Exploring extra dimensions with scalar fields

Exploring extra dimensions with scalar fields This paper provides a pedagogical introduction to the physics of extra dimensions byexamining the behavior of scalar fields in three landmark models: the ADD,Randall-Sundrum, and DGP spacetimes. Results of this analysis provide qualitative insightsinto the corresponding behavior of gravitational fields and elementary particles in eachof these models. In these “brane world” models, the familiar four dimensional spacetime ofeveryday experience is called the brane and is a slice through a higher dimensionalspacetime called the bulk. The particles and fields of the standard model are assumed tobe 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 andthe scalar field produced by a static point source located on the brane. For the ADD andRandall-Sundrum models, at large distances, the field looks like that of a point source infour spacetime dimensions, but at short distances, it crosses over to a form appropriateto the higher dimensional spacetime. For the DGP model, the field has the higherdimensional form at long distances rather than short. The behavior of these scalar fields,derived using only undergraduate level mathematics, closely mirror the results that onewould obtain by performing the far more difficult task of analyzing the behavior ofgravitational fields in these spacetimes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png American Journal of Physics American Association of Physics Teachers

Exploring extra dimensions with scalar fields

Loading next page...
 
/lp/aapt/exploring-extra-dimensions-with-scalar-fields-0sWvu8DSzw
Publisher
American Association of Physics Teachers
Copyright
© 2018 American Association of Physics Teachers.
ISSN
0002-9505
D.O.I.
10.1119/1.5024221
Publisher site
See Article on Publisher Site

Abstract

This paper provides a pedagogical introduction to the physics of extra dimensions byexamining the behavior of scalar fields in three landmark models: the ADD,Randall-Sundrum, and DGP spacetimes. Results of this analysis provide qualitative insightsinto the corresponding behavior of gravitational fields and elementary particles in eachof these models. In these “brane world” models, the familiar four dimensional spacetime ofeveryday experience is called the brane and is a slice through a higher dimensionalspacetime called the bulk. The particles and fields of the standard model are assumed tobe 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 andthe scalar field produced by a static point source located on the brane. For the ADD andRandall-Sundrum models, at large distances, the field looks like that of a point source infour spacetime dimensions, but at short distances, it crosses over to a form appropriateto the higher dimensional spacetime. For the DGP model, the field has the higherdimensional form at long distances rather than short. The behavior of these scalar fields,derived using only undergraduate level mathematics, closely mirror the results that onewould obtain by performing the far more difficult task of analyzing the behavior ofgravitational fields in these spacetimes.

Journal

American Journal of PhysicsAmerican Association of Physics Teachers

Published: May 4, 2018

There are no references for this article.

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off