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

Conference Paper

© The Authors, published by EDP Sciences, 2018. Using the example of a two dimensional four-fermion lattice field theory, we show that Feynman diagrams can generate a mass gap in a theory with massless fermions that interact via a marginally relevant coupling. We show this by introducing an infrared cutoff that makes the perturbation series for the partition function convergent. We use a Monte Carlo approach to sample sufficiently high orders of diagrams and thus expose the presence of the mass gap.

Full Text

Duke Authors

Cited Authors

  • Ayyar, V; Chandrasekharan, S

Published Date

  • March 26, 2018

Published In

Volume / Issue

  • 175 /

Electronic International Standard Serial Number (EISSN)

  • 2100-014X

International Standard Serial Number (ISSN)

  • 2101-6275

Digital Object Identifier (DOI)

  • 10.1051/epjconf/201817511010

Citation Source

  • Scopus