1995/06/28 by C. Arvanitis, Arvanitis, C., F. Geniet +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9506188
20 pages, includes 4-uuencoded figures, uses revtex one minor corection in the tex source to include properly fig
arxiv created 1995/06/28 · arxiv updated 2009/11/30
In this first paper we begin the application of variational methods to renormalisable asymptotically free field theories, using the Gross-Neveu model as a laboratory. This variational method has been shown to lead to a numerically convergent sequence of approximations for the anharmonic oscillator. Here we perform a sample calculation in lowest orders, which shows the superficially disastrous situation of variational calculations in quantum field theory, and how in the large-N limit all difficulties go away, as a warm up exercise for the finite-N case and for QCD.