Volume 104, Number 2, October 2013
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||20 November 2013|
Conformal field theory of critical Casimir interactions in 2D
1 Dipartimento di Scienze Fisiche, Università di Napoli Federico II, Complesso Universitario MSA Via Cintia, I-80126 Napoli, Italy
2 INFN Sezione di Napoli - I-80126 Napoli, Italy
3 Laboratoire de Physique Théorique et Modèles Statistiques, CNRS UMR 8626, Bât. 100, Université Paris - Sud F-91405 Orsay cedex, France
4 Massachusetts Institute of Technology, Department of Physics - Cambridge, MA 02139, USA
Received: 26 September 2013
Accepted: 25 October 2013
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.
PACS: 11.25.Hf – Conformal field theory, algebraic structures / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 68.35.Rh – Phase transitions and critical phenomena
© EPLA, 2013
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