PT-symmetric interpretation of double scaling

Moshe Moshe, Carl Bender, Sarben Sarkar

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


The conventional double-scaling limit of an O(N)-symmetric quartic quantum field theory is inconsistent because the critical coupling constant is negative. Thus, at the critical coupling the Lagrangian defines a quantum theory with an upside-down potential whose energy appears to be unbounded below. Worse yet, the integral representation of the partition function of the theory does not exist. It is shown that one can avoid these difficulties if one replaces the original theory by its -symmetric analog. For a zero-dimensional O(N)-symmetric quartic vector model the partition function of the -symmetric analog is calculated explicitly in the double-scaling limit.
Original languageEnglish
Article number102002
JournalJournal Of Physics A-Mathematical And Theoretical
Issue number10
Early online date21 Feb 2013
Publication statusPublished - 15 Mar 2013


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