Tree quantum field theory
We propose a new formalism for quantum field theory (QFT) which is neither based on functional integrals, nor on Feynman graphs, but on marked trees. This formalism is constructive, i.e., it computes correlation functions through convergent rather than divergent expansions. It applies both to Fermio...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
July 25, 2009
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| In: |
Annales Henri Poincaré
Year: 2009, Volume: 10, Issue: 5, Pages: 867-891 |
| ISSN: | 1424-0661 |
| DOI: | 10.1007/s00023-009-0002-2 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00023-009-0002-2
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| Author Notes: | Razvan Gurau, Jacques Magnen and Vincent Rivasseau |
| Summary: | We propose a new formalism for quantum field theory (QFT) which is neither based on functional integrals, nor on Feynman graphs, but on marked trees. This formalism is constructive, i.e., it computes correlation functions through convergent rather than divergent expansions. It applies both to Fermionic and Bosonic theories. It is compatible with the renormalization group, and it allows to define non-perturbatively differential renormalization group equations. It accommodates any general stable polynomial Lagrangian. It can equally well treat noncommutative models or matrix models such as the Grosse-Wulkenhaar model. Perhaps most importantly it removes the space-time background from its central place in QFT, paving the way for a non-perturbative definition of field theory in non-integer dimension. |
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| Item Description: | Gesehen am 29.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1424-0661 |
| DOI: | 10.1007/s00023-009-0002-2 |