Weighting bubbles in group field theory
| Autor: | Razvan Gurau, Aristide Baratin, Laurent Freidel |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Pure mathematics Semisimple algebra FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Weighting symbols.namesake Amplitude High Energy Physics - Theory (hep-th) Group field theory Quantum mechanics Homogeneous space symbols Feynman diagram Algebraic number Associative property |
| Zdroj: | Physical Review D. 90 |
| ISSN: | 1550-2368 1550-7998 |
| DOI: | 10.1103/physrevd.90.024069 |
| Popis: | Group field theories (GFT) are higher dimensional generalizations of matrix models whose Feynman diagrams are dual to triangulations. Here we propose a modification of GFT models that includes extra field indices keeping track of the bubbles of the graphs in the Feynman evaluations. In dimension three, our model exhibits new symmetries, interpreted as the action of the vertex translations of the triangulation. The extra field indices have an elegant algebraic interpretation: they encode the structure of a semi-simple algebra. Remarkably, when the algebra is chosen to be associative, the new structure contributes a topological invariant from each bubble of the graph to the Feynman amplitudes. 19 pages, 6 figures. Title changed; to appear in PRD |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|