Blackbody radiation in a brane world scenario

Keywords: Black hole, Extra dimensions, Stefan-Boltzmann law

Abstract

In this work, we analize the problem of black body radiation in a effective action 4D that arises from the action 6D of a free gauge field in a non-factorizable geometry, where the two extra dimensions are compact, but with different topology. Our starting point is the Kaluza-Klein decomposition of the 6D Maxwell action into two sectors in 4D. The first sector contains a 4D massless Maxwell action, while the second yields an infinite set of a 4D massive gauge fields. The results obtained show that the standard Stefan-Boltzmann law is given by the zero mode plus corrective terms from the Kaluza-Klein tower.

Downloads

Download data is not yet available.

References

Alnes, H., Ravndal, F., y Wehus, I. K. (2007). Black-body radiation with extra dimensions. Journal of Physics A: Mathematical and Theoretical, 40(47):14309.

Appelquist, T., Cheng, H.-C., y Dobrescu, B. A. (2001). Bounds on universal extra dimensions. Phys. Rev., D64:035002.

Bass, L. y Schrodinger, E. (1955). Must the photon mass be zero? Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 232(1188):1–6.

Cardoso, T. R. y Castro, A. S. d. (2005). The blackbody radiation in a Ddimensional universes. Revista Brasileira de Ensino de FA˜sica, 27:559 –563.

Chang, S., Hisano, J., Nakano, H., Okada, N., y Yamaguchi, M. (2000). Bulk standard model in the Randall Sundrum background. Phys.Rev., D62:084025.

Cheng, H.-b. (2008). The Casimir force on a piston in the spacetime with extra compactified dimensions. Phys. Lett., B668:72–77.

Cheng, H.-C., Matchev, K. T., y Schmaltz, M. (2002). Radiative corrections to Kaluza-Klein masses. Phys. Rev., D66:036005.

Davoudiasl, H., Hewett, J., y Rizzo, T. (2000). Bulk gauge fields in the Randall- Sundrum model. Phys.Lett., B473:43–49.

Dimopoulos, S. y Landsberg, G. L. (2001). Black holes at the LHC. Phys. Rev. Lett., 87:161602.

Frank, M., Saad, N., y Turan, I. (2008). The Casimir Force in Randall Sundrum Models with q+1 dimensions. Phys. Rev., D78:055014.

Frank, M., Turan, I., y Ziegler, L. (2007). The Casimir Force in Randall Sundrum Models. Phys. Rev., D76:015008.

Giddings, S. B. y Thomas, S. D. (2002). High-energy colliders as black hole factories: The End of short distance physics. Phys. Rev., D65:056010.

Husain, V., Seahra, S. S., yWebster, E. J. (2013). High energy modifications of blackbody radiation and dimensional reduction. Phys. Rev. D, 88:024014.

Kaluza, T. (1921). On the Problem of Unity in Physics. Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.), 1921:966–972.

Kim, H.-C., Rim, C., y Yee, J. H. (2007). Blackbody radiation in kappa- Minkowski spacetime. Phys. Rev., D76:105012.

Klein, O. (1926). Quantum Theory and Five-Dimensional Theory of Relativity. (In German and English). Z. Phys., 37:895–906. [Surveys High Energ. Phys.5,241(1986)].

Linares, R., Morales-Tecotl, H. A., y Pedraza, O. (2008). Casimir force for a scalar field in warped brane worlds. Phys. Rev., D77:066012.

Morales-Tecotl, H. A., Pedraza, O., y Pimentel, L. O. (2007). Low-energy effects in brane worlds: Liennard Wiechert potentials and Hydrogen Lamb shift. Gen. Rel. Grav., 39:1185–1202.

Nordstrom, G. (1914). On the possibility of unifying the electromagnetic and the gravitational fields. Phys. Z., 15:504–506.

Nozari, K. y Anvari, F. (2012). Black body radiation in a model universe with large extra dimensions and quantum gravity effects.

Ramos, R. y Boschi-Filho, H. (2014). The size of compact extra dimensions from blackbody radiation laws. Physica A: Statistical Mechanics and its Applications, 393:261 – 267.

Ramos, R. y Filho, H. B. (2014). The Blackbody Radiation Laws in the AdS5 × S5 Spacetime.

Servant, G. y Tait, T. M. P. (2003). Is the lightest Kaluza-Klein particle a viable dark matter candidate? Nucl. Phys., B650:391–419.

Teo, L. P. (2009). Casimir Effect in Spacetime with Extra Dimensions: From Kaluza-Klein to Randall-Sundrum Models. Phys. Lett., B682:259–265.

Torres-Hern´andez, J. (1985). Photon mass and blackbody radiation. Phys. Rev. A, 32:623–624.

Published
2023-07-05
How to Cite
Cerón-Ángeles, V. E., Pedraza-Ortega, O., & Lopez-Suarez, L. A. (2023). Blackbody radiation in a brane world scenario. Pädi Boletín Científico De Ciencias Básicas E Ingenierías Del ICBI, 11(21), 96-102. https://doi.org/10.29057/icbi.v11i21.10704

Most read articles by the same author(s)