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  • Letter
  • Open Access

Novel approach for computing gradients of physical observables

Simone Bacchio

  • Computation-based Science and Technology Research Center, The Cyprus Institute, Nicosia, Cyprus

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Phys. Rev. D 108, L091508 – Published 30 November, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L091508

Abstract

We show that an infinitesimal step of gradient flow can be used for defining a novel approach for computing gradients of physical observables with respect to action parameters. Compared to the commonly used perturbative expansion, this approach does not require calculating any disconnected contribution or vacuum expectation value and can provide results up to 3 orders of magnitudes more precise. On the other hand, it requires a nontrivial condition to be satisfied by the flow action, the calculation of its force and its Laplacian, and the force of the observable, whose gradient needs to be measured. As a proof of concept, we measure gradients in β of Wilson loops in a four-dimensional SU(3) Yang-Mills theory simulated on a 164 lattice using the Wilson action.

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Phys. Rev. D 108, L091508– Published 30 November, 2023
  • Received 17 May 2023
  • Accepted 15 November 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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