Grassmannian and chiral anomaly

DOI10.1016/S0393-0440(96)00032-0zbMath0884.58086OpenAlexW1778710386MaRDI QIDQ1362538

Franco Strocchi, Bernhelm Booss-Bavnbek, Giovanni Morchio, Krzysztof P. Wojciechowski

Publication date: 22 March 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(96)00032-0

zbMATH Keywords

elliptic boundary problemsDirac operatorquantum chromodynamicschiral symmetryAtiyah-Patodi-Singer index theoremgauge-invariance\(\gamma_ 5\)-symmetryCaldéron projectorpseudo-differential Grassmannian

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Elliptic equations on manifolds, general theory (58J05) Index theory and related fixed-point theorems on manifolds (58J20) Boundary value problems on manifolds (58J32) Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc. (35S35)

Related Items (3)

On boundary value problems for Dirac type operators. I: Regularity and self-adjointness ⋮ Chiral symmetry breaking and \(\theta\) vacuum structure in QCD ⋮ The invertible double of elliptic operators

Cites Work

• Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader
• Quantum field theory, Grassmannians, and algebraic curves
• The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary
• Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems
• Harmonic spinors
• Adiabatic cobordism theorems for analytic torsion and \(\eta\)-invariant
• The Maslov index, the spectral flow, and decompositions of manifolds
• Spectral asymmetry and Riemannian Geometry. I
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