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Paul BaldufThis Thursday, I'm giving a <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a> talk at PI about some recent results on <a href="https://mathstodon.xyz/tags/graph" class="mention hashtag" rel="nofollow noopener" target="_blank">#graph</a> cohomology and topological <a href="https://mathstodon.xyz/tags/QuantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumFieldTheory</a> . For the title page, I took a photo of the local geese in Oxford. I wonder if the geese in Waterloo already have goslings now. The slides will be on my website as always, if anyone is interested.

Paul BaldufIn <a href="https://mathstodon.xyz/tags/QuantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumFieldTheory</a>, scattering amplitudes can be computed as sums of (very many) <a href="https://mathstodon.xyz/tags/FeynmanIntegral" class="mention hashtag" rel="nofollow noopener" target="_blank">#FeynmanIntegral</a> s. They contribute differently much, with most integrals contributing near the average (scaled to 1.0 in the plots), but a "long tail" of integrals that are larger by a significant factor. We looked at patterns in these distributions, and one particularly striking one is that if instead of the Feynman integral P itself, you consider 1 divided by root of P, the distribution is almost Gaussian! To my knowledge, this is the first time anything like this has been observed. We only looked at one quantum field theory, the "phi^4 theory in 4 dimensions". It would be interesting to see if this is coincidence for this particular theory and class of Feynman integrals, or if it persists universally. More background and relevant papers at <a href="https://paulbalduf.com/research/statistics-periods/" rel="nofollow noopener" translate="no" target="_blank">https://paulbalduf.com/research/statistics-periods/</a> <a href="https://mathstodon.xyz/tags/quantum" class="mention hashtag" rel="nofollow noopener" target="_blank">#quantum</a> <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a> <a href="https://mathstodon.xyz/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#statistics</a>

Soh Kam Yung"[W]e must turn our attention to the realm of quantum field theory, and to the special place the Higgs boson calls home, the Higgs field. Along the way, we’ll see how the relationship between quantum fields and the basic physical property of quantum spin can help us better understand the nature of our universe. And why finding the Higgs is far from the end of the story."<a href="https://www.symmetrymagazine.org/article/what-the-higgs-boson-tells-us-about-the-universe" rel="nofollow noopener" target="_blank">https://www.symmetrymagazine.org/article/what-the-higgs-boson-tells-us-about-the-universe</a><a href="https://mstdn.io/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Physics</a> <a href="https://mstdn.io/tags/Particles" class="mention hashtag" rel="nofollow noopener" target="_blank">#Particles</a> <a href="https://mstdn.io/tags/QuantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumFieldTheory</a> <a href="https://mstdn.io/tags/HiggsBoson" class="mention hashtag" rel="nofollow noopener" target="_blank">#HiggsBoson</a>

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