Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-11-05
Bulg. J. Phys. 35 s1 (2008) 113-124
Physics
High Energy Physics
High Energy Physics - Theory
12 pages
Scientific paper
Imposing Huygens' Principle in a 4D Wightman QFT puts strong constraints on its algebraic and analytic structure. These are best understood in terms of ``biharmonic fields'', whose properties reflect the presence of infinitely many conserved tensor currents. In particular, a universal third-order partial differential equation is derived for the most singular parts of connected scalar correlation functions. This PDE gives rise to novel restrictions on the pole structure of higher correlation functions. An example of a six-point function is presented that cannot arise from free fields. This example is exploited to study the locality properties of biharmonic fields.
Nikolov Nikolay M.
Rehren Karl-Henning
Todorov Ivan
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