Another formulation of the Wick’s theorem. Farewell, pairing?

Igor V. Beloussov 1
  • 1 Institute of Applied Physics, Academy of Sciences of Moldova, 5 Academy Str., Kishinev, 2028, Republic of Moldova

Abstract

The algebraic formulation of Wick’s theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed. Each element of the matrix is the average of the chronological product of only two operators. This formulation is extremely convenient for practical calculations in quantum field theory, statistical physics, and quantum chemistry by the standard packages of the well known computer algebra systems.

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