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Exponential Renormalization II: Bogoliubov's R-operation and momentum subtraction schemes
- Source :
- J. Math. Phys., 53, 083505 (2012)
- Publication Year :
- 2011
-
Abstract
- This article aims at advancing the recently introduced exponential method for renormalisation in perturbative quantum field theory. It is shown that this new procedure provides a meaningful recursive scheme in the context of the algebraic and group theoretical approach to renormalisation. In particular, we describe in detail a Hopf algebraic formulation of Bogoliubov's classical R-operation and counterterm recursion in the context of momentum subtraction schemes. This approach allows us to propose an algebraic classification of different subtraction schemes. Our results shed light on the peculiar algebraic role played by the degrees of Taylor jet expansions, especially the notion of minimal subtraction and oversubtractions.<br />Comment: revised version
- Subjects :
- Mathematical Physics
High Energy Physics - Theory
Mathematics - Rings and Algebras
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Math. Phys., 53, 083505 (2012)
- Publication Type :
- Report
- Accession number :
- edsarx.1104.3415
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/1.4742185