Quantum field theory on fractal spacetime: a new regularisation method
K Svozil - Journal of Physics A: Mathematical and General, 1987 - iopscience.iop.org
Journal of Physics A: Mathematical and General, 1987•iopscience.iop.org
Spacetime is modelled as a fractal subset of R n. Analysis on homogeneous sets with non-
integer Hausdorff dimensions is applied to the low-order perturbative renormalisation of
quantum electrodynamics. This new regularisation method implements the Dirac matrices
and tensors in R 4 without difficulties, is gauge invariant, covariant and differs from
dimensional regularisation in some aspects.
integer Hausdorff dimensions is applied to the low-order perturbative renormalisation of
quantum electrodynamics. This new regularisation method implements the Dirac matrices
and tensors in R 4 without difficulties, is gauge invariant, covariant and differs from
dimensional regularisation in some aspects.
Abstract
Spacetime is modelled as a fractal subset of R n. Analysis on homogeneous sets with non-integer Hausdorff dimensions is applied to the low-order perturbative renormalisation of quantum electrodynamics. This new regularisation method implements the Dirac matrices and tensors in R 4 without difficulties, is gauge invariant, covariant and differs from dimensional regularisation in some aspects.
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