A vanishing theorem for supersymmetric quantum field theory and finite size effects in multiphase cluster expansions

DOI10.1007/BF02100286zbMath0756.46044MaRDI QIDQ1182201

Steven A. Janowsky, Jonathan Weitsman

Publication date: 28 June 1992

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

zbMATH Keywords

vanishing theoremsuperchargedimension of the kernel of the Hamiltonianindex of the superchargeregion of convergence of the cluster expansiontwo space-time dimensionsWess-Zumino models in finite volume

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of functional analysis in quantum physics (46N50)

Related Items (4)

Finite-size scaling and surface tension from effective one dimensional systems ⋮ Boundary value contact acoustic problems ⋮ Construction of Kink Sectors for Two-Dimensional Quantum Field Theory Models – An Algebraic Approach ⋮ Vacuum geometry of the \(N=2\) Wess-Zumino model

Cites Work

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• Index of a family of Dirac operators on loop space
• The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields
• The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder
• A priori estimates for \(N=2\) Wess-Zumino models on a cylinder
• A unified approach to phase diagrams in field theory and statistical mechanics
• Space-dependent Dirac operators and effective quantum field theory for fermions
• Finite-size scaling and surface tension from effective one dimensional systems

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