The paper discusses the computation of planar gluon scattering amplitudes at strong coupling in $\mathcal{N}=4$ super Yang-Mills using the gauge-string duality. The authors find that the amplitudes are infrared (IR) divergent and introduce a gravity version of dimensional regularization to define finite quantities. They compute the leading and subleading IR divergences, which are characterized by two functions of the coupling constant, and also compute the full finite form for the four-point amplitude, finding agreement with a recent conjecture by Bern, Dixon, and Smirnov. The computation involves finding a classical string configuration whose boundary conditions are determined by the gluon momenta, and the results are expressed in terms of the area of the string worldsheet. The paper also includes a detailed discussion of the IR divergences and their regularization, as well as technical details and appendices.The paper discusses the computation of planar gluon scattering amplitudes at strong coupling in $\mathcal{N}=4$ super Yang-Mills using the gauge-string duality. The authors find that the amplitudes are infrared (IR) divergent and introduce a gravity version of dimensional regularization to define finite quantities. They compute the leading and subleading IR divergences, which are characterized by two functions of the coupling constant, and also compute the full finite form for the four-point amplitude, finding agreement with a recent conjecture by Bern, Dixon, and Smirnov. The computation involves finding a classical string configuration whose boundary conditions are determined by the gluon momenta, and the results are expressed in terms of the area of the string worldsheet. The paper also includes a detailed discussion of the IR divergences and their regularization, as well as technical details and appendices.