26 research outputs found

    Neutral weak currents in pion electroproduction on the nucleon

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    Parity violating asymmetry in inclusive scattering of longitudinally polarized electrons by unpolarized protons with π0\pi^0 or π+\pi^+ meson production, is calculated as a function of the momentum transfer squared Q2Q^2 and the total energy WW of the πN\pi N-system. This asymmetry, which is induced by the interference of the one-photon exchange amplitude with the parity-odd part of the Z0Z^0-exchange amplitude, is calculated for the γ(Z)+pN+π\gamma^*(Z^*)+p\to N+\pi processes (γ\gamma^* is a virtual photon and ZZ^* a virtual Z-boson) considering the Δ\Delta-contribution in the ss-channel, the standard Born contributions and vector meson (ρ\rho and ω\omega) exchanges in the tt-channel. Taking into account the known isotopic properties of the hadron electromagnetic and neutral currents, we show that the P-odd term is the sum of two contributions. The main term is model independent and it can be calculated exactly in terms of fundamental constants. It is found to be linear in Q2Q^2. The second term is a relatively small correction which is determined by the isoscalar component of the electromagnetic current. Near threshold and in the Δ\Delta-region, this isoscalar part is much smaller (in absolute value) than the isovector one: its contribution to the asymmetry depend on the polarization state (longitudinal or transverse) of the virtual photon.Comment: 30 pages 9 figure

    A further study of the possible scaling region of lattice chiral fermions

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    In the possible scaling region for an SU(2) lattice chiral fermion advocated in {\it Nucl. Phys.} B486 (1997) 282, no hard spontaneous symmetry breaking occurs and doublers are gauge-invariantly decoupled via mixing with composite three-fermion-states that are formed by local multifermion interactions. However the strong coupling expansion breaks down due to no ``static limit'' for the low-energy limit (pa0pa\sim 0). In both neutral and charged channels, we further analyze relevant truncated Green functions of three-fermion-operators by the strong coupling expansion and analytical continuation of these Green functions in the momentum space. It is shown that in the low-energy limit, these relevant truncated Green functions of three-fermion-states with the ``wrong'' chiralities positively vanish due to the generalized form factors (the wave-function renormalizations) of these composite three-fermion-states vanishing as O((pa)^4) for pa0pa\sim 0. This strongly implies that the composite three-fermion-states with ``wrong'' chirality are ``decoupled'' in this limit and the low-energy spectrum is chiral, as a consequence, chiral gauge symmetries can be exactly preserved.Comment: A few typing-errors, in particular in Eq.50, have been correcte

    Conformal collider physics: Energy and charge correlations

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    We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large distance from the collision. We consider initial states produced by an operator insertion and we study some general properties of the energy correlation functions for conformal field theories. We argue that the small angle singularities of energy correlation functions are controlled by the twist of non-local light-ray operators with a definite spin. We relate the charge two point function to a particular moment of the parton distribution functions appearing in deep inelastic scattering. The one point energy correlation functions are characterized by a few numbers. For N=1{\cal N}=1 superconformal theories the one point function for states created by the R-current or the stress tensor are determined by the two parameters aa and cc characterizing the conformal anomaly. Demanding that the measured energies are positive we get bounds on a/ca/c. We also give a prescription for computing the energy and charge correlation functions in theories that have a gravity dual. The prescription amounts to probing the falling string state as it crosses the AdSAdS horizon with gravitational shock waves. In the leading, two derivative, gravity approximation the energy is uniformly distributed on the sphere at infinity, with no fluctuations. We compute the stringy corrections and we show that they lead to small, non-gaussian, fluctuations in the energy distribution. Corrections to the one point functions or antenna patterns are related to higher derivative corrections in the bulk.Comment: 73 pages, 8 figures; v2: minor changes and added references; v3: more references adde

    Trajectories in the Evolution of Technology: A Multi-Level Study of Competition in Formula 1 Racing.

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    This paper explores the trajectories of three key technologies in Formula 1 racing at the component, firm and system levels of analysis. The purpose is to gain an understanding of the evolutionary forces that contribute to the emergence and survival of dominant designs. Based on archival data and contemporaneous accounts of the period 1967-1982, we develop a series of propositions specifying the evolutionary forces acting on technological trajectories within each level of analysis. The resulting framework leads to a set of predictions about relationships between technological transparency, co-evolution, and the emergence of dominant designs. Specifically, we argue that when the costs and difficulty associated with transferring component knowledge between firms is low (technological transparency is high), technologies tend to co-evolve across firms, leading to the development of complementary technologies and increasing the likelihood of industry dominance. Where transparency is low, however, technologies tend to co-evolve across functions within firms, leading to the development of competing technologies across firms, increasing the likelihood of a technology's dominance within the firm. The data and argument suggest that the forces acting on these two types of technological trajectories are self-reinforcing, so that as momentum builds behind a trajectory, it becomes more likely that its evolutionary path will end in either firm-or system-level dominance

    Evaluation of a Tensile Test for Direct Filling Resins

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/67602/2/10.1177_00220345700490023801.pd
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