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Title: Stress-energy tensor induced by a bulk Dirac spinor in the Randall-Sundrum model

Abstract

Motivated by the possible extension into a supersymmetric Randall-Sundrum (RS) model, we investigate the properties of the vacuum expectation value (VEV) of the stress-energy 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 self-consistency of the RS metric under the quantum correction due to the stress-energy tensor. It is shown that the VEV of the stress-energy 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 five-dimensional Planck mass. In that case themore » self-consistency of the RS model that includes bulk fields is in doubt. If, however, k ≲ M , then an approximate self-consistency of the RS-type metric may still be satisfied.« less

Authors:
 [1];  [2];  [1]
  1. National Taiwan Univ., Taipei (Taiwan)
  2. 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):
SLAC-PUB-14876
Journal ID: ISSN 1550-7998; PRVDAQ
Grant/Contract Number:  
AC02-76SF00515
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 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Shao, Shu-Heng, Chen, Pisin, and Gu, Je-An. Stress-energy tensor induced by a bulk Dirac spinor in the Randall-Sundrum model. United States: N. p., 2010. Web. doi:10.1103/PhysRevD.81.084036.
Shao, Shu-Heng, Chen, Pisin, & Gu, Je-An. Stress-energy tensor induced by a bulk Dirac spinor in the Randall-Sundrum model. United States. doi:10.1103/PhysRevD.81.084036.
Shao, Shu-Heng, Chen, Pisin, and Gu, Je-An. Mon . "Stress-energy tensor induced by a bulk Dirac spinor in the Randall-Sundrum model". United States. doi:10.1103/PhysRevD.81.084036. https://www.osti.gov/servlets/purl/1443191.
@article{osti_1443191,
title = {Stress-energy tensor induced by a bulk Dirac spinor in the Randall-Sundrum model},
author = {Shao, Shu-Heng and Chen, Pisin and Gu, Je-An},
abstractNote = {Motivated by the possible extension into a supersymmetric Randall-Sundrum (RS) model, we investigate the properties of the vacuum expectation value (VEV) of the stress-energy 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 self-consistency of the RS metric under the quantum correction due to the stress-energy tensor. It is shown that the VEV of the stress-energy 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 five-dimensional Planck mass. In that case the self-consistency of the RS model that includes bulk fields is in doubt. If, however, k ≲ M , then an approximate self-consistency of the RS-type 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}
}

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Cited by: 11 works
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Figures / Tables:

Figure 1 Figure 1: The massless ($\mathcal{c}$=0), untwisted BC case for $\langle{T}_{00}\rangle$ren in units of k5. The branes are located at $y$ = 0 and $y$ = π and kR = 1. Note that the numerical value (points) agrees perfectly with the exact solution.

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Works referenced in this record:

The hierarchy problem and new dimensions at a millimeter
journal, June 1998


New dimensions at a millimeter to a fermi and superstrings at a TeV
journal, September 1998


Large Mass Hierarchy from a Small Extra Dimension
journal, October 1999


Dark energy and the hierarchy problem
journal, March 2009


A Possible Connection Between dark Energy and the Hierarchy
journal, September 2007


Stress-energy tensor for a quantized bulk scalar field in the Randall-Sundrum brane model
journal, February 2004


Surface Casimir densities and induced cosmological constant on parallel branes in AdS spacetime
journal, September 2004


The Casimir effect on background of conformally flat brane-world geometries
journal, January 2003


Casimir force in Randall-Sundrum models
journal, July 2007


Quantised bulk fields in the Randall–Sundrum compactification model
journal, June 2000


Casimir effect in de Sitter and anti–de Sitter braneworlds
journal, March 2003


Casimir energy and radius stabilization in five and six dimensional orbifolds
journal, May 2001


Fermion vacuum energies in brane world models
journal, October 2001


Quantized bulk fermions in the Randall-Sundrum brane model
journal, October 2001


Quantum (in)stability of a brane-world universe at nonzero temperature
journal, April 2001


Bulk fields and supersymmetry in a slice of AdS
journal, October 2000


Neutrino masses and mixings in non-factorizable geometry
journal, February 2000


A warped supersymmetric standard model
journal, May 2001


Calculating Casimir energies in renormalizable quantum field theory
journal, September 2003


Boundary effects in quantum field theory
journal, December 1979


Finite temperature field theory with boundaries: Stress tensor and surface action renormalisation
journal, April 1980


Casimir effect for scalar fields under Robin boundary conditions on plates
journal, January 2002

  • Romeo, August; Saharian, Aram A.
  • Journal of Physics A: Mathematical and General, Vol. 35, Issue 5
  • DOI: 10.1088/0305-4470/35/5/312

Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces
journal, April 2001


Systematics of the relationship between vacuum energy calculations and heat-kernel coefficients
journal, June 2003


Thick de Sitter 3-branes, dynamic black holes, and localization of gravity
journal, July 2002


Quantum fluctuations on a thick de Sitter brane
journal, March 2006


Can thick braneworlds be self-consistent?
journal, February 2006


Electromagnetic waves near perfect conductors. I. Multiple scattering expansions. Distribution of modes
journal, April 1977


Electromagnetic waves near perfect conductors. II. Casimir effect
journal, May 1978


    Works referencing / citing this record:

    Zitterbewegung in the AdS Cosmic String Space-Time
    journal, June 2019


    Zitterbewegung in the AdS Cosmic String Space-Time
    journal, June 2019


      Figures / Tables found in this record:

        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.