Stressenergy tensor induced by a bulk Dirac spinor in the RandallSundrum model
Abstract
Motivated by the possible extension into a supersymmetric RandallSundrum (RS) model, we investigate the properties of the vacuum expectation value (VEV) of the stressenergy tensor for a quantized bulk Dirac spinor field in the RS geometry and compare it with that for a real scalar field. This is carried out via the Green function method based on first principles without invoking the degeneracy factor, whose validity in a warp geometry is a priori unassured. In addition, we investigate the local behavior of the Casimir energy near the two branes. One salient feature we found is that the surface divergences near the two branes have opposite signs. We argue that this is a generic feature of the fermionic Casimir energy density due to its parity transformation in the fifth dimension. Furthermore, we investigate the selfconsistency of the RS metric under the quantum correction due to the stressenergy tensor. It is shown that the VEV of the stressenergy tensor and the classical one become comparable near the visible brane if k ≃ M ≃ M Pl (the requirement of no hierarchy problem), where k is the curvature of the RS warped geometry and M the fivedimensional Planck mass. In that case themore »
 Authors:

 National Taiwan Univ., Taipei (Taiwan)
 National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1443191
 Report Number(s):
 SLACPUB14876
Journal ID: ISSN 15507998; PRVDAQ
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. D, Particles, Fields, Gravitation and Cosmology
 Additional Journal Information:
 Journal Volume: 81; Journal Issue: 8; Journal ID: ISSN 15507998
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Shao, ShuHeng, Chen, Pisin, and Gu, JeAn. Stressenergy tensor induced by a bulk Dirac spinor in the RandallSundrum model. United States: N. p., 2010.
Web. doi:10.1103/PhysRevD.81.084036.
Shao, ShuHeng, Chen, Pisin, & Gu, JeAn. Stressenergy tensor induced by a bulk Dirac spinor in the RandallSundrum model. United States. doi:10.1103/PhysRevD.81.084036.
Shao, ShuHeng, Chen, Pisin, and Gu, JeAn. Mon .
"Stressenergy tensor induced by a bulk Dirac spinor in the RandallSundrum model". United States. doi:10.1103/PhysRevD.81.084036. https://www.osti.gov/servlets/purl/1443191.
@article{osti_1443191,
title = {Stressenergy tensor induced by a bulk Dirac spinor in the RandallSundrum model},
author = {Shao, ShuHeng and Chen, Pisin and Gu, JeAn},
abstractNote = {Motivated by the possible extension into a supersymmetric RandallSundrum (RS) model, we investigate the properties of the vacuum expectation value (VEV) of the stressenergy tensor for a quantized bulk Dirac spinor field in the RS geometry and compare it with that for a real scalar field. This is carried out via the Green function method based on first principles without invoking the degeneracy factor, whose validity in a warp geometry is a priori unassured. In addition, we investigate the local behavior of the Casimir energy near the two branes. One salient feature we found is that the surface divergences near the two branes have opposite signs. We argue that this is a generic feature of the fermionic Casimir energy density due to its parity transformation in the fifth dimension. Furthermore, we investigate the selfconsistency of the RS metric under the quantum correction due to the stressenergy tensor. It is shown that the VEV of the stressenergy tensor and the classical one become comparable near the visible brane if k ≃ M ≃ M Pl (the requirement of no hierarchy problem), where k is the curvature of the RS warped geometry and M the fivedimensional Planck mass. In that case the selfconsistency of the RS model that includes bulk fields is in doubt. If, however, k ≲ M , then an approximate selfconsistency of the RStype metric may still be satisfied.},
doi = {10.1103/PhysRevD.81.084036},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 8,
volume = 81,
place = {United States},
year = {2010},
month = {4}
}
Web of Science
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