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Classical and quantum instantons in Yang-Mills theory in the background of de Sitter space-time

Title
Classical and quantum instantons in Yang-Mills theory in the background of de Sitter space-time
Authors
Kim H.Kim S.K.
Ewha Authors
김성구
SCOPUS Author ID
김성구scopusscopus
Issue Date
1999
Journal Title
Nuovo Cimento della Societa Italiana di Fisica B
ISSN
0369-3554JCR Link
Citation
vol. 114, no. 2, pp. 207 - 233
Indexed
SCOPUS WOS scopus
Abstract
Instantons and their quantisation in pure Yang-Mills theory formulated in the background of de Sitter space-time represented by spatially closed (k = +1) Friedmann-Robertson-Walker metric are discussed. First, explicit instanton solutions are found and next, quantities like Pontryagin index and the semi-classical approximation to the intervacua tunnelling amplitude are evaluated. The Atiyah-Patodi-Singer index theorem is checked as well by constructing explicitly the normalizable fermion zero modes in this de Sitter space-time instanton background. Finally, following the kink quantisation scheme originally proposed by Dashen, Hasslacher and Neveu, the quantisation of our instanton is performed. Of particular interest is the estimate of the lowest quantum correction to the intervacua tunnelling amplitude arising from the quantisation of the instanton. It turns out that the intervacua tunnelling amplitude gets enhanced upon quantizing the instanton. PACS 11.10.Cd - Axiomatic approach. PACS 11.15 Gauge field theories. PACS 11.20.Cv - Fundamental problems and general formalism.
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자연과학대학 > 물리학전공 > Journal papers
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