COMPUTATION OF 1-LOOP CONTRIBUTIONS IN Y.M. THEORIES WITH CLASS III NONRELATIVISTIC GAUGES

A. Burnel and H. Caprasse
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A. Burnel: Institut de Physique, Université de Liège, B-4000 Sart-Tilman par Liège 1, Belgium
H. Caprasse: Institut de Physique, Université de Liège, B-4000 Sart-Tilman par Liège 1, Belgium

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 02, 321-335

Abstract: A program to compute the gluon self-energy diagram in class III nonrelativistic gauges has been constructed. It succeeded to show that axial gauges do not exhibit nonlocal counterterms. The high complexity of the calculations, the need to be able to control intermediate steps of calculations and the necessity to work inside a limited memory of a few Mbytes led us to give it special features which may serve outside the specific application for which it has been designed.The structure of the program and its salient working features are described. It is divided into four modules, which are almost independent except that they are linked by their respective output. Files containing intermediate results of calculations are automatically generated. The amount of algebraic manipulations has been greatly reduced thanks to a careful choice of the representation of the expression adapted to each stage of the calculation. The adaptative character of this program is discussed as well as the generalization it needs to cover other types of Feynman diagram calculations.

Keywords: Computer Algebra; Feynman Diagram; Gauge Field Theory (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000269

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