The article by van de Ven (1998 Class. Quantum Grav. 15 2311–44), is one of the fundamental references for higher-order heat kernel coefficients in curved backgrounds and with non-Abelian gauge connections. In this manuscript, we point out two errors and ambiguities in the a 5 coefficient, which may also affect the higher-order ones.
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S. A. Franchino-Viñas (2024) studied this question.
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