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

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

10 pages, 2 figures; Section 4 is inserted

References in corpus (5)

• Dirac Sea for Bosons I -- Formulation of Negative Energy Sea for Bosons
• Dirac Sea for Bosons II -- Study of the Naive Vacuum Theory for the Playground World Prior to Filling the Negative Energy Sea --
• Boson Sea versus Dirac Sea -- General formulation of boson sea through supersymmetry --
• Dirac Sea and Hole Theory for Bosons I -- A new formulation of quantum field theories --
• Dirac Sea for Bosons

Cited by in corpus (3)

• Dirac Sea and Hole Theory for Bosons I -- A new formulation of quantum field theories --
• Combining The Tunneling And Anomaly Phenomena In Deriving the Gravitational Anomaly
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions