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arXiv · hep-th/0110091

The Long Range Gravitational Potential Energy Between Strings

Margaret E. Wessling·Mark B. Wise
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Abstract

We calculate the gravitational potential energy between infinitely long parallel strings with tensions τ_1 and τ_2. 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/(5 πa^2) + ..., where a is the separation between the strings, G_N is Newton's constant, and we set \hbar = c =1. The ellipses represent terms suppressed by more powers of G_N τ_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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Margaret E. Wessling, Mark B. Wise. 2001-10-25. The Long Range Gravitational Potential Energy Between Strings. https://doi.org/10.1016/s0370-2693(01)01360-0

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