We investigate the influence of an external magnetic field on chiral symmetry breaking in a four-fermion interaction model at finite temperature and chemical potential. Using the Fock-Schwinger proper time method, we calculate the effective potential for the four-fermion interaction model to leading order in the 1/Nc expansion. The phase structure of the chiral symmetry breaking is determined i...

We investigate a novel symmetry in dualities of Wu’s equation: wg(1+w)1−g = eβ( −μ) for a degenerate g-on gas with fractional exclusion statistics of g, where β = 1/kBT , the energy, and μ the chemical potential of the system. We find that the particle–hole duality between g and 1/g and the supersymmetric duality between g and 1 − g form a novel quasi-modular group of order six for Wu’s equatio...

We discuss the collider phenomenology of TeV Z ′ gauge bosons related to the absence of a bare μ-term in the superpotential. Decays of the type Z ′ → Higgsinos can directly test whether a gauge symmetry is responsible for forbidding the Higgsino mass. Decays to multi-lepton final states may allow these signatures to be observed at the Large Hadron Collider. We comment on whether it will be poss...

A natural origin for the μ and μB parameters of weak scale supersymmetric theories is proposed, applicable to any supersymmetry breaking messenger scale between the weak and Planck scales. Although quite general, it requires supersymmetric interactions to respect an R symmetry with definite quantum numbers, and it requires some new scale of symmetry breaking. The required R symmetry distinguish...

In the title compound, catena-poly[diselanylbis(1,3-dimethyl-1H-imidazol-3-ium) [μ(3)-chlorido-tetra-μ(2)-chlorido-tricuprate(I)]], {(C(10)H(16)N(4)Se(2))[Cu(3)Cl(5)]}(n), the diselenide dication is stabilized by catena-[Cu(3)Cl(5)](2-) anions which associate through strong Cu-Cl bonds [average length = 2.3525 (13) Å] to form polymeric chains. The polymeric [Cu(3)Cl(5)](2-) anion contains cryst...

The present neutrino oscillation data allow $m^{}_1 = 0$ (or $m^{}_3 0$) for the mass spectrum and support $\theta^{}_{23} \simeq \pi/4$ $\delta -\pi/2$ as two good approximations PMNS lepton flavor mixing matrix $U$. We show that these intriguing possibilities can be a very natural consequence of {\it translational} $\mu$-$\tau$ reflection symmetry -- effective Majorana term keeps invariant un...

In the standard model (SM) the condition that the Higgs mass parameter vanishes is stable under radiative corrections and yields a theory that can be renormalized using dimensional regularization. Thus, this model allows to predict the Higgs boson mass. However, it is phenomenologically ruled out in its minimal version. Here, we present a phenomenologically viable, minimal extension which only ...

Successful models of pure gravity mediation (PGM) with radiative electroweak symmetry breaking can be expressed with as few as two free parameters, which can be taken as the gravitinomass and tan β. These models easily support a 125–126GeVHiggsmass at the expense of a scalar spectrum in the multi-TeV range and a much lighter wino as the lightest supersymmetric particle. In these models, it is a...

Goldman and Turaev constructed a Lie bialgebra structure on the free Z-module generated by free homotopy classes of loops on a surface. Turaev conjectured that his cobracket ∆(α) is zero if and only if α is a power of a simple class. Chas constructed examples that show Turaev’s conjecture is, unfortunately, false. We define an operation μ in the spirit of the Andersen–Mattes–Reshetikhin algebra...