Heat-kernel coefficients for oblique boundary conditions
نویسندگان
چکیده
منابع مشابه
Heat Kernel Coefficients for Chiral Bag Boundary Conditions
We study the asymptotic expansion of the smeared L-trace of f e 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 ζand η-invariants are used to obtain the boundary part of the heat-kernel coefficients a1 and a2.
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We consider the four dimensional Euclidean Maxwell theory with a Chern–Simons term on the boundary. The corresponding gauge invariant boundary conditions become dependent on tangential derivatives. Taking the four-sphere as a particular example, we calculate explicitly a number of the first heat kernel coefficients and obtain the general formulas that yields any desired coefficient. A remarkabl...
متن کاملfür Mathematik in den Naturwissenschaften Leipzig Heat kernel coefficients for chiral bag boundary conditions
We study the asymptotic expansion of the smeared L2-trace of f e−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 ζand η-invariants are used to obtain the boundary part of the heat-kernel coefficients a1 and a2.
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The high temperature asymptotics of the Helmholtz free energy of electromagnetic field subjected to boundary conditions with spherical and cylindrical symmetries are constructed by making use of a general expansion in terms of heat kernel coefficients and the related determinant. For this, some new heat kernel coefficients and determinants had to be calculated for the boundary conditions under ...
متن کاملar X iv : h ep - t h / 97 06 12 9 v 2 2 3 Ju n 19 97 Heat - kernel coefficients for oblique boundary conditions
We calculate the heat-kernel coefficients, up to a 2 , for a U(1) bundle on the 4-Ball for boundary conditions which are such that the normal derivative of the field at the boundary is related to a first-order operator in boundary derivatives acting on the field. The results are used to place restrictions on the general forms of the coefficients. In the specific case considered, there can be a ...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1997
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/14/9/004