Examples of q-regularization

Details Examples of q-regularization Examples of q-regularization

1995-08-04

arxiv.org/abs/hep-th/9508019v1

Int.J.Theor.Phys. 34 (1995) 2179-2194

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTex, to be published in IJTP 1995.11

Scientific paper

10.1007/BF00673834

An Introduction to Hopf algebras as a tool for the regularization of relavent quantities in quantum field theory is given. We deform algebraic spaces by introducing q as a regulator of a non-commutative and non-cocommutative Hopf algebra. Relevant quantities are finite provided q\neq 1 and diverge in the limit q\rightarrow 1. We discuss q-regularization on different q-deformed spaces for \lambda\phi^4 theory as example to illustrate the idea.

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