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Exploring extra dimensions with scalar fields.

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Title: Exploring extra dimensions with scalar fields.
Authors: Brown, Katherine1 (AUTHOR), Mathur, Harsh2 (AUTHOR) harsh.mathur@case.edu, Verostek, Mike1 (AUTHOR)
Source: American Journal of Physics. May2018, Vol. 86 Issue 5, p327-337. 11p.
Subjects: Branes, Gravitational fields, Dimensions, Scalar field theory, Spacetime, Physics, Distances
Abstract: This paper provides a pedagogical introduction to the physics of extra dimensions by examining the behavior of scalar fields in three landmark models: the ADD, Randall-Sundrum, and DGP spacetimes. Results of this analysis provide qualitative insights into the corresponding behavior of gravitational fields and elementary particles in each of these models. In these "brane world" models, the familiar four dimensional spacetime of everyday experience is called the brane and is a slice through a higher dimensional spacetime called the bulk. The particles and fields of the standard model are assumed to be confined to the brane, while gravitational fields are assumed to propagate in the bulk. For all three spacetimes, we calculate the spectrum of propagating scalar wave modes and the scalar field produced by a static point source located on the brane. For the ADD and Randall-Sundrum models, at large distances, the field looks like that of a point source in four spacetime dimensions, but at short distances, it crosses over to a form appropriate to the higher dimensional spacetime. For the DGP model, the field has the higher dimensional form at long distances rather than short. The behavior of these scalar fields, derived using only undergraduate level mathematics, closely mirror the results that one would obtain by performing the far more difficult task of analyzing the behavior of gravitational fields in these spacetimes. [ABSTRACT FROM AUTHOR]
Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Exploring extra dimensions with scalar fields.
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  Data: <searchLink fieldCode="JN" term="%22American+Journal+of+Physics%22">American Journal of Physics</searchLink>. May2018, Vol. 86 Issue 5, p327-337. 11p.
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  Data: This paper provides a pedagogical introduction to the physics of extra dimensions by examining the behavior of scalar fields in three landmark models: the ADD, Randall-Sundrum, and DGP spacetimes. Results of this analysis provide qualitative insights into the corresponding behavior of gravitational fields and elementary particles in each of these models. In these "brane world" models, the familiar four dimensional spacetime of everyday experience is called the brane and is a slice through a higher dimensional spacetime called the bulk. The particles and fields of the standard model are assumed to be confined to the brane, while gravitational fields are assumed to propagate in the bulk. For all three spacetimes, we calculate the spectrum of propagating scalar wave modes and the scalar field produced by a static point source located on the brane. For the ADD and Randall-Sundrum models, at large distances, the field looks like that of a point source in four spacetime dimensions, but at short distances, it crosses over to a form appropriate to the higher dimensional spacetime. For the DGP model, the field has the higher dimensional form at long distances rather than short. The behavior of these scalar fields, derived using only undergraduate level mathematics, closely mirror the results that one would obtain by performing the far more difficult task of analyzing the behavior of gravitational fields in these spacetimes. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1119/1.5024221
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      – Code: eng
        Text: English
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        PageCount: 11
        StartPage: 327
    Subjects:
      – SubjectFull: Branes
        Type: general
      – SubjectFull: Gravitational fields
        Type: general
      – SubjectFull: Dimensions
        Type: general
      – SubjectFull: Scalar field theory
        Type: general
      – SubjectFull: Spacetime
        Type: general
      – SubjectFull: Physics
        Type: general
      – SubjectFull: Distances
        Type: general
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      – TitleFull: Exploring extra dimensions with scalar fields.
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            NameFull: Brown, Katherine
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            NameFull: Mathur, Harsh
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            NameFull: Verostek, Mike
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            – D: 01
              M: 05
              Text: May2018
              Type: published
              Y: 2018
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            – TitleFull: American Journal of Physics
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