Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces (Q1096159)
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scientific article; zbMATH DE number 4030315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces |
scientific article; zbMATH DE number 4030315 |
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Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces (English)
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1987
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The short distance asymptotic behavior is studied for some quantities formed out of fundamental solutions of Dirac operators minimally coupled to finite dimensional matrix-valued gauge potentials on even dimensional Euclidean spaces and an explicit asymptotic formula is established for each of them. The analysis gives a mathematically rigorous proof as well as a mathematically self-consistent description to the so-called ``(Abelian) chiral anomaly'' in quantum gauge field theories.
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Abelian chiral anomaly
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short distance asymptotic behavior
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fundamental solutions of Dirac operators minimally coupled to finite dimensional matrix-valued gauge potentials on even dimensional Euclidean spaces
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explicit asymptotic formula
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quantum gauge field theories
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