Quantum field theory via vertex algebras

摘要: We investigate an alternative formulation of quantum field theory that elevates the Wilson- Zimmermann operator product expansion (OPE) to axiom theory. observe information contained in OPE coefficients may be straightforwardly repackaged into "vertex operators". This way formulating has quite obvious similarities vertex algebras. As examples this framework, we discuss free massless boson D dimensions and Thirring model. set up perturbation for a general perturbations algebras, which is similar Hochschild cohomology describing deformation ordinary pass on more explicit discussion by looking at dimensions. The consider correspond some interaction Lagrangian P(