| Issue |
EPL
Volume 104, Number 2, October 2013
|
|
|---|---|---|
| Article Number | 21001 | |
| Number of page(s) | 6 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/104/21001 | |
| 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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.