EPJ Web Conf.
Volume 175, 201835th International Symposium on Lattice Field Theory (Lattice 2017)
|Number of page(s)||8|
|Section||11 Theoretical Developments|
|Published online||26 March 2018|
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: firstname.lastname@example.org) 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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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