Generating a nonperturbative mass gap using Feynman diagrams in an asymptotically free theory


Journal Article

© 2017 American Physical Society. Using the example of a two-dimensional four-fermion lattice field theory we demonstrate that Feynman diagrams can generate a mass gap when massless fermions interact via a marginally relevant coupling. We introduce an infrared cutoff through the finite system size so that the perturbation series for the partition function and observables become convergent. We then use the Monte Carlo approach to sample sufficiently high orders of diagrams to expose the presence of a mass gap in the lattice model.

Full Text

Duke Authors

Cited Authors

  • Ayyar, V; Chandrasekharan, S

Published Date

  • December 1, 2017

Published In

Volume / Issue

  • 96 / 11

Electronic International Standard Serial Number (EISSN)

  • 2470-0029

International Standard Serial Number (ISSN)

  • 2470-0010

Digital Object Identifier (DOI)

  • 10.1103/PhysRevD.96.114506

Citation Source

  • Scopus