Explicit two-loop calculation of decoupling in unbroken gauge theories with fermions

Unbroken gauge theories containing light as well as heavy fermions are considered in the limit of the mass of the heavy fermions tending to infinity. The effective coupling constant of the decoupled low-energy theory thus obtained, has been calculated up to two-loop level using the light particle irreducible vertex function and the background field formalism. In addition, to simplify the computation, a background field gauge-fixing term has been used, because in such a gauge the effective coupling constant can be calculated from a two-point function only. Our analysis reveals that in the non-abelian theory, the simple algorithm proposed by Ovrut and Schnitzer for computing the effective coupling constant up to the two-loop level is valid only in the α = 0 or α = ?3 background field gauge. A general procedure correct for all values of α is described.     

Detection of arsenic, antimony and tin in forensic toxicology by paper chromatography

Summary A paper chromatographic technique for the detection of arsenic, antimony and tin as applied to toxicological analysis has been described.     

On duality in linear fractional functionals programming

Summary The paper formulates a dual program for a given linear fractional functionals program (L.F.F.P.) and proves the duality theorem and its converse for the same. Special feature of the paper is that both the primal and the dual programs are L. F. F. Ps. and can easily be solved by the existing standard techniques.

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Zusammenfassung Für ein lineares Optimierungsproblem, dessen Zielfunktion als Quotient zweier linearer Funktionen gegeben ist (LP-Problem mit gebrochener Zielfunktion), wird ein duales Problem formuliert und das Dualitätstheorem bewiesen. Es wird gezeigt, daß sowohl das primale als auch das duale Problem lineare Probleme mit gebrochener Zielfunktion sind und leicht mit den bekannten Standardtechniken gelöst werden können.

     

An unusual cleavage of a side chain during catalytic hydrogenation of some octalones

Novel hydrogenolysis of a CC bond linking a benzyl side chain in some octalones is described.     

Warm electron coefficient in polar semiconductors in the presence of strong electron-electron collisions

An iterative calculation of the warm electron coefficient is presented considering polar mode scattering in a parabolic band. Electron-electron collisions are assumed strong enough to establish a Maxwellian distribution function. The results vary considerably from those of the displaced Maxwellian calculation which has been used earlier for the interpretation of experimental results.     

High pressure X-ray diffraction study on p-FeS2, m-FeS2 and MnS2 to 340 kbar: A possible high spin-low spin transition in MnS2

Pyrite p-FeS₂, marcasite m-FeS₂ and MnS₂2 have been investigated using the high-pressure X-ray diffraction technique to 340 kbar. MnS2 undergoes a pressure-induced phase transition at about 140 kbar from the pyrite to the marcasite type phase with a volume contraction of about 15%. The high-pressure marcasite type m-MnS₂ is found to belong to the B type of marcasite with an axial ratio $\text{c}\text{a}\text{= 0.76}$ and $\text{c}\text{b}\text{= 0.62.}$ p-FeS₂ and m-FeS₂ do not undergo any phase transition in the pressure range investigated. The high spin p-MnS₂ has been found to be much more compressible (B_o = 760 kbar, B′_o = 5.4) than the low spin p-FeS₂ (B_o = 2154 kbar, B′_o = 5.5) and m-FeS₂ (B₀ = 1465 kbar, B′_o = 4.9) while the high-pressure m-MnS₂ has comparable compressibility (B_o = 2138 kbar, B′₀ = 5.0) with those of low spin p-FeS₂ and m-FeS₂. The p-MnS₂-m-MnS₂ phase transition might be accompanied by a high spin-low spin transition of Mn²⁺.     

Temperature and pressure dependence of the crystal structure of InTe: A new high pressure phase of InTe

InTe has been investigated using high pressure x-ray diffraction technique to 340 kbar InTe undergoes a pressure induced phase transition from the tetragonal TISe-type (B37) to the NaCl-type (B1) phase We have discovered a further pressure induced phase transition from the NaCl-type to the CsCl type (B2) phase at about 150 kbar The crystal structure of the tetragonal TISe-type InTe has been reinvestigated with x-ray diffractometer data Temperature variation of the lattice constants of the tetragonal InTe has been obtained in the range 297 to 505 K.