In QCD the fermion determinant is complex for chemical potential, μ non-zero, therefore generating an ensemble at μ 6= 0 is impracticable. The fermion number density, J0, measures the excess of quarks relative to anti-quarks and is expected to start to rise from zero at some value, μo. The onset, μo corresponds to the point where the phase of nuclear matter is more energetically favourable than...

The title compounds, strontium perchlorate trihydrate {di-μ-aqua-aquadi-μ-perchlorato-strontium, [Sr(ClO4)2(H2O)3] n }, strontium perchlorate tetra-hydrate {di-μ-aqua-bis-(tri-aqua-diperchloratostrontium), [Sr2(ClO4)4(H2O)8]} and strontium perchlorate nona-hydrate {hepta-aqua-diperchloratostrontium dihydrate, [Sr(ClO4)2(H2O)7]·2H2O}, were crystallized at low temperatures according to the solid-...

This is the beginning of an obstruction theory for deciding whether a map f : S → X is homotopic to a topologically flat embedding, in the presence of fundamental group and in the absence of dual spheres. The first obstruction is Wall’s self-intersection number μ(f) which tells the whole story in higher dimensions. Our second order obstruction τ(f) is defined if μ(f) vanishes and has formally v...

This is the beginning of an obstruction theory for deciding whether a map f : S → X is homotopic to a topologically flat embedding, in the presence of fundamental group and in the absence of dual spheres. The first obstruction is Wall’s self-intersection number μ(f) which tells the whole story in higher dimensions. Our second order obstruction τ(f) is defined if μ(f) vanishes and has formally v...

The title compound, {[Na(H(2)O)(4)](6)[V(10)O(28)]·2H(2)O}(n), crystallized from a H(2)O/THF/CH(3)CN solution (pH ca 6) containing equimolar amounts of NaVO(3) and N-(2-hydroxy-benz-yl)-N-(2-picol-yl)glycine. In the crystal structure, the deca-vanadate [V(10)O(28)](6-) anion ( symmetry) is coordinated, via four terminal oxide ligands of V centres, to two dinuclear [{Na(H(2)O)(3)}(2)(μ-H(2)O)(2)...

Using the combinatorial formula for the transformed Macdonald polynomials of Haglund, Haiman, and Loehr, we investigate the combinatorics of the symmetry relation H̃μ(x; q, t) = H̃μ∗(x; t, q). We provide a purely combinatorial proof of the relation in the case of Hall-Littlewood polynomials (q = 0) when μ is a partition with at most three rows, and for the coefficients of the square-free monomial...

We construct a Z8 model for leptons where all Yukawa couplings are of order unity, but known lepton masses are generated radiatively, order by order. The seed is provided by fourth generation leptons E and N , which receive (Dirac) mass in usual way. Two additional Higgs doublets with nontrivial Z8 charge are introduced to give nearest neighbor Yukawa couplings. Hence, nonstandard Higgs bosons ...

We point out that the μ-problem in theories in which supersymmetry breaking is communicated to the observable sector by gauge interactions is more severe than the one encountered in the conventional gravity-mediated scenarios. The difficulty is that once μ is generated by a one-loop diagram, then usually Bμ is also generated at the same loop order. This leads to the problematic relation Bμ ∼ μΛ...

It is known that a Higgs μ term can be naturally generated through the Kähler potential in orbifold string models in which one of the three compactified complex planes has order two. In this class of models explicit expressions for both the μ parameter and the soft SUSY-breaking parameters can be obtained under the assumption that the goldstino is an arbitrary linear combination of the fermioni...