The Use of Operator Regularization in the Computation of Effective Field Theories
Jeffrey Michael Hersh · ODU Digital Commons (Old Dominion University) · 1997
Current methods of computing low-energy effective field theories while being accurate are extremely cumbersome co implement. Operator regularization provides a way to calculate any desired effective field theory avoiding the tediousness of previous methods. This technique is shown to be an effective method in explicitly calculating the 1/mheavy corrections that match an original full theory to its low-energy effective counterpart. This is demonstrated up to two loop order for the case of a charged two field θ{4}{4} theory as well as up to one loop order for the Higgs sector of the Minimal Supersymmetric Model. Additionally, the renormalization group functions for the θ{4}{4} model are calculated from the finite parts of the Greens functions.