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First results for the Coulomb gauge integrals using NDIM

  • A.T. Suzuki
  • A.G.M. Schmidt
Theoretical physics

Abstract.

The Coulomb gauge has at least two advantages over other gauge choices in that bound states between quarks and studies of confinement are easier to understand in this gauge. However, perturbative calculations, namely Feynman loop integrations, are not well defined (there are the so-called energy integrals) even within the context of dimensional regularization. Leibbrandt and Williams proposed a possible cure to such a problem by splitting the space-time dimension into \(D=\omega+\rho\), i.e., introducing a specific parameter \(\rho\) to regulate the energy integrals. The aim of our work is to apply the negative dimensional integration method (NDIM) to the Coulomb gauge integrals using the recipe of split-dimension parameters and present complete results – finite and divergent parts – to the one- and two-loop level for arbitrary exponents of the propagators and dimension.

Keywords

Integration Method Specific Parameter Complete Result Dimensional Regularization Perturbative Calculation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • A.T. Suzuki
    • 1
  • A.G.M. Schmidt
    • 1
  1. 1.Instituto de Física Teórica, Universidade Estadual Paulista, R. Pamplona, 145 S ao Paulo – SP CEP 01405-900 Brazil BR

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