A priori estimates for \(N=2\) Wess-Zumino models on a cylinder

DOI10.1007/BF01229455zbMath0662.35095OpenAlexW2032057521MaRDI QIDQ1113386

Andrzej Lesniewski, Arthur Jaffe

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01229455

zbMATH Keywords

existencea priori estimatesHamiltonianestimatesboundsultraviolet cutoffsuperchargeelliptic regularityWess-Zumino models

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) A priori estimates in context of PDEs (35B45) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields, Quantum K-theory. I: The Chern character, The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder, A priori quantum field equations, Supersymmetry and the spectral condition on a cylinder, Deformations of super-KMS functionals, Space-dependent Dirac operators and effective quantum field theory for fermions, A vanishing theorem for supersymmetric quantum field theory and finite size effects in multiphase cluster expansions, A general class of infinite dimensional Dirac operators and path integral representation of their index, Stochastic Wess-Zumino-Witten model over a symplectic manifold, Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory, Sphalerons and instantons in two-dimensional field theory, Local rings of singularities and \(N=2\) supersymmetric quantum mechanics, Heat kernel regularization of quantum fields, Construction of Kink Sectors for Two-Dimensional Quantum Field Theory Models – An Algebraic Approach, The supersymmetric sigma model, topological quantum mechanics and knot invariants, The phase structure of the two-dimensional \(N=2\) Wess-Zumino model, Vacuum geometry of the \(N=2\) Wess-Zumino model

Cites Work

• Ground state structure in supersymmetric quantum mechanics
• Index of a family of Dirac operators on loop space
• The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder
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