The long range gravitational potential energy between strings
- Creators
- Wessling, Margaret E.
- Wise, Mark B.
Abstract
We calculate the gravitational potential energy between infinitely long parallel strings with tensions τ1 and τ2. Classically, it vanishes, but at one loop, we find that the long range gravitational potential energy per unit length is U/L=24G_N^2τ_1τ_2/(5πa^2)+⋯, where a is the separation between the strings, G_N is Newton's constant, and we set ℏ=c=1. The ellipses represent terms suppressed by more powers of G_Nτ_i. Typically, massless bulk fields give rise at one loop to a long range potential between p-branes in space–times of dimension p+2+1. The contribution to this potential from bulk scalars is computed for arbitrary p (strings correspond to p=1) and in the case of three-branes its possible relevance for cosmological quintessence is commented on.
Additional Information
© 2001 Elsevier Science B.V. Received 23 October 2001, Revised 26 October 2001, Accepted 12 November 2001, Available online 27 November 2001. We thank R. Sundrum and A. Lewandowski for some useful discussions. This work was supported in part by the department of energy under grant DE-FG03-92-ER-40701.Attached Files
Submitted - 0110091.pdf
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Additional details
- Eprint ID
- 80728
- Resolver ID
- CaltechAUTHORS:20170823-084945261
- DE-FG03-92-ER-40701
- Department of Energy (DOE)
- Created
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2017-08-23Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field