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A renormalizing physical theory is a quantum field theory in which the infinities that appear in calculations can be systematically absorbed into a finite number of physical parameters – typically masses, charges, and field normalizations – so that all measurable predictions remain finite and well-defined.

Note: Not only Quantum field theories often produce divergent (infinite) quantities when you compute things like particle self-energies or interaction strengths.


Renormalization is the procedure that:
  • Identifies which parts of a calculation diverge.
  • Redefines a small set of physical quantities (mass, charge, coupling constants, etc.) to absorb those divergences.
  • Leaves behind, for all of them, finite predictions that match experiments.

A theory is called renormalizable (or "renormalizing") if this procedure requires only a finite number of redefinitions. If infinitely many parameters were needed, the theory would lose predictive power.




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