Tachyon vertex operator (source code)

= Tachyon vertex operator
{title2=$V_p={}:e^{ip\cdot X}:$}

The bosonic closed-string tachyon vertex is the normal-ordered exponential ${}:e^{ip\cdot X}:$ integrated over its worldsheet position. Pairwise contractions of such exponentials generate the <Koba-Nielsen factor>.