Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system

Abstract We present a SCHOONSCHIP program for analytical computation of arbitrary massless, scalar, one-, two- and three-loop Feynman diagrams of the propagator type within dimensional regularization. The program calculates Laurent expansions of diagrams with respect to the parameter of dimensional regularization up to terms which, in particular, are sufficient to perform four-loop renormalization group calculations within the minimal subtraction scheme in four-dimensional quantum field models.

[1]  H. Strubbe,et al.  Manual for SCHOONSCHIP a CDC 6000/7000 program for symbolic evaluation of algebraic expressions , 1974 .

[2]  N. N. Bogoliubov,et al.  Introduction to the theory of quantized fields , 1960 .

[3]  A. Vladimirov,et al.  Vanishing of the three-loop charge renormalization function in a supersymmetric gauge theory , 1980 .

[4]  M. Dine,et al.  HIGHER ORDER QCD CORRECTIONS IN e+e- ANNIHILATION * , 1979 .

[5]  A. Buras,et al.  Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories , 1978 .

[6]  S. A. Larin,et al.  Coefficient functions of asymptotic operator expansions in the minimal subtraction scheme , 1987 .

[7]  L. R. Surguladze,et al.  Coefficient functions of gluon and quark condensates in QCD sum rules for light vector mesons in the two-loop approximation , 1988 .

[8]  F. Tkachov,et al.  Higher-order corrections to σtot(e+e−→ hadrons) in quantum chromodynamics , 1979 .

[9]  F. Tkachov,et al.  THE ALGORITHM FOR OPE COEFFICIENT FUNCTIONS IN THE MS SCHEME , 1983 .

[10]  D. Shirkov,et al.  Asymptotic Series of Quantum Field Theory and Their Summation , 1980, 1980.

[11]  George Leibbrandt,et al.  Introduction to the Technique of Dimensional Regularization , 1975 .

[12]  F. Tkachov A theorem on analytical calculability of 4-loop renormalization group functions , 1981 .

[13]  F. Tkachov,et al.  New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x-space technique , 1980 .

[14]  G. Hooft,et al.  Regularization and Renormalization of Gauge Fields , 1972 .

[15]  F. Tkachov,et al.  Integration by parts: The algorithm to calculate β-functions in 4 loops , 1981 .

[16]  J. Zinn-Justin Perturbation series at large orders in quantum mechanics and field theories: Application to the problem of resummation , 1981 .