#quantumFieldTheory

Paul BaldufNew theoretical <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a> preprint <a href="https://arxiv.org/abs/2412.08617" rel="nofollow noopener" translate="no" target="_blank">https://arxiv.org/abs/2412.08617</a> We looked at the asymptotic growth rate of the beta function in <a href="https://mathstodon.xyz/tags/quantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#quantumFieldTheory</a> , and the relative importance of subdivergence-free <a href="https://mathstodon.xyz/tags/Feynmangraph" class="mention hashtag" rel="nofollow noopener" target="_blank">#Feynmangraph</a> s. These graphs correspond to integrals, and the size of the graph is measured by its loop number, which also indicates how hard it is to solve the integral. State of the art computations in realistic theories are anywhere between 1 and 6 loops. The asymptotics of the perturbation series is known from instanton calculations. We now showed (in a model theory), that the leading asymptotics describes the true growth rate only for more than 25 loops, way beyond anything that can realistically be computed. This is good news: It tells us that asymptotic instanton calculations provide non-trivial additional information that can not be trivially inferred from low-order perturbation theory. In the plot, the red dots are numerical data points for the subdivergence-free graphs in phi^4 theory up to 18 loops, the green lines are the leading instanton asymptotics.

Paul BaldufTwo years ago, I began writing my <a href="https://mathstodon.xyz/tags/doctoralThesis" class="mention hashtag" rel="nofollow noopener" target="_blank">#doctoralThesis</a> in theoretical <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a>. Most effort went into giving a very detailed pedagogical account of what the <a href="https://mathstodon.xyz/tags/renormalization" class="mention hashtag" rel="nofollow noopener" target="_blank">#renormalization</a> <a href="https://mathstodon.xyz/tags/HopfAlgebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#HopfAlgebra</a> in <a href="https://mathstodon.xyz/tags/QuantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumFieldTheory</a> does, and why it is natural and transparent from a physical perspective. One year ago, my referees recommended in their reports to publish the thesis as a book, and today I received the printed copies! It was exciting to go through all the steps of actually publishing a book, and I hope that it will be of use to convince physicists that the Hopf algebra structure in <a href="https://mathstodon.xyz/tags/QFT" class="mention hashtag" rel="nofollow noopener" target="_blank">#QFT</a> is not a weird mathematical conundrum, but it actually encodes the very way physicists have been thinking of renormalization since the 1950s: Parametrize a theory by quantities one can actually measure, instead of fictional expansion parameters. <a href="https://link.springer.com/book/10.1007/978-3-031-54446-0" rel="nofollow noopener" translate="no" target="_blank">https://link.springer.com/book/10.1007/978-3-031-54446-0</a>

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>

VanessaI am currently investigating an analogy between geodesic deviation from GR and the electromagnetic (Lorentz + Coulomb) force in QED. Once I got all the mathematical details worked out, I will make a thread about this, but I am tripping over the details of how to solve the classical Dirac equation perturbatively in a constant external EM field (mainly distribution-theoretical Fourier stuff). Does anyone here have a good reference on this?<a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a> <a href="https://mathstodon.xyz/tags/theoreticalphysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#theoreticalphysics</a> <a href="https://mathstodon.xyz/tags/quantumfieldtheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#quantumfieldtheory</a> <a href="https://mathstodon.xyz/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#quantummechanics</a>

