The triiodide ion is an example of a system where symmetry-breaking may be induced by a solvent. The Landau free energy is expected to have a similar form to that for the mean field Ising model, but with solvent strength rather than temperature as the control parameter determining whether there is symmetry breaking. In order to examine the possibility of critical phenomena we have studied the p...

The internal spin structure of the Λ is of special importance for the understanding of the spin structure of hadrons in general. The comparison between the nucleon and Λ allows for a test of the relevant flavour-symmetry breaking effects. Using nonperturbatively O(a) improved Wilson fermions in the quenched approximation we have calculated the first moments of the unpo-larised, longitudinally p...

We show that the Drinfel’d double associated to the standard quantum deformation slη(2,R) is isomorphic to the (2+1)-dimensional AdS algebra with the initial deformation parameter η related to the cosmological constant Λ = −η. This gives rise to a generalisation of a non-commutative Minkowski spacetime that arises as a consequence of the quantum double symmetry of (2+1) gravity to non-vanishing...

The role of the isoscalar hyperon Λ in probing the density dependence of the nuclear symmetry energy is studied in multi-Λ hypernuclei, hyperon-rich matter and neutron stars in relativistic models. Relationships between the properties of three types of objects and the neutron thickness in Pb are established with respect to the isoscalar-isovector coupling that modifies the density dependence of...

We show that the Standard Model Lagrangian, including small neutrino masses, has an anomaly-free discrete Z6 symmetry. Anomaly cancellation requires the number of family to be 3 mod 6. This symmetry can ensure the stability of the nucleon even when the threshold of new physics Λ is low as 10 GeV. All ∆B = 1 and ∆B = 2 (B is the baryon number) effective operators are forbidden by the Z6 symmetry...

A variationally optimized perturbation, combined with renormalization group properties, can give approximations to certain nonperturbative quantities like the chiral symmetry breaking order parameters. We evaluate, up to third order in this modified perturbation, F π /Λ MS , where F π is the pion decay constant and Λ MS the basic QCD scale in the MS scheme. We obtain Λ

We show that the symmetry classes of torsion-free covariant derivatives ∇T of r-times covariant tensor fields T can be characterized by LittlewoodRichardson products σ[1] where σ is a representation of the symmetric group Sr which is connected with the symmetry class of T . If σ ∼ [λ] is irreducible then σ[1] has a multiplicity free reduction [λ][1] ∼ ∑ λ⊂μ[μ] and all primitive idempotents belo...

We give a construction of a self-similar tiling of the plane with any prescribed expansion coefficient λ ∈ C (satisfying the necessary algebraic condition of being a complex Perron number). For any integer m > 1 we show that there exists a self-similar tiling with 2π/m-rotational symmetry group and expansion λ if and only if either λ or λe is a complex Perron number for which e is in Q[λ], resp...

A few years ago some attention has been given to a fermionic action on the lattice, with a Wilson-like term which is chirally invariant but breaks the hypercubic space-time lattice symmetry. This action describes two Dirac fields in the continuum limit, provided the coefficient λ of the Wilson-like term satisfies λ > 1 2 . In this letter it is shown that for 1 2 < λ ≤ 1 the theory is link-refle...