Local Scalar Fields Equivalent to Nambu-Goto Strings

Abstract

We prove the mathematical equivalence of Nambu-Goto strings to local scalar fields $S\left(x\right)\mathrm{}$ and $T\mathrm{}\left(x\right)\mathrm{}$ described by the Lagrangian $\mathcal{L}=-\int d^{4}x{\left\{\frac{{\left[\frac{\partial \mathrm{}(S,T)\mathrm{}}{\partial (x_{\mu },x_{\nu })}\right]}^2}{2}\right\}}^{\frac{1}{2}}$ Implications to the quantization problem of strings are also discussed.