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

Publication ,  Conference
Ayyar, V; Chandrasekharan, S
Published in: EPJ Web of Conferences
March 26, 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.

Duke Scholars

Published In

EPJ Web of Conferences

DOI

EISSN

2100-014X

ISSN

2101-6275

Publication Date

March 26, 2018

Volume

175
 

Citation

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Ayyar, V., & Chandrasekharan, S. (2018). Generating a mass gap using Feynman diagrams in an asymptotically free theory. In EPJ Web of Conferences (Vol. 175). https://doi.org/10.1051/epjconf/201817511010
Ayyar, V., and S. Chandrasekharan. “Generating a mass gap using Feynman diagrams in an asymptotically free theory.” In EPJ Web of Conferences, Vol. 175, 2018. https://doi.org/10.1051/epjconf/201817511010.
Ayyar V, Chandrasekharan S. Generating a mass gap using Feynman diagrams in an asymptotically free theory. In: EPJ Web of Conferences. 2018.
Ayyar, V., and S. Chandrasekharan. “Generating a mass gap using Feynman diagrams in an asymptotically free theory.” EPJ Web of Conferences, vol. 175, 2018. Scopus, doi:10.1051/epjconf/201817511010.
Ayyar V, Chandrasekharan S. Generating a mass gap using Feynman diagrams in an asymptotically free theory. EPJ Web of Conferences. 2018.
Journal cover image

Published In

EPJ Web of Conferences

DOI

EISSN

2100-014X

ISSN

2101-6275

Publication Date

March 26, 2018

Volume

175