Form and index of Ginsparg-Wilson fermions

We clarify the questions rised by a recent example of a lattice Dirac operator found by Chiu. We show that this operator belongs to a class based on the Cayley transformation and that this class on the finite lattice generally does not admit a nonvanishing index, while in the continuum limit, due to operator properties in Hilbert space, this defect is no longer there. Analogous observations are made for the chiral anomaly. We also elaborate on various aspects of the underlying sum rule for the index.Comment: 10 pages; v2: equation corrected, conclusions unchange

Ginsparg-Wilson relation with R=(a \gamma_5 D)^{2k}

The Ginsparg-Wilson relation $D \gamma_5 + \gamma_5 D = 2 a D R \gamma_5 D$ with $R = (a \gamma_5 D)^{2k}$ is discussed. An explicit realization of D is constructed. It is shown that this sequence of topologically-proper lattice Dirac operators tend to a nonlocal operator in the limit $k \to \infty$. This suggests that the locality of a lattice Dirac operator is irrelevant to its index.Comment: 4 pages, 1 EPS figure, talk presented at Lattice'00 (Chiral Fermion

Some remarks on the Ginsparg-Wilson fermion

We note that Fujikawa's proposal of generalization of the Ginsparg-Wilson relation is equivalent to setting $R = (a \gamma_5 D)^{2k}$ in the original Ginsparg-Wilson relation $D \gamma_5 + \gamma_5 D = 2 a D R \gamma_5 D$. An explicit realization of D follows from the Overlap construction. The general properties of D are derived. The chiral properties of these higher-order (k > 0) realizations of Overlap Dirac operator are compared to those of the Neuberger-Dirac operator (k = 0), in terms of the fermion propagator, the axial anomaly and the fermion determinant in a background gauge field. Our present results (up to lattice size 16 x 16) indicate that the chiral properties of the Neuberger-Dirac operator are better than those of higher-order ones.Comment: 20 pages, minor changes in v3, to appear in Nucl. Phys.

The quark-photon vertex and meson electromagnetic form factors

The ladder Bethe-Salpeter solution for the dressed photon-quark vertex is used to study the low-momentum behavior of the pion electromagnetic and the $\gamma^\star \pi^0 \gamma$ transition form factors. With model parameters previously fixed by light meson masses and decay constants, the low-momentum slope of both form factors is in excellent agreement with the data. In comparison, the often-used Ball-Chiu Ansatz for the vertex is found to be deficient; less than half of the obtained $r_\pi^2$ is generated by that Ansatz while the remainder of the charge radius could be attributed to the tail of the $\rho$ resonance.Comment: 4 pages, 2 figures, uses espcrc1.sty, talk presented at PANIC99, Uppsala, Swede

Environmental planning, management and technology in Hong Kong

Proceedings of a seminar held at the University of Hong Kong, May 1987.Published in association with the Hong Kong Institute of Planners and the Hong Kong Institution of Engineers.published_or_final_versionPt.2 Air pollution and radiation in Hong Kong 53Preface Wong, David O.Y. Wong, David O.Y. Hills, Peter Hills, Peter viiTown planning and the environment Pun, K.S. Pun, K.S. 23Mathematical and experimental modelling of some environmental problems Lee, J.H.W. Lee, J.H.W. Jayawardena, A.W. Jayawardena, A.W. Chan, K.T. Chan, K.T. 153Treatment of wastewater from small and medium-sized bleaching and dyeing factories Chiu, H. Chiu, H. Tsang, K.L. Tsang, K.L. Lee, M.L. Lee, M.L. 137Acknowledgements viEnteric bacteria decay in seawater and outfall design Wong, S.H. Wong, S.H. 127Need pig wastes pollute? Hodgkiss, I.J. Hodgkiss, I.J. Griffiths, D.A. Griffiths, D.A. 115Fishermens' children and lead poisoning Yeung, C.Y. Yeung, C.Y. Yu, C.L. Yu, C.L. Fung, K.W. Fung, K.W. Ho, K.S. Ho, K.S. 107Safety disposing of Hong Kong's Hazardous wastes Keen, C.Y. Keen, C.Y. Palmer, W.A. Palmer, W.A. 89Pt.3 Waste disposal and water pollution in Hong Kong 87Research findings on traffic-related air pollution near the entrance of the Hong Kong Cross Harbour Tunnel Chan, L.Y. Chan, L.Y. Chiu, H.M. Chiu, H.M. Palmer, W.A. Palmer, W.A. 67Gamma radiations from soil in Hong Kong Lau, S.Y. Lau, S.Y. Leung, K.C. Leung, K.C. Tang, C.H. Tang, C.H. 75Impact assessment of major air pollution sources in Hong Kong Fung, Y.S. Fung, Y.S. 55The contributors vEnvironmental protection - Hong Kong 1987 Reed, Stuart B. Reed, Stuart B. 3Pt.1 Environmental planning and management 1Law and the control of the Hong Kong environment Downey, M. Downey, M. 35Keynote speech Barnes, G. Barnes, G. i

Educational administration in Hong Kong: personnel and schools

Includes bibliographical references.Parallel series title in Chinese.published_or_final_versionStrategies for implementing innovations: student counselling in secondary schools Joseph L. M. Ho Ho, Joseph, L. M. 75The role of vice-principals in aided secondary schools Shirley S. L. Wong Wong, Shirley, S. L. 39The administration of bisessional prmary schools Chiu Shui Yim Chiu, Shui-yim 27Linking school and home: liaison between teachers and parents in aided secondary schools Chan King Chan, King 89The relationship between suppervisors and principals in aided schools Wong Ting Hon Wong, Ting-hon 11Notes on the contributors 115Introduction Mark Bray Bray, Mark 7Teachers' mobility in a secondary school: a case study Luk, Monica, H. Y. 101Principals' and teachers' view on school-based INSET: implications for school management Edwin K. P. Wong Wong, Edwin, K. P. 5

Displacing and Disrupting: A Dialogue on Hmong Studies and Asian American Studies

This article summarizes a roundtable discussion of scholars that took place at the Association for Asian American Studies Conference in San Francisco, 2014. Hailing from various academic disciplines, the participants explored the relationship between the emerging field of Hmong/Hmong American Studies and Asian American Studies. Questions of interest included: In what ways has Asian American Studies informed Hmong/Hmong American Studies, or failed to do so? In what ways does Hmong/Hmong American Studies enrich/challenge Asian American Studies? What are the tensions between these two fields and other related fields? How do/should the new programs in Hmong/Hmong American Studies relate to the existing Asian American Studies programs regarding curriculum, activism and/or resource allocation