Simons Collaboration on the Nonperturbative Bootstrap Annual Meeting 2020

Date & Time

  • Abstracts and Slidesplus--large

    Leonardo Rastelli
    YITP, Stony Brook
    Director’s Overview

    I will start with an overview of the structure of the Collaboration and of our research activities and main areas of progress in the past year. I will then focus on some more specific developments in the analytic and holographic bootstrap.

    David Poland
    Yale University
    Progress in the Conformal Bootstrap
    View Slides (PDF)

    I will describe progress that our collaboration has made in the conformal bootstrap. New software tools and algorithms have enabled the study of much larger systems of bootstrap equations, allowing us to expand and refine the map of conformal field theories. In particular, these methods have led to precise numerical solutions of
    the 3d O(N) models, resolving longstanding questions in these theories. Complementary progress has been made in the application of analytical methods such as the Lorentzian Inversion formula, where one sees excellent agreement between numerical and analytical solutions.

    Joao Penedones
    Progress in the S-matrix Bootstrap
    View Slides (PDF)

    I will briefly motivate the bootstrap approach for non-conformal theories and review the (primal) numerical S-matrix bootstrap. Then, I will describe the main developments of the last year:

    i) The formulation of a dual S-matrix bootstrap (in 2D QFT) that leads to rigorous bounds with finite numerical truncation.
    ii) The generalization of the S-matrix bootstrap to include states created by acting with local operators on the vacuum. This involves form factors and spectral densities. In particular, in 2D QFT, it gives access to the central charge of the UV CFT.
    iii) The application of the numerical S-matrix bootstrap to bound Wilson coefficients in Effective Field Theories. I will discuss the recent application to the chiral lagrangian describing the low energy dynamics of massless pions.

  • Public Lectureplus--large

    Consequences of Conformality

    Balt van Rees, Ph.D.
    Professor, École Polytechnique

    Wednesday November 11, 2020
    4:45 – 5:00 PM ET Webinar waiting room opens
    5:00 – 6:15 PM ET Talk + Q&A

    In the phase diagrams of many substances (such as water, helium and magnets), there are ‘critical’ points with remarkable physical properties. Mathematically these points exhibit a high degree of symmetry known as ‘conformal invariance.’ In this lecture, Balt van Rees will discuss how conformal invariance can emerge, why they can be used to make precise and quantitative predictions, and what remains to be done to understand their consequences fully.

  • Simons Collaboration on the Nonperturbative Bootstrap Research Updateplus--large

    The research update PDF may be downloaded here.


November 13, 2020

João Penedones- Progress in the S-matrix Bootstrap

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Leonardo Rastelli- Simons Collaboration on the Nonperturbative Bootstrap 2020 Update

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