1,529 research outputs found

    Defect multiplets of N=1 supersymmetry in 4d

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    Any 4d theory possessing N=1\mathcal{N}=1 supersymmetry admits a so called S\mathcal{S}-multiplet, containing the conserved energy-momentum tensor and supercurrent. When a defect is introduced into such a theory, the S\mathcal{S}-multiplet receives contributions localised on the defect, which indicate the breaking of some translation symmetry and consequently also some supersymmetries. We call this the defect multiplet. We classify such terms corresponding to half-BPS defects which can be either three-dimensional, preserving 3d N=1\mathcal{N}=1, or two-dimensional, preserving N=(0,2)\mathcal{N}=(0,2). The new terms localised on the defect furnish multiplets of the reduced symmetry and give rise to the displacement operator

    Urban development in the Red Sea area, the case of Eilat and Aqaba

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    This work is a comparative study of the evolution of Eilat and Aqaba over the last four decades in relation to the national and international spatial political organisation of Israel and Jordan. Such a comparison of towns in Israel and Jordan represents a pioneer step in the field of urban studies of the Middle East. This thesis presents a critical empirical study of two small urban centres, located in remote peripheral areas along an international border. Emphasis is given to the relationship between politics and the urban development of Eilat and Aqaba. It is hoped that this work will help to fill the immense gap in studies of small towns in the Middle East. Despite the undoubted differences between the two towns, due to fundamental differences in the political, social and cultural systems of Israel and Jordan, Eilat and Aqaba have throughout their development shown great susceptibility to political factors at a local, national and particularly international level. Aqaba is Jordan's only gateway to the sea. Eilat was for many years Israel's only outlet to the south, and an important base from which the government could consolidate its sovereignty over the Negev. Two wars (1956 and 1967), which were landmarks in the development of Eilat and Aqaba, were fought largely as a result of Israel's aim to keep its southern gateway open to international traffic. Moreover, events which appeared to be unconnected to this area eventually had great impact on Eilat and Aqaba. These included the superpower interest in the area, the Arab-Israeli and inter-Arab conflicts in the Middle East, the Palestinian problem, the civil war in Lebanon, the Iran-Iraq War and the peace agreement between Israel and Egypt. Thus this thesis is concerned with the implications of political processes at local, national and international level in Israel and Jordan for the urban development of Eilat and Aqaba. An important role in the development of these towns is played by the centre of political and economic power in both countries, namely Amman, Jerusalem and Tel Aviv. Many of the decisions regarding the various initiatives in Eilat and Aqaba originated in these centres. This work will describe the relationship between the core and the periphery and will examine the interaction between such decisions and the international political scene. The various political factors which have influenced Eilat and Aqaba illustrate, unfortunately, the threatening nature of the balance of power in the Middle East and beyond. On the other hand, they have also contributed to the creation of a fruitful atmosphere for the development of tolerant relations between Eilat and Aqaba. This work will also describe this aspect of the local realit

    Algebraic renormalization of supersymmetric gauge theories with dimensionful parameters

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    It is usually believed that there are no perturbative anomalies in supersymmetric gauge theories beyond the well-known chiral anomaly. In this paper we revisit this issue, because previously given arguments are incomplete. Specifically, we rule out the existence of soft anomalies, i.e., quantum violations of supersymmetric Ward identities proportional to a mass parameter in a classically supersymmetric theory. We do this by combining a previously proven theorem on the absence of hard anomalies with a spurion analysis, using the methods of Algebraic Renormalization. We work in the on-shell component formalism throughout. In order to deal with the nonlinearity of on-shell supersymmetry transformations, we take the spurions to be dynamical, and show how they nevertheless can be decoupled.Comment: Final version, typoes fixed. Revtex, 48 page

    Application of DWF to heavy-light mesons

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    We consider application of domain wall fermions to quarks with relatively heavy masses, aiming at precision calculations of charmed meson properties. Preliminary results for a few basic quantities are presented.Comment: Lattice2003(heavy), 3 pages, 3 figure

    Charisma: An ill-defined and ill-measured gift

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    We take historical stock of charisma, tracing its origins and how it has been conceptualized in the sociological and organizational sciences literatures. Although charisma has been intensely studied, the concept is still not well understood and much of the research undertaken cannot inform policy. We show that the major obstacles to advancing our understanding of charisma have included issues with its definition, its confusion with transformational leadership, the use of questionnaire measures, and that it has not been studied using correctly-specified causal models. To help spawn a new genre of research in charisma, we use signaling theory to provide a general definition of charisma, and make suggestions about how charisma should be conceptualized, operationalized, and modeled. We also describe trends and patterns in articles we reviewed, using co-citation as well as bibliometric analyses, and discuss the practical implications of our findings

    Chiral Fermions on the Lattice through Gauge Fixing -- Perturbation Theory

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    We study the gauge-fixing approach to the construction of lattice chiral gauge theories in one-loop weak-coupling perturbation theory. We show how infrared properties of the gauge degrees of freedom determine the nature of the continuous phase transition at which we take the continuum limit. The fermion self-energy and the vacuum polarization are calculated, and confirm that, in the abelian case, this approach can be used to put chiral gauge theories on the lattice in four dimensions. We comment on the generalization to the nonabelian case.Comment: 31 pages, 5 figures, two refs. adde

    Preliminary results from a simulation of quenched QCD with overlap fermions on a large lattice

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    We simulate quenched QCD with the overlap Dirac operator. We work with the Wilson gauge action at beta=6 on an 18^3x64 lattice. We calculate quark propagators for a single source point and quark mass ranging from am_q=0.03 to 0.75. We present here preliminary results based on the propagators for 60 gauge field configurations.Comment: Lattice2003(chiral); 9 latex pages (espcrc2.sty), 13 figures. Based on talks given by C.H., L.L. and C.R. at 21st International Symposium on Lattice Field Theory (Lattice 2003), Tsubuka, Japan, 15-19 July 2003. Repitition in references corrected and one reference adde

    The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory

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    We consider a lattice discretization of a covariantly gauge-fixed abelian gauge theory. The gauge fixing is part of the action defining the theory, and we study the phase diagram in detail. As there is no BRST symmetry on the lattice, counterterms are needed, and we construct those explicitly. We show that the proper adjustment of these counterterms drives the theory to a new type of phase transition, at which we recover a continuum theory of (free) photons. We present both numerical and (one-loop) perturbative results, and show that they are in good agreement near this phase transition. Since perturbation theory plays an important role, it is important to choose a discretization of the gauge-fixing action such that lattice perturbation theory is valid. Indeed, we find numerical evidence that lattice actions not satisfying this requirement do not lead to the desired continuum limit. While we do not consider fermions here, we argue that our results, in combination with previous work, provide very strong evidence that this new phase transition can be used to define abelian lattice chiral gauge theories.Comment: 42 pages, 30 figure
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