2017/01/31 by E. T. Tomboulis
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Causal structure #Causality (physics) #Duality (order theory) #Hermitian matrix #Noncommutative and Quantum Gravity Theories #Relation (database) #Representation (politics) #Spacetime #Unitarity #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep05(2017)148
published as JHEP05(2017)148 · 23 pages, 5 figures, typos corrected, some added references and concluding remarks, published version
openalex created_date 2017/02/10 · openalex publication_date 2017/05/01 · arxiv created 2017/06/06 · arxiv updated 2017/09/13 · openalex updated_date 2026/08/05
The tree-loop duality relation is used as a starting point to derive the constraints of causality and unitarity. Specifically, the Bogoliubov causality condition is ab initio derived at the individual graph level. It leads to a representation of a graph in terms of lower order cut graphs. Extracting the absorptive part gives then the general unitarity relation (Cutkosky rule). The derivation, being carried out directly in momentum space, holds for any local (polynomial) hermitian interaction vertices. This is in contrast to the technical difficulties arising from contact terms in the spacetime approach based on the largest time equation.