Simpler-Wick

Simpler-wick is a LaTeX package designed to simplify the process of typesetting Wick contractions in mathematical expressions. It offers an concise syntax for representing contractions between operators, automating the placement of contraction lines and eliminating the need for manual adjustments.

Wick’s theorem is a method of reducing high-order derivatives to a combinatoric problem and is used to reduce arbitrarily large products of creation and annihilation operators into a sum of normal ordered pairs thereby allowing for the application of Green’s functions.

The syntax is designed to be simple and intuitive, with the enclosing \wick command wrapping around the equations, and \cN (with N being a number) being used to mark pairs of operators to be contracted:

latex
	\begin{equation}
	  \wick{\c1 A \c2 \phi \c2 \phi \c1 A}
	\end{equation}

All the documentation can be found in simpler-wick.pdf.

© 2023 Joshua P. Ellis
This work is licensed under CC BY 4.0