering events. In particular, for realistic degree of disorder, we have found that the effects of compositional disorder on transport properties are negligible as compared to the effects due to lateral disorder.     

A<Subscript>4</Subscript> model for the quark mass matrices

We propose a model for the quark masses and mixings based on an A₄ family symmetry. Three scalar SU(2) doublets form a triplet of A₄. The three left-handed-quark SU(2) doublets are also united in a triplet of A₄. The right-handed quarks are singlets of A₄. The A₄-symmetric scalar potential leads to a vacuum in which two of the three scalar SU(2) doublets have expectation values with equal moduli. Our model makes an excellent fit of the observed |V_ub/V_cb|. CP symmetry is respected in the charged gauge interactions of the quarks.