5,012 research outputs found

    Higher spin vortical zilches from Kubo formulae

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    We compute thermal one-point functions in Maxwell's theory sourced by vorticity for the zilch and its higher spin extensions via the Kubo formalism. This leads to a generalization of the recent results of [M. N. Chernodub, A. Cortijo, and K. Landsteiner, Phys. Rev. D 98, 065016 (2018)PRVDAQ2470-001010.1103/PhysRevD.98.065016] to any spin, and their value suggests a relation with possible anomalies for the higher spin tower of currents.This work is supported by FPA2015-65480-P (MINECO/FEDER,UE) and by the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severo Ochoa SEV-2016-0597. The work of J. F.-P. is supported by fellowship SEV-2012-0249-03. The work of C. C. is funded by Fundación La Caixa under “La Caixa- Severo Ochoa” international predoctoral gran

    Fast and oblivious convolution quadrature

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    We give an algorithm to compute NN steps of a convolution quadrature approximation to a continuous temporal convolution using only O(NlogN)O(N \log N) multiplications and O(logN)O(\log N) active memory. The method does not require evaluations of the convolution kernel, but instead O(logN)O(\log N) evaluations of its Laplace transform, which is assumed sectorial. The algorithm can be used for the stable numerical solution with quasi-optimal complexity of linear and nonlinear integral and integro-differential equations of convolution type. In a numerical example we apply it to solve a subdiffusion equation with transparent boundary conditions

    Axial Hall effect and universality of holographic Weyl semi-metals

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    The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate how this phase transition depends on the parameters of the scalar potential (mass and quartic self coupling) finding that the quantum phase transition persists for a large region in parameter space. We then compute the axial Hall conductivity. The algebraic structure of the axial anomaly predicts it to be 1/3 of the electric Hall conductivity. We find that this holds once a non-trivial renormalization effect on the external axial gauge fields is taken into account. Finally we show that the phase transition also occurs in a top-down model based on a consistent truncation of type IIB supergravity.Comment: 27 pages, 9 figures, v2: references added, some typos fixed; v3 minor change

    Taking Mermin's Relational Interpretation of QM Beyond Cabello's and Seevinck's No-Go Theorems

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    In this paper we address a deeply interesting debate that took place at the end of the last millennia between David Mermin, Adan Cabello and Michiel Seevinck, regarding the meaning of relationalism within quantum theory. In a series of papers, Mermin proposed an interpretation in which quantum correlations were considered as elements of physical reality. Unfortunately, the very young relational proposal by Mermin was too soon tackled by specially suited no-go theorems designed by Cabello and Seevinck. In this work we attempt to reconsider Mermin's program from the viewpoint of the Logos Categorical Approach to QM. Following Mermin's original proposal, we will provide a redefinition of quantum relation which not only can be understood as a preexistent element of physical reality but is also capable to escape Cabello's and Seevinck's no-go-theorems. In order to show explicitly that our notion of ontological quantum relation is safe from no-go theorems we will derive a non-contextuality theorem. We end the paper with a discussion regarding the physical meaning of quantum relationalism.Comment: 19 pages, 1 phot

    Program Evaluation and Causal Inference with High-Dimensional Data

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    In this paper, we provide efficient estimators and honest confidence bands for a variety of treatment effects including local average (LATE) and local quantile treatment effects (LQTE) in data-rich environments. We can handle very many control variables, endogenous receipt of treatment, heterogeneous treatment effects, and function-valued outcomes. Our framework covers the special case of exogenous receipt of treatment, either conditional on controls or unconditionally as in randomized control trials. In the latter case, our approach produces efficient estimators and honest bands for (functional) average treatment effects (ATE) and quantile treatment effects (QTE). To make informative inference possible, we assume that key reduced form predictive relationships are approximately sparse. This assumption allows the use of regularization and selection methods to estimate those relations, and we provide methods for post-regularization and post-selection inference that are uniformly valid (honest) across a wide-range of models. We show that a key ingredient enabling honest inference is the use of orthogonal or doubly robust moment conditions in estimating certain reduced form functional parameters. We illustrate the use of the proposed methods with an application to estimating the effect of 401(k) eligibility and participation on accumulated assets.Comment: 118 pages, 3 tables, 11 figures, includes supplementary appendix. This version corrects some typos in Example 2 of the published versio

    Supplement to “program evaluation and causal inference with high-dimensional data"

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    Supplemental appendices to: A Belloni, V Chernozhukov, I Fernández-Val, C Hansen. 2017. "Program evaluation and causal inference with high-dimensional data." Econometrica, Volume 85, Issue 1, pp. 233-298. https://doi.org/10.3982/ECTA12723https://arxiv.org/abs/1311.2645Supporting documentatio

