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The long range gravitational potential energy between strings

Wessling, Margaret E. and Wise, Mark B. (2001) The long range gravitational potential energy between strings. Physics Letters B, 523 (3-4). pp. 331-337. ISSN 0370-2693.

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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.

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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.
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Department of Energy (DOE)DE-FG03-92-ER-40701
Issue or Number:3-4
Record Number:CaltechAUTHORS:20170823-084945261
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Official Citation:Margaret E. Wessling, Mark B. Wise, The long range gravitational potential energy between strings, Physics Letters B, Volume 523, Issue 3, 2001, Pages 331-337, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80728
Deposited By: Ruth Sustaita
Deposited On:23 Aug 2017 16:10
Last Modified:03 Oct 2019 18:34

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