8,210 research outputs found

    On amplitude zeros at threshold

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    The occurrence of zeros of 2 to n amplitudes at threshold in scalar theories is studied. We find a differential equation for the scalar potential, which incorporates all known cases where the 2 to n amplitudes at threshold vanish for all sufficiently large nn, in all space-time dimensions, d≄1d\ge 1. This equation is related to the reflectionless potentials of Quantum Mechanics and to integrable theories in 1+1 dimensions. As an application, we find that the sine-Gordon potential and its hyperbolic version, the sinh-Gordon potential, also have amplitude zeros at threshold, A(2→n)=0{\cal A}(2\to n)=0, for n≄4n\ge 4 and d≄2d\ge 2, independently of the mass and the coupling constant.Comment: 6 pages, Latex, CERN-TH.6762/9

    Multiscalar production amplitudes beyond threshold

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    We present exact tree-order amplitudes for H∗→n HH^* \to n~H, for final states containing one or two particles with non-zero three-momentum, for various interaction potentials. We show that there are potentials leading to tree amplitudes that satisfy unitarity, not only at threshold but also in the above kinematical configurations and probably beyond. As a by-product, we also calculate 2→n2\to n tree amplitudes at threshold and show that for the unbroken ϕ4\phi^4 theory they vanish for n>4 n>4~, for the Standard Model Higgs they vanish for n≄3 n\ge 3~ and for a model potential, respecting tree-order unitarity, for nn even and n>4 n>4~. Finally, we calculate the imaginary part of the one-loop 1→n1\to n amplitude in both symmetric and spontaneously broken ϕ4\phi^4 theory.Comment: 11 pages, Latex, 3 figures (available on request

    A qualitative exploration of care homes workers' views and training needs in relation to the use of socially assistive humanoid robots in their workplace

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    Aim: The study aimed to explore the views and attitudes of care home workers about the socially assistive robot that was trialled in their workplace, in order to identify training needs in relation to the hypothetical future use of these robots in their workplace. Background: Care home workers face challenging workload conditions which may require the exploration of new solutions such as the use of socially assistive robots (SARs). Methods: This is a qualitative descriptive study which used semi-structured interviews. Care home workers (n = 23) in the UK participated in the study, and data collection took place between October 2019 and January 2020. NVivo software was used for data management, and a thematic inductive analysis was conducted. Results: Findings indicated that many participants were open to the use of robots and valued the potential usefulness of SARs in the care setting. However, some participants showed resistance to the use of robots and did not feel comfortable with the idea of working alongside them. Participants wished to receive technical training that would enable them to be competent in using SARs. Participants took seriously their duty of care to the older people and thus wanted to ensure that the use of the SAR would not negatively impact on the care being provided. Robots were viewed as having potential to be supplementary to human carers, such as sharing the workload and improving upon the care already being provided. Conclusions: Care home workers express both positive and negative views in relation to the hypothetical future deployment of socially assistive humanoid robots in their workplace. Implications for practice: The findings highlighted the importance of values around person-centred care which should be taken into account when planning for the implementation of robots in social care settings and training care home workers in how to work with robots

    Recursive actions for scalar theories

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    We introduce a class of self-interacting scalar theories in which the various coupling contants obey a recursive relation. These imply a particularly simple form for the generating function of the Feynman amplitudes with vanishing external momenta, as well as for the effective potential. In addition we discuss an interesting duality inherent in these models. Specializing to the case of zero spacetime dimensions we find intriguing nullification properties for the amplitudes.Comment: 28 pages, 2 figures Replaced contract numbe

    Designing an Experimental and a Reference Robot to Test and Evaluate the Impact of Cultural Competence in Socially Assistive Robotics

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    The article focusses on the work performed in preparation for an experimental trial aimed at evaluating the impact of a culturally competent robot for care home assistance. Indeed, it has been estabilished that the user's cultural identity plays an important role during the interaction with a robotic system and cultural competence may be one of the key elements for increasing capabilities of socially assistive robots. Specifically, the paper describes part of the work carried out for the definition and implementation of two different robotic systems for the care of older adults: a culturally competent robot, that shows its awareness of the user's cultural identity, and a reference robot, non culturally competent, but with the same functionalities of the former. The design of both robots is here described in detail, together with the key elements that make a socially assistive robot culturally competent, which should be absent in the non-culturally competent counterpart. Examples of the experimental phase of the CARESSES project, with a fictional user are reported, giving a hint of the validness of the proposed approach

    Zero-dimensional field theory

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    A study of zero-dimensional theories, based on exact results, is presented. First, relying on a simple diagrammatic representation of the theory, equations involving the generating function of all connected Green's functions are constructed. Second, exact solutions of these equations are obtained for several theories. Finally, renormalization is carried out. Based on the anticipated knowledge of the exact solutionsthe full dependence on the renormalized coupling constant is studied.Comment: 38 pages, LaTe

    (1,0) superconformal theories in six dimensions and Killing spinor equations

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    We solve the Killing spinor equations of 6-dimensional (1,0) superconformal theories in all cases. In particular, we derive the conditions on the fields imposed by the Killing spinor equations and demonstrate that these depend on the isotropy group of the Killing spinors. We focus on the models proposed by Samtleben et al in \cite{ssw} and find that there are solutions preserving 1,2, 4 and 8 supersymmetries. We also explore the solutions which preserve 4 supersymmetries and find that many models admit string and 3-brane solitons as expected from the M-brane intersection rules. The string solitons are smooth regulated by the moduli of instanton configurations.Comment: 26 page
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