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.
Description
ScienceDirect - Physics Letters B : A new perturbative approximation applied to supersymmetric quantum field theory
%0 Journal Article
%1 Bender1988493
%A Bender, Carl M.
%A Milton, Kimball A.
%A Pinsky, Stephen S.
%A Simmons, L. M.
%D 1988
%J Physics Letters B
%K D2 N1 StrongCoupling Supersymmetry
%N 4
%P 493 - 498
%R DOI: 10.1016/0370-2693(88)90984-7
%T A new perturbative approximation applied to supersymmetric quantum field theory
%U http://www.sciencedirect.com/science/article/B6TVN-470G47V-KY/2/5f70945c87cbb818ebb707e6dca095b0
%V 205
%X 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.
@article{Bender1988493,
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.},
added-at = {2009-04-16T17:43:25.000+0200},
author = {Bender, Carl M. and Milton, Kimball A. and Pinsky, Stephen S. and Simmons, L. M.},
biburl = {https://www.bibsonomy.org/bibtex/225ff051a18a3129cef56f7191ec2038c/gber},
description = {ScienceDirect - Physics Letters B : A new perturbative approximation applied to supersymmetric quantum field theory},
doi = {DOI: 10.1016/0370-2693(88)90984-7},
interhash = {bdff81a5828aac5a6903ac1f4984521f},
intrahash = {25ff051a18a3129cef56f7191ec2038c},
issn = {0370-2693},
journal = {Physics Letters B},
keywords = {D2 N1 StrongCoupling Supersymmetry},
number = 4,
pages = {493 - 498},
timestamp = {2009-04-16T17:43:25.000+0200},
title = {A new perturbative approximation applied to supersymmetric quantum field theory},
url = {http://www.sciencedirect.com/science/article/B6TVN-470G47V-KY/2/5f70945c87cbb818ebb707e6dca095b0},
volume = 205,
year = 1988
}