The β function for a scalar field theory describes the dependence of the coupling constant on the renormalization mass scale. This dependence is affected by the choice of regularization scheme. I explicitly relate the β functions of momentum cut-off regularization and dimensional regularization on scalar field theories by a gauge transformation using the Hopf algebras of the Feynman diagrams of the theories
We compute the two-loop β-function of scalar and spinorial quantum electrodynamics as well as pure ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
The β function for a scalar field theory describes the dependence of the coupling constant on the re...
The β function for a scalar field theory describes the dependence of the coupling constant on the re...
The exact renormalization group (ERG) is formulated implementing the decimation of degrees of freedo...
A Lorentz and gauge symmetry preserving regularization method is discussed in four dimension based o...
The two-loop Yukawa coupling constant renormalization and the mass renormalization of the fermion fo...
The two-loop Yukawa coupling constant renormalization and the mass renormalization of the fermion fo...
Through a two loop self-energy diagram in massive $\lambda\phi^4$ theory, we demonstrated that the e...
Abstract: We showed in Part I that the Hopf algebra H of Feynman graphs in a given QFT is the algebr...
The role of dimensional regularization is discussed and compared with that of cut-off regularization...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
We compute the two-loop β-function of scalar and spinorial quantum electrodynamics as well as pure ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
The β function for a scalar field theory describes the dependence of the coupling constant on the re...
The β function for a scalar field theory describes the dependence of the coupling constant on the re...
The exact renormalization group (ERG) is formulated implementing the decimation of degrees of freedo...
A Lorentz and gauge symmetry preserving regularization method is discussed in four dimension based o...
The two-loop Yukawa coupling constant renormalization and the mass renormalization of the fermion fo...
The two-loop Yukawa coupling constant renormalization and the mass renormalization of the fermion fo...
Through a two loop self-energy diagram in massive $\lambda\phi^4$ theory, we demonstrated that the e...
Abstract: We showed in Part I that the Hopf algebra H of Feynman graphs in a given QFT is the algebr...
The role of dimensional regularization is discussed and compared with that of cut-off regularization...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
We compute the two-loop β-function of scalar and spinorial quantum electrodynamics as well as pure ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...
International audienceStarting from a well-defined local Lagrangian, we analyze the renormalization ...