Generating a mass gap using Feynman diagrams in an asymptotically free theory
Department of Physics, University of Colorado at Boulder, Boulder CO 80309
2 Department of Physics, Duke University, Durham NC 27708
* Speaker (e-mail: email@example.com) This work was supported by U.S. Department of Energy, Office of Science, Nuclear Physics program under Award Number DE-FG02-05ER41368.
Published online: 26 March 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.
© The Authors, published by EDP Sciences, 2018
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