p-Adic String
[151] "The p-Adic String N-Point Function" by P.H. Frampton and Y. Okada.
Phys. Rev. Lett. 60, 484 (1988).
When a novel (p-Adic) expression for the Veneziano formula was suggested in
I. Volovich, Class. Quant. Grav. 4, L83 (1987), it created excitement especially
after Peter Freund and Edward Witten, Phys. Rev. Lett. B199, 191 (1987) rewrote
the four-point function as an infinite product over the oprime numbers.
The open question we addressed in [151] was how to extend this from the 4 to N?
We started from the Bardakci-Ruegg form of the N-Point dual resonance model to arrive
at a very simple N-point p-Adic string. A month or two later, Freund and Witten arrived at an
entirely equivalent result in Nucl. Phys. B302, 365 (1988) though in a considerably more
complicated version.
[153] "Effective Scalar Field Theory of p-Adic String" by P.H. Frampton and Y. Okada.
Phys. Rev. D37, 3077 (1988).
Paper[153] derived a non-local field theory which yields the p-Adic
string Feynman rules. The lagrangian was used many years later
for studies of the bosonic string tachyon*.
An open question about p-Adic string theory:
What is a physical interpretation of the p-Adic string, for finite p?
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*Ashoke Sen, Int. J Mod. Phys.A20, 5513 (2004) hep-th/0410103
Ashoke Sen, JHEP 0408:034 (2004) hep-th/0403200.
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