Hopf algebras in renormalisation for Encyclopædia of Mathematics
نویسنده
چکیده
Systems in interaction are most common in physics. When parameters (such as mass, electric charge, acceleration, etc.) characterising the system are considered, it is crucial to distinguish between bare parameters, which are the values they would take if the interaction were switched off, and the actually observed parameters. Renormalisation can be defined as any procedure able to transform the bare parameters into the actually observed ones (i.e. with interaction taken into account), which will therefore be called renormalised. Consider (from [CK1]) the following example: the initial acceleration of a spherical balloon is given by:
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