Dimensional renormalization of sealar field theory in curved space-time: Lowell S. Brown, Institute for Advanced Study, Princeton, New Jersey 08540; and John C. Collins, Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 86 KB
• Volume: 129
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(80)90399-1

✦ Synopsis

Consider -A + XV with V short range at a value &, where some eigenvalue e(h) -0 as X L h, ' We analyze two questions: (i) What is the leading order of e(h), i.e., for what 4 does e(X) N c(X-&,)a? (ii) Is e(X) analytic at X = &, and, if not, what is the natural expansion parameter? The results are highly dimension dependent.