    The Bargaining Region (Project report: Regionalization and Multi-Level Governance)

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    Forskningsrapporten är en studie av den förhandlande subnationella regionen med Skåne som empirisk fallstudie. Den utforskar betydelsen av förhandlingsmakt i regionaliseringsprocessen genom att göra tre antaganden: 1) Förhandlingar utgör ett centralt inslag i västeuropeisk regionalisering. 2) Förhållandet mellan stat och region kan beskrivas som ett asymmetriskt beroende, liknande det mellan starka och svaga stater. 3) Regionens användning av förhandlingsmakt och strategi gentemot regeringen utövas på ett sätt som överensstämmer med svaga staters agerande gentemot starka. Den framgångsrika regionens förhandlingsmakt utgår i första hand från dess överväldigande beslutsamhet, manifesterad som en stor beredvillighet att investera mängder av tid och energi för att nå vissa eftersträvade resultat. Den viktigaste förutsättningen för denna beslutsamhet är en stark inre enighet. Vidare har regionen i kraft av initiativtagare till regionaliseringsprocessen ett övertag när det gäller att påverka förhandlingarnas dagordning och innehåll. Genom att undvika förhandlingssituationer som styrs av den materiella resursfördelningen och istället fokusera på viktiga immateriella aspekter, såsom legitimitet och effektivitet, kan regionen få ett ämnesspecifikt förhandlingsövertag som är av stor betydelse för det slutliga förhandlingsresultatet

    Quantitative Intensity Harmonization of Dopamine Transporter SPECT Images Using Gamma Mixture Models

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    PURPOSE: Differences in site, device, and/or settings may cause large variations in the intensity profile of dopamine transporter (DAT) single-photon emission computed tomography (SPECT) images. However, the current standard to evaluate these images, the striatal binding ratio (SBR), does not efficiently account for this heterogeneity and the assessment can be unequivalent across distinct acquisition pipelines. In this work, we present a voxel-based automated approach to intensity normalize such type of data that improves on cross-session interpretation. PROCEDURES: The normalization method consists of a reparametrization of the voxel values based on the cumulative density function (CDF) of a Gamma distribution modeling the specific region intensity. The harmonization ability was tested in 1342 SPECT images from the PPMI repository, acquired with 7 distinct gamma camera models and at 24 different sites. We compared the striatal quantification across distinct cameras for raw intensities, SBR values, and after applying the Gamma CDF (GDCF) harmonization. As a proof-of-concept, we evaluated the impact of GCDF normalization in a classification task between controls and Parkinson disease patients. RESULTS: Raw striatal intensities and SBR values presented significant differences across distinct camera models. We demonstrate that GCDF normalization efficiently alleviated these differences in striatal quantification and with values constrained to a fixed interval [0, 1]. Also, our method allowed a fully automated image assessment that provided maximal classification ability, given by an area under the curve (AUC) of AUC = 0.94 when used mean regional variables and AUC = 0.98 when used voxel-based variables. CONCLUSION: The GCDF normalization method is useful to standardize the intensity of DAT SPECT images in an automated fashion and enables the development of unbiased algorithms using multicenter datasets. This method may constitute a key pre-processing step in the analysis of this type of images.Instituto de Salud Carlos III FI14/00497 MV15/00034Fondo Europeo de Desarrollo Regional FI14/00497 MV15/00034ISCIII-FEDER PI16/01575Wellcome Trust UK Strategic Award 098369/Z/12/ZNetherland Organization for Scientific Research NWO-Vidi 864-12-00

    Determinants for cultural and sports attendance and practice in the U.S.A.

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    Master in Economics: Empirical Applications and Policies. Academic Year: 2019-2020Cultural and sport events are two of the most common leisure activities nowadays. However, leisure time is limited and there may not be sufficient time to enjoy all activities desired. This research studies the effect of different determinants on people when trying to pick the right activity for them thanks to the information retrieved from the SPPA in the US. This is done following a bivariate probit model, focusing on the marginal effects. Results show us that due to the high estimated tetrachoric correlation values, both activities are going to be complimentary. Apart from that, determinants such as income, age, gender, race and even disabilities have a strong effect when deciding the activity. Individual’s education has the strongest effect of them all, making higher educated people the most likely people to choose sport or cultural. This is robust to considering only highbrow or also lowbrow cultural practices. The complementarity also exists between cultural events and practices and between attendance at sports events and practice of sports
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