Generating a nonperturbative mass gap using Feynman diagrams in an asymptotically free theory
Open Access
- 8 December 2017
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 96 (11) , 114506
Abstract
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.Keywords
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Funding Information
- U.S. Department of Energy (DE-SC0010005)
- Office of Science
- Nuclear Physics (DE-FG02-05ER41368)
This publication has 31 references indexed in Scilit:
- Taming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body ProblemsPhysical Review Letters, 2015
- Seeing asymptotic freedom in an exact correlator of a large-matrix field theoryPhysical Review D, 2014
- Diagrammatic Monte Carlo for correlated fermionsEurophysics Letters, 2010
- Bold diagrammatic Monte Carlo: A generic sign-problem tolerant technique for polaron models and possibly interacting many-body problemsPhysical Review B, 2008
- Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is WelcomePhysical Review Letters, 2007
- Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulationsPhysical Review E, 2006
- Mass Generation in the Large N -Nonlinear σ-ModelCommunications in Mathematical Physics, 1999
- Polaron Problem by Diagrammatic Quantum Monte CarloPhysical Review Letters, 1998
- Mass generation in the large N Gross-Neveu-ModelCommunications in Mathematical Physics, 1995
- An introduction to lattice gauge theory and spin systemsReviews of Modern Physics, 1979