Michael Binger, North Carolina State University / INT - University of WashingtonTitle: Multiloop Diagrams in Non-Relativistic Field Theories and the Deuteron Quadrupole MomentAuthors: M. Binger (North Carolina State University)Abstract: A new method is developed to calculate multiloop Feynman diagrams in non-relativistic field theories. A consistent scheme for regularizing and renormalizing loop integrals is established and shown to reproduce the results of dimensional regularization (DR) and modified minimal subtraction (MS bar) or DR and power divergence subtraction (PDS) in the cases for which DR can be used. However, significantly less effort is required to evaluate the integrals and the methods developed are easily generalized to higher order graphs. Thus, even the most complicated multiloop graph can be expressed in terms of analytic functions. The techniques are general and apply to several non-relativistic field theories, including the effective nuclear theory of Kaplan, Savage, and Wise and non-relativistic QCD (NRQCD). To illustrate the methods, the effective field theory of Kaplan, Savage, and Wise is used to calculate the quadrupole moment of the deuteron up to three loops. |