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arXiv · hep-th/0607182

Dirac Sea and Hole Theory for Bosons II -- Renormalization Approach --

Yoshinobu Habara·Yukinori Nagatani·Holger B. Nielsen·Masao Ninomiya
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Abstract

In bosonic formulation of the negative energy sea, so called Dirac sea presented in the preceding paper [arXiv:hep-th/0603242], one of the crucial points is how to construct a positive definite inner product in the negative energy states, since naive attempts would lead to non-positive definite ones. In the preceding paper the non-local method is used to define the positive definite inner product. In the present article we make use of a kind of $ε$-regularization and renormalization method which may clarify transparently the analytical properties of our formulation.

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Yoshinobu Habara, Yukinori Nagatani, Holger B. Nielsen, Masao Ninomiya. 2007-02-26. Dirac Sea and Hole Theory for Bosons II -- Renormalization Approach --. https://doi.org/10.1142/s0217751x08040354

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