On the scheme dependence of gravitational beta functions - High Energy Physics - TheoryReport as inadecuate




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Abstract: We discuss the arbitrariness in the choice of cutoff scheme in calculationsof beta functions. We define a class of -pure- cutoff schemes, in which thecutoff is completely independent of the parameters that appear in the action.In a sense they are at the opposite extreme of the -spectrally adjusted-cutoffs, which depend on all the parameters that appear in the action. Wecompare the results for the beta functions of Newton-s constant and of thecosmological constant obtained with a typical cutoff and with a pure cutoff,keeping all else fixed. We find that the dependence of the fixed point on anarbitrary parameter in the pure cutoff is rather mild. We then show in generalthat if a spectrally adjusted cutoff produces a fixed point, there is acorresponding pure cutoff that will give a fixed point in the same position.



Author: Gaurav Narain, Roberto Percacci

Source: https://arxiv.org/







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