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Simon Metayer - Elastic Membranes: Critical Behavior and Precision Field Theory
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Europe/Paris
Salle de Sommets
Salle de Sommets
Description
I will present recent results on perturbative multi-loop computations
applied to the theory of elastic flat membranes subject to small thermal
fluctuations. This model has applications across a wide range of
systems, including graphene, biological cell membranes, branes in string
theory, or even everyday sheets of paper! It also offers an excellent
opportunity to (re)introduce perturbative field theory, Feynman diagrams
and the renormalization group in an intuitive way, using techniques and
software originally developed for high-energy physics. The physical
results show remarkably good convergence up to four loops and agree well
with both experimental data and numerical simulations. These studies
pave the way for tackling more complex models, such as those involving
quantum or disorder effects.
applied to the theory of elastic flat membranes subject to small thermal
fluctuations. This model has applications across a wide range of
systems, including graphene, biological cell membranes, branes in string
theory, or even everyday sheets of paper! It also offers an excellent
opportunity to (re)introduce perturbative field theory, Feynman diagrams
and the renormalization group in an intuitive way, using techniques and
software originally developed for high-energy physics. The physical
results show remarkably good convergence up to four loops and agree well
with both experimental data and numerical simulations. These studies
pave the way for tackling more complex models, such as those involving
quantum or disorder effects.
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