手征袋边界条件的热核系数
Heat kernel coefficients for chiral bag boundary conditions
摘要:
本文研究了fexp(-tP^2)的涂抹L2迹的渐近展开,其中P是Dirac型算子,f是用于局部化的辅助光滑涂抹函数,并施加手征袋边界条件.特殊情况下的计算,函子的方法和理论的zeta和eta不变量被用来获得热核系数a1和a2的边界部分。
英文摘要:
We study the asymptotic expansion of the smeared L2-trace of fexp(-tP^2) where P is an operator of Dirac type, f is an auxiliary smooth smearing function which is used to localize the problem, and chiral bag boundary conditions are imposed. Special case calculations, functorial methods and the theory of zeta and eta invariants are used to obtain the boundary part of the heat-kernel coefficients a1 and a2.
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