The two-point integrals contributing to the self-energy of a particle in a three-dimensional quantum field theory are calculated to two-loop order in perturbation theory as well as the vacuum ones contributing to the effective potential to three-loop order. For almost every integral an expression in terms of elementary and dilogarithm functions is obtained. For two integrals, the master integral and the Mercedes integral, a one-dimensional integral representation is obtained with an integrand consisting only of elementary functions. The results are applied to a scalar λφ4 theory.
Nuclear Physics B
- Pub Date:
- February 1996
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- 29 pages, latex, 7 figures drawn with feynMF package, added an erratum file published in NPB513(1998)761 (single copies can be downloaded and printed for the reader's personal research and study, see http://www.elsevier.com/locate/nuclphysb)