The graphical function method is an efficient tool to perform perturbative calculations in position space QFT. One reason for this efficiency is that the method utilizes the underlying conformal properties of the QFT. I will review the method and discuss some recent extensions, in a joint work with Oliver Schnetz, of the method to arbitrary even dimensions. Using these extensions we were able calculate the 5‐loop renormalization group functions in phi^3‐theory. I will also discuss applications to the calculation of critical exponents in percolation theory.
Michael Borinsky (Amsterdam): The graphical function method applied to phi^3 in D=6
Location:
TU Wien, Wiedner Hauptstr. 8, Red Area, 7th floor Seminar Room DC 07 A15
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Foto: Barbara Mair