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Projective limits in Euclidean quantum field theory, II: Abelian gauge theory
Svetoslav Zahariev
We present two constructions of continuum and thermodynamic limits of Abelian polyhedral gauge theories in arbitrary spacetime dimension. The first construction relies on the exist…
Projective limits in Euclidean quantum field theory, I: Free scalar fields
Svetoslav Zahariev
We present two constructions of projective systems of measures associated to discretizations of free scalar Euclidean quantum fields. The first one is obtained using only purely co…
Set-indexed random fields and algebraic Euclidean quantum field theory
Svetoslav Zahariev
We present a construction of non-Gaussian Borel measures on the space of continuous functions defined on the space of all balls in Euclidean space of arbitrary dimension. These mea…
Infinite volume limits in Euclidean quantum field theory via stereographic projection
Svetoslav Zahariev
We present a general infinite volume limit construction of probability measures obeying the Glimm-Jaffe axioms of Euclidean quantum field theory in arbitrary space-time dimension.…
Measures on Hilbert-Schmidt operators and algebraic quantum field theory
Svetoslav Zahariev
We present a general construction of non-Gaussian probability measures on the space of distributional kernels obeying a natural extension of the Osterwalder-Schrader axioms of Eucl…
Curved -algebras and gauge theory
Svetoslav Zahariev
We propose a general notion of algebraic gauge theory obtained via extracting the main properties of classical gauge theory. Building on a recent work on transferring curved $A_{\i…