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counterterm

counterterm

9.9
Something added to an equation in physics or math to cancel infinite parts
  • noun
  • /ˈkaʊntərˌtɜrm/
  • Specialized
translation icon : contratermino
  • In quantum field theory, a counterterm is used to cancel divergences in calculations.
  • collinear counterterm

So with all the right symmetry, essentially this is the only condition those counterterms should satisfy.

Examples

  • So with all the right symmetry, essentially this is the only condition those counterterms should satisfy.

  • The divergent piece in even dimensions can be absorbed by counterterms (including certain higher-derivative operators in Formula omitted).

    Academic text (2018)
  • Through this counterterm, a dependence on the factorization scale enters.

    Academic text (2018)
  • Some of these operators appear as counterterms in even dimension. Formula omitted, in which case the remaining finite contribution is what we consider here.

    Academic text (2018)
  • The reader can refer to Appendix A for more details about the counterterms in the cut-off regularization scheme.

    Academic text (2018)
  • The integrated subtraction terms, together with the collinear counterterm, are commonly reorganized into Formula omitted and Formula omitted operators through the following identification.

    Academic text (2018)
  • In order to arrive at a finite result in the omitted formula, cf. Eq. (2.2), the real emission correction and the collinear counterterms are added.

    Academic text (2018)
  • To ensure accurate predictions, physicists include a counterterm for the effects of higher energy fluctuations.

  • The renormalization process often requires adjusting counterterms to eliminate infinite contributions.

Surface Forms

counterterm singular
counterterms plural

Morphology

counterterm = term (semi-transparent) = counter + term

Form is clearly 'counter' + 'term', but the specific technical function in renormalization (cancelling infinite contributions) requires domain knowledge beyond basic compositional inference.

Etymology

Counterterm comes from the parts counter ('against' or 'opposite') and term ('word' or 'part'). In physics and math a counterterm is a part you add that works 'against' an unwanted infinite or very large piece, so it cancels the problem.