Se p 19 99 UMN - D - 99 - 3 September 1999 On the Use of Discrete Light - Cone Quantization to Compute Form Factors ∗

There has been assembled a sequence of technologies by which one might eventually compute hadronic form factors directly from quantum chromodynamics (QCD). These include the early work by Drell and Yan [1] and by Brodsky and Drell [2] on the relation of form factors to Fock-state wave functions in light-cone quantization. The wave functions can be calculated, in principle, by the method of discrete light-cone quantization (DLCQ) proposed by Pauli and Brodsky [3]. Refinements of DLCQ that permit substantive calculations in non-super-renormalizable, (3+1)-dimensional field theories have now been tested by Brodsky, Hiller, and McCartor [4,5]; a key role is played by Pauli–Villars (PV) regularization [6], implemented through the introduction of PV bosons to the DLCQ Fock-state basis. In the following sections, a description is given of how this sequence comes together, and the steps are applied to a form factor calculation in the model of Ref. [5].