The renormalization flow, spaces of two-dimensional field theories, and Connes' geometry

DOI10.1007/BF01223206zbMath0687.46046OpenAlexW2101701029MaRDI QIDQ1263053

Vipul Periwal

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223206

zbMATH Keywords

beta functionstring theoryoperator product expansionConnes' non-commutative geometrylocal renormalization flowrelative entropy between two renormalization flow trajectories

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of selfadjoint operator algebras to physics (46L60) Applications of global differential geometry to the sciences (53C80)

Cites Work

• Nonlinear models in \(2+\epsilon\) dimensions
• Dynamical entropy of C *-algebras and von Neumann algebras
• Infinite conformal symmetry in two-dimensional quantum field theory
• An Algebraic Approach to Quantum Field Theory
• Quantum Electrodynamics at Small Distances
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