Multi - legs, Superfluids & Semiclassics Riccardo Rattazzi, - PowerPoint PPT Presentation

Multi - legs, Superfluids & Semiclassics Riccardo Rattazzi, EPFL with Gil Badel, Gabriel Cuomo, Alexander Monin, arXiv:1909.01269, arXiv:1911.08505

Extremal Correlators and Random Matrix Theory Alba Grassi, Zohar Komargodski, Luigi Tizzano. Aug 27, 2019. 49 pp. e-Print: arXiv:1908.10306 The large charge limit of scalar field theories and the Wilson-Fisher fixed point at 𝜗 =0 ϵ = 0 G. Arias-Tamargo, D. Rodriguez-Gomez, J.G. Russo. Aug 29, 2019. 14 pp. e-Print: arXiv:1908.11347 Accessing Large Global Charge via the 𝜗 ϵ -Expansion Masataka Watanabe. Sep 3, 2019. 15 pp. e-Print: arXiv:1909.01337

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<latexit sha1_base64="(nul)">(nul)</latexit> <latexit sha1_base64="(nul)">(nul)</latexit> <latexit sha1_base64="(nul)">(nul)</latexit> <latexit sha1_base64="(nul)">(nul)</latexit> <latexit sha1_base64="(nul)">(nul)</latexit> <latexit sha1_base64="(nul)">(nul)</latexit> <latexit sha1_base64="(nul)">(nul)</latexit> [ W eak vs Strong ] & [ Classical vs Quantum ] W eak coupling: loop expansion around leading trajectory γ c ` e − W = e − [ S 0 + S 1 + S 2 + ... ] can further distinguish semi - classical and quantum observables semi - class Ex: every day life δ q O ⌧ O ( γ c ` ) h O i = O ( γ c ` ) + δ q O h φφφφ i Ex: δ q O > quantum ∼ O ( γ c ` ) around φ ( γ c ` ) = 0 Strong coupling: PI cannot be described by leading trajectory

Common practice: few legs in weakly coupled QFT = small fluctuations around trivial trajectory However when the number of legs grows expansion breaks down How do we describe physics in this regime?