Operator Mixing and the BMN Correspondence | Zendy

Neil R. Constable | Zendy; Daniel Z. Freedman | Zendy; Matthew Headrick | Zendy; Shiraz Minwalla | Zendy

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Operator Mixing and the BMN Correspondence

Author(s) -

Neil R. Constable,

Daniel Z. Freedman,

Matthew Headrick,

Shiraz Minwalla

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/10/068

Subject(s) - mixing (physics) , operator (biology) , degenerate energy levels , string (physics) , mathematical physics , trace (psycholinguistics) , string theory , matrix (chemical analysis) , physics , field theory (psychology) , field (mathematics) , theoretical physics , order (exchange) , mathematics , quantum mechanics , pure mathematics , biochemistry , chemistry , linguistics , philosophy , materials science , finance , repressor , composite material , transcription factor , economics , gene

In this note we update the discussion of the BMN correspondence and stringinteractions in hep-th/0205089 to incorporate the effects of operator mixing.We diagonalize the matrix of two point functions of single and double traceoperators, and compute the eigen-operators and their anomalous dimensions toorder g_2^2 \lambda'. Surprisingly, operators in different R symmetrymultiplets remain degenerate at this order. We also calculate the correspondingenergy shifts in string theory, and find a discrepancy with field theoryresults, indicating possible new effects in light-cone string field theory.Comment: 18pp. Harvmac. v2: Explanation of degeneracy added to end of section 2, minor correction

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