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A new perturbative approximation applied to supersymmetric quantum field theory |
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| Affiliation: | 1. Department of Physics, University of Arizona, Tucson, AZ 85721, USA;1. Laboratoire de Physique des Lasers, Atomes et Molecules, UMR-CNRS 8523, Université de Lille, France;2. Dipartimento di Fisica, Università degli Studi di Torino, 10125 Torino, Italy;3. Istituto Nazionale di Fisica Nucleare, INFN, Sezione di Torino, 10125 Torino, Italy;1. School of Mathematics, University of Leeds, LS2 9JT, UK;2. Laboratoire Charles Coulomb (L2C), Univ Montpellier, CNRS, Montpellier, France;3. Centre de Recherches Mathématiques, Université de Montréal, Montréal (QC), Canada;4. Institut Denis-Poisson - Université de Tours - Université d''Orléans, Tours, France |
| Abstract: | We show that a recently proposed graphical perturbative calculational scheme in quantum field theory is consistent with global supersymmetry invariance. We examine a two-dimensional supersymmetric quantum field theory in which we do not know of any other means for doing analytical calculations. We illustrate the power of this new technique by computing the ground-state energy density E to second order in this new perturbation theory. We show that there is a beautiful and delicate cancellation between infinite classes of graphs which leads to the result that E=0. |
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