On the Hopf algebraic origin of Wick normal ordering

Jul, 2000
14 pages
Published in:
  • J.Phys.A 34 (2001) 105-116
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Abstract:
A combinatorial formula of G.-C. Rota and J.A. Stein is taken to perform Wick re-ordering in quantum field theory. Wick's theorem becomes a Hopf algebraic identity called Cliffordization. The combinatorial method relying on Hopf algebras is highly efficient in computations and yields closed algebraic expressions. AMS Subject Classifications 2000: 81R50; 16W30
Note:
  • 14 pages, 3 Figures
  • axiomatic field theory
  • Hamiltonian formalism
  • operator: algebra
  • algebra: Hopf
  • algebra: Clifford