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

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

2006-07-24

arxiv.org/abs/hep-th/0607182v2

Int.J.Mod.Phys.A23:2771-2781,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures; Section 4 is inserted

Scientific paper

10.1142/S0217751X08040354

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 $\epsilon$-regularization and renormalization method which may clarify transparently the analytical properties of our formulation.

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