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5 papers · 2 filters
Mean field flow equations and asymptotically free scalar fields
Christoph Kopper
The flow equations of the renormalisation group permit to analyse the perturbative -point functions of renormalisable quantum field theories. Rigorous bounds implying renormalis…
Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene
Philippe Briet, Jean-Claude Cuenin, Leonid Golinskii +1
Combining the methods of Cuenin [2019] and Borichev-Golinskii-Kupin [2009, 2018], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effecti…
Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases
Thomas Krajewski, Vincent Rivasseau, Vasily Sazonov
This paper provides the constructive loop vertex expansion for stable matrix models with (single trace) interactions of arbitrarily high even order in the Hermitian and real symmet…
Engineering stable quantum currents at bulk boundaries
Joachim Asch, Olivier Bourget, Alain Joye
We study transport properties of discrete quantum dynamical systems on the lattice, in particular Coined Quantum Walks and the Chalker--Coddington model. We prove existence of a no…
Spectral Action in Noncommutative Geometry
Michał Eckstein, Bruno Iochum
What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes,…