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

Quantum theory of relativistic string with fixed ends is constructed in the timelike gauge. Gauge conditions are introduced in the reparametrization-invariant action of the string. The theory has no tachyon states or constraints on the dimension of the space-time. The constraints and gauge conditions are fulfilled in quantum theory only for the matrix elements between physical state vectors. The string generates the static interquark potential $V(R) = \sqrt{\gamma^2R^2+\varepsilon_0}$ where $\varepsilon_0$ is a free parameter determined in the experiment.