most citedHybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%

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math-ph2026

Ultraviolet Renormalisation of a Quantum Field Toy Model II

Benjamin Alvarez, Jacob Schach Møller

We consider a class of toy models describing a fermion field coupled with a boson field. The model can be viewed as a Yukawa model but with scalar fermions. As in our first paper,…

math-ph2026

Triviality vs perturbation theory: an analysis for mean-field -theory in four dimensions

Christoph Kopper, Pierre Wang

We have constructed the mean-field trivial solution of the theory model in four dimensions in two previous papers using the flow equations of the renormalization grou…

math-ph2026

Miniatures on Open Quantum Systems

Jan Derezinski, Vojkan Jaksic, Claude-Alain Pillet

We presents a unified and concise exposition of key topics in the mathematical theory of open quantum systems, developed within the framework of operator algebras. The manuscript c…

math-ph2026

Entropy Maximization and Weak Gibbsianity of Quasi-Free Fermionic States

Vojkan JakÅ¡ić, Vojkan Jakšić, Claude-Alain Pillet +1

In their 1972 study of approach to equilibrium, Lanford and Robinson showed that gauge-invariant quasi-free states of lattice fermions maximize entropy among all translation-invari…

math-ph2026

What is a Fluctuation Theorem?

Noé Cuneo, Vojkan Jakšić, Claude-Alain Pillet +1

This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics. It focuses on the pioneering perspectives of Gallavott…