Interpolating Quantizaton from Instant to Light-front using Clifford algebra

POSTER

Abstract

We studied applications of Clifford algebra $Cl_{1,3} $ in interpolating quantization which is between light-front form and instant form quantization by an interpolation angle. We show that Poincare algebra is a part of Clifford algebra and spinors can be expressed as projections of Clifford numbers. This study shows how Clifford algebra is eligible to not only for standard basis of quantum but also any other basis and how ease our step with avoiding matrix and commutation relations usage.

Authors

  • Murat An

    North Carolina State Univ, North Carolina State University

  • Chueng Ji

    North Carolina State Univ