Strong ellipticity and spectral properties of chiral bag boundary conditions

Abstract

We prove strong ellipticity of chiral bag boundary conditions on even dimensional manifolds. From a knowledge of the heat kernel in an infinite cylinder, some basic properties of the zeta function are analyzed on cylindrical product manifolds of arbitrary even dimension.

arXiv comment16 pages, LaTeX, References added

References in corpus (13)

• Gauge theories on manifolds with boundary
• Gauge Theories in a Bag
• Antisymmetric tensor fields on spheres: functional determinants and non--local counterterms
• The $a_{3/2}$ heat kernel coefficient for oblique boundary conditions
• Heat Kernel Coefficients for Chern-Simons Boundary Conditions in QED
• Aspects of Quasi-Phasestructure of the Schwinger Model on a Cylinder with Broken Chiral Symmetry
• Chiral bag boundary conditions on the ball
• Zeta function for the Laplace operator acting on forms in a ball with gauge boundary conditions
• Spectral asymmetry for bag boundary conditions
• Chern-Simons Hadronic Bag from Quenched Large-N QCD
• Heat kernel asymptotics: more special case calculations
• Finite Temperature Schwinger Model with Chirality Breaking Boundary Conditions
• Analytical solution of the dynamical spherical MIT bag

Cited by in corpus (13)

• Chiral anomaly for local boundary conditions
• Spectral action for torsion with and without boundaries
• Finite temperature properties of the Dirac operator under local boundary conditions
• Stability theorems for chiral bag boundary conditions
• Heat kernel coefficients for chiral bag boundary conditions
• Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals
• On a spin conformal invariant on manifolds with boundary
• Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
• Anomaly inflow for local boundary conditions
• Edge states and the $\eta$ invariant
• Chiral magnetic effect at finite temperature in a field-theoretic approach
• Eta invariants with spectral boundary conditions
• Finite temperature properties of the Dirac operator with bag boundary conditions