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Do quantum corrections preserve R = 1 in the minimal bosonic model?
Public summary of an internal test, not yet independently validated or published.
Question investigated
Do quantum corrections preserve R = 1 in the minimal bosonic model?
Test conditions
Calculate the one-loop corrections to the constant, quadratic and quartic terms in the potential. Compare their relative changes with the proportions required by the classical relation R = 1.
Result
The one-loop corrections change the three coefficients in different proportions. The classical form of the minimal bosonic potential therefore does not protect R = 1 against these corrections.
Physical interpretation
The conclusion is restricted to the minimal bosonic model. It does not rule out extensions in which a symmetry protects the relation.