Field theory spin and momentum in water waves.

Sci Adv

Research School of Physics, The Australian National University, Canberra, ACT 2601, Australia.

Published: January 2022

AI Article Synopsis

  • Spin is an intrinsic property of quantum particles and fields that is linked to angular momentum in relativistic field theory.
  • The Belinfante-Rosenfeld construction helps describe spin density in wave fields, highlighting a connection between canonical and kinetic momentum that is often considered abstract.
  • This study shows that the Belinfante-Rosenfeld framework can also be applied to gravity (water surface) waves, revealing observable mechanical properties related to spin and momentum in classical wave systems.

Article Abstract

Spin is a fundamental yet nontrivial intrinsic angular momentum property of quantum particles or fields, which appears within relativistic field theory. The spin density in wave fields is described by the theoretical Belinfante-Rosenfeld construction based on the difference between the canonical and kinetic momentum densities. These quantities are usually considered as abstract and non-observable per se. Here, we demonstrate, both theoretically and experimentally, that the Belinfante-Rosenfeld construction naturally arises in gravity (water surface) waves. There, the canonical momentum is associated with the generalized Stokes drift phenomenon, while the spin is generated by subwavelength circular motion of water particles. Thus, we directly observe these fundamental field theory properties as microscopic mechanical properties of a classical wave system. Our findings shed light onto the nature of spin and momentum in wave fields, demonstrate the universality of relativistic field theory concepts, and offer a new platform for their studies.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8782445PMC
http://dx.doi.org/10.1126/sciadv.abm1295DOI Listing

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