902 research outputs found

    The C_2 heat-kernel coefficient in the presence of boundary discontinuities

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    We consider the heat-kernel on a manifold whose boundary is piecewise smooth. The set of independent geometrical quantities required to construct an expression for the contribution of the boundary discontinuities to the C_{2} heat-kernel coefficient is derived in the case of a scalar field with Dirichlet and Robin boundary conditions. The coefficient is then determined using conformal symmetry and evaluation on some specific manifolds. For the Robin case a perturbation technique is also developed and employed. The contributions to the smeared heat-kernel coefficient and cocycle function are calculated. Some incomplete results for spinor fields with mixed conditions are also presented.Comment: 25 pages, LaTe

    Plasticity in Unimodal and Multimodal Brain Areas Reflects Multisensory Changes in Self-Face Identification

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    Nothing provides as strong a sense of self as seeing one's face. Nevertheless, it remains unknown how the brain processes the sense of self during the multisensory experience of looking at one's face in a mirror. Synchronized visuo-tactile stimulation on one's own and another's face, an experience that is akin to looking in the mirror but seeing another's face, causes the illusory experience of ownership over the other person's face and changes in self-recognition. Here, we investigate the neural correlates of this enfacement illusion using fMRI. We examine activity in the human brain as participants experience tactile stimulation delivered to their face, while observing either temporally synchronous or asynchronous tactile stimulation delivered to another's face on either a specularly congruent or incongruent location. Activity in the multisensory right temporo-parietal junction, intraparietal sulcus, and the unimodal inferior occipital gyrus showed an interaction between the synchronicity and the congruency of the stimulation and varied with the self-reported strength of the illusory experience, which was recorded after each stimulation block. Our results highlight the important interplay between unimodal and multimodal information processing for self-face recognition, and elucidate the neurobiological basis for the plasticity required for identifying with our continuously changing visual appearanc

    M2K: I. A Jovian mass planet around the M3V star HIP79431

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    Doppler observations from Keck Observatory reveal the presence of a planet with Msini of 2.1 Mjup orbiting the M3V star HIP79431. This is the sixth giant planet to be detected in Doppler surveys of M dwarfs and it is one of the most massive planets discovered around an M dwarf star. The planet has an orbital period of 111.7 days and an orbital eccentricity of 0.29. The host star is metal rich, with an estimated [Fe/H] = +0.4. This is the first planet to emerge from our new survey of 1600 M-to-K dwarf stars.Comment: 5 figure

    Hyperspherical entanglement entropy

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    The coefficient of the log term in the entanglement entropy associated with hyperspherical surfaces in flat space-time is shown to equal the conformal anomaly by conformally transforming Euclideanised space--time to a sphere and using already existing formulae for the relevant heat--kernel coefficients after cyclic factoring. The analytical reason for the result is that the conformal anomaly on the lune has an extremum at the ordinary sphere limit. A proof is given. Agreement with a recent evaluation of the coefficient is found.Comment: 7 pages. Final revision. Historical comments amended. Minor remarks adde

    Whightman function and scalar Casimir densities for a wedge with a cylindrical boundary

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    Whightman function, vacuum expectation values of the field square, and the energy-momentum tensor are investigated for a scalar field inside a wedge with and without a coaxial cylindrical boundary. Dirichlet boundary conditions are assumed on the bounding surfaces. The vacuum energy-momentum tensor is evaluated in the general case of the curvature coupling parameter. Making use of a variant of the generalized Abel-Plana formula, expectation values are presented as the sum of two terms. The first one corresponds to the geometry without a cylindrical boundary and the second one is induced by the presence of this boundary. The asymptotic behaviour of the field square, vacuum energy density and stresses near the boundaries are investigated. The additional vacuum forces acting on the wedge sides due the presence of the cylindrical boundary are evaluated and it is shown that these forces are attractive. As a limiting case, the geometry of two parallel plates perpendicularly intersected by a third one is analyzed.Comment: 19 pages, 6 figures, new section is added on the VEVs for the region outside the cylidrical shell, discussion and references added, accepted for publication in J. Phys.

    Development of a training program to support health care professionals to deliver the SPACE for COPD self-management program

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    Open access journalBackground: With the growing burden of COPD and associated morbidity and mortality, a need for self-management has been identified. The Self-management Programme of Activity, Coping and Education for Chronic Obstructive Pulmonary Disease (SPACE for COPD) manual was developed to support self-management in COPD patients. Currently, there is no literature available regarding health care professionals’ training needs when supporting patients with COPD on self-management. Aim: This study sought to identify these needs to inform, design and develop a training program for health care professionals being trained to deliver a self-management program in COPD. Methods: Fourteen health care professionals from both primary and secondary care COPD services participated in face-to-face semistructured interviews. Thematic analysis was used to produce a framework and identify training needs and views on delivery of the SPACE for COPD self-management program. Components of training were web-based knowledge training, with pre- and posttraining knowledge questionnaires, and a 1-day program to introduce the self-management manual. Feedback was given after training to guide the development of the training program. Results: Health care professionals were able to identify areas where they required increased knowledge to support patients. This was overwhelming in aspects of COPD seen to be outside of their current clinical role. Skills in goal setting and behavioral change were not elicited as a training need, suggesting a lack of understanding of components of supporting self-management. An increase in knowledge of COPD was demonstrated following the training program. Conclusion: Both knowledge and skill gaps existed in those who would deliver self-management. Analysis of this has enabled a training program to be designed to address these gaps and enable health care professionals to support patients in self-management. Keywords: self-management, COPD, health care professionals, trainin

    Heat Kernel Expansion for Semitransparent Boundaries

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    We study the heat kernel for an operator of Laplace type with a δ\delta-function potential concentrated on a closed surface. We derive the general form of the small tt asymptotics and calculate explicitly several first heat kernel coefficients.Comment: 16 page
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