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19912023
most citedNoncommutative Geometry and Matrix Theory: Compactification on Tori

1.4k citations · 4.6k across the 75 of their papers we have counts for

collaborators

77 papers

hep-th2023

Singularities of scattering matrix

Albert Schwarz

Our main result is the analysis of singularities of integrands of integrals representing matrix elements of scattering matrix and inclusive scattering matrix in perturbation theory…

math.DG2023★ 1 cited

Super Riemann surfaces and fatgraphs

Albert S. Schwarz, Anton M. Zeitlin

Our goal is to describe superconformal structures on super Riemann surfaces (SRS), based on data assigned to a fatgraph. We start from the complex structures on punctured -s…

hep-th2023

Functional integrals in geometric approach to quantum theory

Igor Frolov, Albert Schwarz

In quantum mechanics, one can express the evolution operator and other quantities in terms of functional integrals. The main goal of this paper is to prove corresponding results in…

hep-th2023

Asymptotic commutativity in Jordan algebras

Albert Schwarz

We estimate commutators of quadratic operators in Jordan algebras. These estimates can be used to construct the scattering theory in quantum fields theories formulated in ter…

hep-th2023

Scattering in algebraic approach to quantum theory. Jordan algebras

Albert Schwarz

Using geometric approach we formulate quantum theory in terms of Jordan algebras. We analyze the notion of (quasi)particle (=elementary excitation of translation-invariant stationa…

hep-th2021

Scattering in geometric approach to quantum theory

Albert Schwarz

We define inclusive scattering matrix in the framework of geometric approach to quantum field theory . We review the definitions of scattering theory in the algebraic approach and…