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Vacuum Expectation Values of Some Exponential Operators
Author(s) -
R. J. Blomer
Publication year - 1970
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.44.590
Subject(s) - physics , generalization , series (stratigraphy) , exponential function , divergent series , power series , representation (politics) , matrix (chemical analysis) , formal power series , mathematical physics , pure mathematics , mathematical analysis , mathematics , law , paleontology , summation by parts , materials science , politics , political science , composite material , biology
The vacuum expectation values (VEV) of operators exp (A+ B)", n>2, where [A, B] is a c-number are given as formal (divergent) power series. A generalization of the Borel summation is used to construct from those divergent power series the VEV s in integral representation which fulfill the requirements of generalized Pade approximation. A correspondence with the S-matrix elements in the Peres model is shown.

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