Physics NotePublished
Dimensional Regularization in Configuration Space
Carlos Guido Bollini; J. J. Giambiagi
1995
Publication details
- Authors
- Carlos Guido Bollini; J. J. Giambiagi
- Type
- Physics Note
- Status
- Published
- Publication date
- 1995
- Description
- Dimensional regularization is introduced in configuration space by Fourier transforming in D-dimensions the perturbative momentum space Green functions. For this transformation, Bochner theorem is used, no extra parameters, such as those of Feynman or Bogoliubov-Shirkov are needed for convolutions. The regularized causal functions in xspace have <math>\nu\!\,</math>-dependent moderated singularities at the origin. They can be multiplied together and Fourier transformed (Bochner) without divergence problems. The usual ultraviolet divergences appear as poles of the resultant analytic functions of <math>\nu\!\,</math>. Several example are discussed.
- Year
- 1995
- Number
- CBPF-NF-065/95
- Linked to a thesis
- No
- Linked to a grant
- No