Open Research Index

mrdouglasny/OSforGFF-comparator

Sergey A. Cherkis, Michael R. Douglas, Sarah Hoback, Anna Mei, Ron Nissim

Palomar Registrypalomar/PALOMAR-2026-08-31-000012Aug 31, 2026hep-thscore 0

Construction of the massive Gaussian Free Field in Euclidean spacetime of any dimension d >= 2 as a probability measure on the tempered distributions S'(R^d), and a proof that it satisfies all of the Osterwalder-Schrader axioms: OS0 analyticity, OS1 regularity, OS2 Euclidean invariance, OS3 reflection positivity, and OS4 clustering and ergodicity. The OS axioms are the conditions under which a Euclidean field theory reconstructs a relativistic quantum field theory obeying the Wightman axioms, so the free field is the base case of constructive quantum field theory on which interacting…

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