Conformal field theory of critical Casimir interactions in 2D
Author(s)Bimonte, Giuseppe; Emig, Thorsten; Kardar, Mehran
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Thermal fluctuations of a critical system induce long-ranged Casimir forces between objects that couple to the underlying field. For two-dimensional (2D) conformal field theories (CFT) we derive an exact result for the Casimir interaction between two objects of arbitrary shape, in terms of 1) the free energy of a circular ring whose radii are determined by the mutual capacitance of two conductors with the objects' shape; and 2) a purely geometric energy that is proportional to the conformal charge of the CFT, but otherwise super-universal in that it depends only on the shapes and is independent of boundary conditions and other details.
DepartmentMassachusetts Institute of Technology. Department of Physics
EPL (Europhysics Letters)
Institute of Physics Publishing
Bimonte, G., T. Emig, and M. Kardar. “Conformal Field Theory of Critical Casimir Interactions in 2D.” EPL (Europhysics Letters) 104, no. 2 (October 1, 2013): 21001.