# Chern-Simons potential in models of Casimir effect

## Abstract

In the model constructed in the framework of the proposed by Symanzik approach for description of interaction of a macroscopic material body with quantum fields the interaction of thin material film with photon field is presented by the Chern-Simons potential. All the effects of this interaction with can by described in the framework of one model. In this way, the Casimir energy for two parallel infinite planes and sphere, the Casimir-Polder potential, and characteristics of other physical phenomena have been calculated for non-ideal conducting material of film. The specific of regularization and renormalization procedures used by calculations and the physical meaning of obtained results are discussed. In the limit of infinite coupling constant one obtains the known results of models with boundary conditions. By finite value of coupling constants the model predicts unusual effects which could be important for micro-mechanics, nano-photonics, constructing of new materials.

- Authors:

- Department of Theoretical Physics, State University of Sankt-Petersburg, Ulyanovskaya 1, Petrodvorets, 198504, Sankt-Petersburg (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22306062

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1606; Journal Issue: 1; Conference: 2. Russian-Spanish congress on particle and nuclear physics at all scales, astroparticle physics and cosmology, St. Petersburg (Russian Federation), 1-4 Oct 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CASIMIR EFFECT; COUPLING CONSTANTS; INTERACTIONS; PHOTONS; POTENTIALS; RENORMALIZATION

### Citation Formats

```
Pis'mak, Yury M., and Pis'mak, Daria Yu.
```*Chern-Simons potential in models of Casimir effect*. United States: N. p., 2014.
Web. doi:10.1063/1.4891149.

```
Pis'mak, Yury M., & Pis'mak, Daria Yu.
```*Chern-Simons potential in models of Casimir effect*. United States. doi:10.1063/1.4891149.

```
Pis'mak, Yury M., and Pis'mak, Daria Yu. Wed .
"Chern-Simons potential in models of Casimir effect". United States.
doi:10.1063/1.4891149.
```

```
@article{osti_22306062,
```

title = {Chern-Simons potential in models of Casimir effect},

author = {Pis'mak, Yury M. and Pis'mak, Daria Yu.},

abstractNote = {In the model constructed in the framework of the proposed by Symanzik approach for description of interaction of a macroscopic material body with quantum fields the interaction of thin material film with photon field is presented by the Chern-Simons potential. All the effects of this interaction with can by described in the framework of one model. In this way, the Casimir energy for two parallel infinite planes and sphere, the Casimir-Polder potential, and characteristics of other physical phenomena have been calculated for non-ideal conducting material of film. The specific of regularization and renormalization procedures used by calculations and the physical meaning of obtained results are discussed. In the limit of infinite coupling constant one obtains the known results of models with boundary conditions. By finite value of coupling constants the model predicts unusual effects which could be important for micro-mechanics, nano-photonics, constructing of new materials.},

doi = {10.1063/1.4891149},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1606,

place = {United States},

year = {Wed Jul 23 00:00:00 EDT 2014},

month = {Wed Jul 23 00:00:00 EDT 2014}

}