Victoria Stuart 🇨🇦 🏳️‍⚧️<a href="https://mastodon.social/tags/Dilbert" class="mention hashtag" rel="nofollow noopener" target="_blank">#Dilbert</a> <a href="https://mastodon.social/tags/SimulatedReality" class="mention hashtag" rel="nofollow noopener" target="_blank">#SimulatedReality</a> <a href="https://mastodon.social/tags/QuantumPhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumPhysics</a> <a href="https://mastodon.social/tags/HolographicUniverse" class="mention hashtag" rel="nofollow noopener" target="_blank">#HolographicUniverse</a> <a href="https://mastodon.social/tags/cosmology" class="mention hashtag" rel="nofollow noopener" target="_blank">#cosmology</a> <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a> <a href="https://mastodon.social/tags/ArtificialReality" class="mention hashtag" rel="nofollow noopener" target="_blank">#ArtificialReality</a> <a href="https://mastodon.social/tags/QuantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumFieldTheory</a> <a href="https://mastodon.social/tags/FreeWill" class="mention hashtag" rel="nofollow noopener" target="_blank">#FreeWill</a> <a href="https://mastodon.social/tags/epistemology" class="mention hashtag" rel="nofollow noopener" target="_blank">#epistemology</a>Scott Adams 🤬 <a href="https://en.wikipedia.org/wiki/Scott_Adams#Race" rel="nofollow noopener" translate="no" target="_blank">https://en.wikipedia.org/wiki/Scott_Adams#Race</a>[2023-02-27] Distributor, newspapers drop 'Dilbert' comic strip after creator's racist rant <a href="https://www.npr.org/2023/02/26/1159580425/newspapers-have-dropped-the-dilbert-comic-strip-after-a-racist-rant-by-its-creat" rel="nofollow noopener" translate="no" target="_blank">https://www.npr.org/2023/02/26/1159580425/newspapers-have-dropped-the-dilbert-comic-strip-after-a-racist-rant-by-its-creat</a>Video (Adams): racist troll, extraordinaire. 😡 <a href="https://www.youtube.com/watch?v=K6TnAn7qV1s" rel="nofollow noopener" translate="no" target="_blank">https://www.youtube.com/watch?v=K6TnAn7qV1s</a><a href="https://mastodon.social/tags/SystemicRacism" class="mention hashtag" rel="nofollow noopener" target="_blank">#SystemicRacism</a> <a href="https://mastodon.social/tags/CriticalRaceTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#CriticalRaceTheory</a> <a href="https://mastodon.social/tags/discrimination" class="mention hashtag" rel="nofollow noopener" target="_blank">#discrimination</a> <a href="https://mastodon.social/tags/whiteSupremacism" class="mention hashtag" rel="nofollow noopener" target="_blank">#whiteSupremacism</a> <a href="https://mastodon.social/tags/BLM" class="mention hashtag" rel="nofollow noopener" target="_blank">#BLM</a> <a href="https://mastodon.social/tags/BlackLivesMatter" class="mention hashtag" rel="nofollow noopener" target="_blank">#BlackLivesMatter</a> <a href="https://mastodon.social/tags/BlackTransLivesMatter" class="mention hashtag" rel="nofollow noopener" target="_blank">#BlackTransLivesMatter</a> .

Erwin Schrödinger InstituteWe are happy to announce that a new thematic programme with 5 focus weeks just got started at <a href="https://mathstodon.xyz/@ESIVienna" class="u-url mention" rel="nofollow noopener" target="_blank">@ESIVienna</a> ! 🥳 Check out the details below ⏬📅 31st July - 1st September 2023 📅 📌 Schrödinger Lecture Hall 📌▫️ Programme description ▫️ <a href="https://esi.ac.at/events/e476/" rel="nofollow noopener" target="_blank">https://esi.ac.at/events/e476/</a>📚 Subject: <a href="https://mathstodon.xyz/tags/QuantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumFieldTheory</a> at the Frontiers of the <a href="https://mathstodon.xyz/tags/StrongInteraction" class="mention hashtag" rel="nofollow noopener" target="_blank">#StrongInteraction</a> 📓Week 1: Finite-Mass and <a href="https://mathstodon.xyz/tags/Electroweak" class="mention hashtag" rel="nofollow noopener" target="_blank">#Electroweak</a> Effects in <a href="https://mathstodon.xyz/tags/gaugetheories" class="mention hashtag" rel="nofollow noopener" target="_blank">#gaugetheories</a> 📕 Week 2: <a href="https://mathstodon.xyz/tags/Singularity" class="mention hashtag" rel="nofollow noopener" target="_blank">#Singularity</a> Structure of Quantum Field Theory Beyond the Leading Power 📗 Week 3: <a href="https://mathstodon.xyz/tags/Factorization" class="mention hashtag" rel="nofollow noopener" target="_blank">#Factorization</a> Violation and the <a href="https://mathstodon.xyz/tags/Space" class="mention hashtag" rel="nofollow noopener" target="_blank">#Space</a> of Universal Functions 📘 Week 4: Simulation of the All Order Structure of Scattering Amplitudes 📙 Week 5: Multi-Variable Techniques for All Order Resummations in QFT(see the motion picture at <a href="https://twitter.com/ESIVienna/status/1686002264878530561" rel="nofollow noopener" target="_blank">https://twitter.com/ESIVienna/status/1686002264878530561</a>)<a href="https://fediscience.org/@univienna" class="u-url mention" rel="nofollow noopener" target="_blank">@univienna</a>

