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13 papers · 1 filter
Quantum anomalies and some recent developments
Kazuo Fujikawa
Some of the developments related to quantum anomalies and path integrals during the past 10 years are briefly discussed. The covered subjects include the issues related to the loca…
Canonical Formalism for a 2n-Dimensional Model with Topological Mass Generation
Shinichi Deguchi
The four-dimensional model with topological mass generation that was found by Dvali, Jackiw and Pi has recently been generalized to any even number of dimensions (2n-dimensions) in…
Ward Identities in the Derivation of Hawking Radiation from Anomalies
Koichiro Umetsu
Robinson and Wilczek suggested a new method of deriving Hawking radiation by the consideration of anomalies. The basic idea of their approach is that the flux of Hawking radiation…
Non-hermitian radial momentum operator and path integrals in polar coordinates
Kazuo Fujikawa
A salient feature of the Schrödinger equation is that the classical radial momentum term in polar coordinates is replaced by the operator $\hat{P}^{\dagger}_{r} \hat{P}…
Geometric phase and chiral anomaly; their basic differences
Kazuo Fujikawa
All the geometric phases are shown to be topologically trivial by using the second quantized formulation. The exact hidden local symmetry in the Schrödinger equation, which was hit…
2n-Dimensional Models with Topological Mass Generation
Shinichi Deguchi, Satoshi Hayakawa
The 4-dimensional model with topological mass generation that has recently been presented by Dvali, Jackiw and Pi [G. Dvali, R. Jackiw, and S.-Y. Pi, Phys. Rev. Lett. 96, 081602 (2…