Renormalization scheme dependence with renormalization group summation

Renormalization-scheme dependence of Padé summation in QCD.

We study the renormalization-scheme (RS) dependence of Padé Approximants (PA’s), and compare them with the Principle of Minimal Sensitivity (PMS) and the Effective Charge (ECH) approaches. Although the formulae provided by the PA, PMS and ECH predictions for higher-order terms in a QCD perturbation expansion differ in general, their predictions can be very close numerically for a wide range of ...

Renormalization Scheme Dependence

The running couplings such as λ(E) depend not only on the energy scale E but also on the specific rules we use to fix the finite parts of δλ(E) and other counterterms. If we change those rules — collectively known as the renormalization scheme — then for the same energy scale E we would get a slightly different running coupling λ(E) 6= λ(E). The difference is due to quantum corrections which us...

Renormalization Scheme Dependence

The running couplings such as λ(E) depend not only on the energy scale E, but also on the specific rules we use to fix the finite parts of the δλ(E) and other counterterms. If we change those rules — collectively known as the renormalization scheme — then for the same energy scale E we would get a slightly different running coupling λ(E) 6= λ(E). The difference is due to quantum corrections whi...

On scheme dependence of gravitational dressing of renormalization group functions

It is shown that for 2D field theories only the first order coefficient of the gravitationally dressed RG β-function is scheme independent. This is valid even for matter theories with one dimensionless coupling, where the first two coefficients of the original β-function are scheme independent.

Renormalization Group Renormalization Group