The electroweak model with one Higgs doublet is investigated when the mass of the Higgs particle is larger than the weak-interaction scale. It is shown that the SU(2) Higgs sector with spontaneously broken 0(4) symmetry and perturbative gauge coupling becomes a trivial field theory at infinite cutoff. Around the trivial Gaussian fixed point, for finite cutoff, a low-energy effective theory is found with nontrivial couplings and mass generation from spontaneous symmetry breaking. We find an upper bound of MH « 640 GeV on the mass of the Higgs particle with a lattice momentum cutoff 2K times larger than the Higgs-boson mass.
Initially spherulitic nylon 6 was textured into a quasi-single crystal form by plane-strain compression at 170 "C in a deep channel-die to a compression ratio of 4.0, followed by cooling under pressure to room temperature. The resulting material, having orthotropic symmetry with quasi-single crystalline perfection, had a dual morphology in which the normals of the crystallographic (100) planes equipartition at f21° with respect to the constraint direction of the plane-strain deformation. This highly textured material, having relatively large dimensions in all directions, was wed to study the elastic and plastic anisotropy of the actual constituent lamellar crystallites. As a result, a complete set of nine elastic compliances of the orthotropic sample were measured by a simple direct technique and were related to the monoclinic crystal properties. In addition, detailed measurements were made of the plastic anisotropy of this textured material to establish that plastic response of the actual monoclinic nylon 6 crystallites is derived principally from three crystallographic slip processes consisting of the (001) [OlO] and (100)[0103 chain slip systems and the (001)-[ 1001 transverse slip system. The plastic shear resistances of all these slip systems were found to increase substantially with increasing compressive stress acting across the slip planes. Among these three deformation mechanisms, (001)[0101 chain slip is the easiest system to be activated.
We propose a Monte Carlo algorithm to promote Kennedy and Kuti's linear accept/reject algorithm which accommodates unbiased stochastic estimates of the probability to an exact one. This is achieved by adopting the Metropolis accept/reject steps for both the dynamical and noise configurations. We test it on the five state model and obtain desirable results even for the case with large noise. We also discuss its application to lattice QCD with stochastically estimated fermion determinants.
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