The index of scattering operators of Dirac equations

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A new index formula of Atiyah Singer type for scattering operators is proved. The index corresponds to the vacuum polarization of the Fermion (on the Minkowski space) coupled to an external non abelian gauge field.

Original languageEnglish
Pages (from-to)553-571
Number of pages19
JournalCommunications in Mathematical Physics
Volume110
Issue number4
DOIs
Publication statusPublished - Dec 1 1987
Externally publishedYes

Fingerprint

Scattering Operator
Dirac Equation
Dirac equation
operators
Michael Francis Atiyah
Minkowski space
Minkowski Space
Gauge Field
scattering
Fermions
Vacuum
Polarization
fermions
vacuum
polarization

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

The index of scattering operators of Dirac equations. / Matsui, Taku.

In: Communications in Mathematical Physics, Vol. 110, No. 4, 01.12.1987, p. 553-571.

Research output: Contribution to journalArticle

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