Calculation of static interquark potential in a string model in a timelike gauge

The quantum theory of a relativistic string with fixed ends is constructed using a timelike gauge. A gauge condition is introduced into the reparametrization-invariant string action. In the theory, there are no restrictions on the space-time dimension and there are no tachyon states. The constraints and gauge conditions are satisfied in the quantum case only on the average, at the level of the matrix elements between the physical state vectors. The string generates a static potential V(R) = √γ2R2 + epsilon 0, where the constant epsilon0 is a free parameter of the theory which can be determined from experiment