orient 发表于 2025-3-25 05:49:01
http://reply.papertrans.cn/71/7024/702364/702364_21.pngpessimism 发表于 2025-3-25 09:02:13
Heat Equationes with examples of the heat trace for operators with known spectrum. The universal form of the heat trace asymptotics is stated. The rest of the Chapter is devoted to calculations of the coefficients in the asymptotic expansion (the celebrated heat kernel coefficients). First, the DeWitt method bas打火石 发表于 2025-3-25 11:59:35
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Non-linear Spectral Problems many physical applications and, in particular, in equations which determine spectra of single-particle modes. A NLSP is defined here as a linear combination of different powers of an eigenvalue multiplied by operator coefficients which do not commute to each other in general. After describing a metSTART 发表于 2025-3-25 20:21:33
http://reply.papertrans.cn/71/7024/702364/702364_25.pngouter-ear 发表于 2025-3-26 00:42:36
Quantum Anomalieslated by using spectral functions. The Chapter starts with formulation of the Noether theorems and derivation of Noether currents in a number of important examples with gauge and space-time symmetries. The following anomalies are derived by using the zeta-function techniques: axial anomaly, Einstein要素 发表于 2025-3-26 04:23:19
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Open Strings and Born-Infeld Actiontem are calculated in the presence of an external electromagnetic field by the methods of spectral theory. It is demonstrated, that these divergences vanish if the electromagnetic field satisfies equations of motion following from a non-linear action of the Born-Infeld type. By considering the Green有发明天才 发表于 2025-3-26 14:10:33
http://reply.papertrans.cn/71/7024/702364/702364_29.png摄取 发表于 2025-3-26 20:15:19
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