Worldline approach to Casimir phenomena

Alexej Weber

Université Paris Sud, Laboratoire de Physique Théorique et Modèles Statistiques, Orsay, France

I will present an introduction to worldline numerics and discuss the nontrivial interplay between geometry and temperature in the Casimir effect for the sphere-plate and cylinder-plate configurations. The worldline approach used allows a precise computation of Casimir energies in arbitrary geometries. Thermal fluctuations on scales of the thermal wavelength lead to a delocalization of the thermal force density at low temperatures. As a consequence, the temperature dependence strongly differs from naive expectations. Most prominently, thermal forces can develop non-monotonic behavior below a critical temperature.

Back