Prof Heino FalckeEthan Siegel just wrote an excellent blog about our new paper on Hawking radiation, giving a detailed explanation, why the event horizon is not necessary (and as usual he actually understands and explains some of these things better than I do!). Have a look - it saves me a long thread … <a href="https://bigthink.com/starts-with-a-bang/hawking-radiation-black-holes/" rel="nofollow noopener" target="_blank">https://bigthink.com/starts-with-a-bang/hawking-radiation-black-holes/</a><a href="https://astrodon.social/@startswithabang" class="u-url mention" rel="nofollow noopener" target="_blank">@startswithabang</a><a href="https://mastodon.social/tags/Astrodon" class="mention hashtag" rel="nofollow noopener" target="_blank">#Astrodon</a> <a href="https://mastodon.social/tags/astronomy" class="mention hashtag" rel="nofollow noopener" target="_blank">#astronomy</a> <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a> <a href="https://mastodon.social/tags/gravity" class="mention hashtag" rel="nofollow noopener" target="_blank">#gravity</a> <a href="https://mastodon.social/tags/hawking" class="mention hashtag" rel="nofollow noopener" target="_blank">#hawking</a> <a href="https://mastodon.social/tags/quantumgravity" class="mention hashtag" rel="nofollow noopener" target="_blank">#quantumgravity</a> <a href="https://mastodon.social/tags/QuantumFieldTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#QuantumFieldTheory</a>

Daniel Pomarède<a href="https://mastodon.social/tags/flashbackfriday" class="mention hashtag" rel="nofollow noopener" target="_blank">#flashbackfriday</a>Religiously listening to a lecture on quantum field theory by Pierre Binétruy.Les Houches, summer 93 - 📷 by Dirk HoffmannPierre Binétruy (1955-2017) - Best Prof ever <a href="https://fr.wikipedia.org/wiki/Pierre_Bin%C3%A9truy" rel="nofollow noopener" target="_blank">https://fr.wikipedia.org/wiki/Pierre_Bin%C3%A9truy</a><a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a> <a href="https://mastodon.social/tags/theory" class="mention hashtag" rel="nofollow noopener" target="_blank">#theory</a> <a href="https://mastodon.social/tags/theoreticalphysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#theoreticalphysics</a> <a href="https://mastodon.social/tags/supersymmetry" class="mention hashtag" rel="nofollow noopener" target="_blank">#supersymmetry</a> <a href="https://mastodon.social/tags/quantumfieldtheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#quantumfieldtheory</a> <a href="https://mastodon.social/tags/prof" class="mention hashtag" rel="nofollow noopener" target="_blank">#prof</a> <a href="https://mastodon.social/tags/professor" class="mention hashtag" rel="nofollow noopener" target="_blank">#professor</a> <a href="https://mastodon.social/tags/teaching" class="mention hashtag" rel="nofollow noopener" target="_blank">#teaching</a> <a href="https://mastodon.social/tags/teacher" class="mention hashtag" rel="nofollow noopener" target="_blank">#teacher</a> <a href="https://mastodon.social/tags/learning" class="mention hashtag" rel="nofollow noopener" target="_blank">#learning</a> <a href="https://mastodon.social/tags/leshouches" class="mention hashtag" rel="nofollow noopener" target="_blank">#leshouches</a> <a href="https://mastodon.social/tags/summerschool" class="mention hashtag" rel="nofollow noopener" target="_blank">#summerschool</a> #1993 <a href="https://mastodon.social/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#science</a>

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