Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions
By Luigi Del Debbio, Agostino Patella, Claudio Pica. 2008
205 citations recorded by the source corpus.
We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group and present in detail the implementation of the hybrid Monte Carlo (HMC)/rational HMC algorithm for simulating dynamical fermions. We discuss the validation of the implementation through an extensive set of tests and the stability of simulations by monitoring the distribution of the lowest eigenvalue of the Wilson-Dirac operator. Working with two flavors of Wilson fermions in the adjoint representation, benchmark results for realistic lattice simulations are presented. Runs are performed on different lattice sizes ranging from 4{sup 3}x8 to 24{sup 3}x64 sites. For the two smallest lattices we also report the measured values of benchmark mesonic observables. These results can be used as a baseline for rapid cross-checks of simulations in higher representations. The results presented here are the first steps toward more extensive investigations with controlled systematic errors, aiming at a detailed understanding of the phase structure of these theories, and of their viability as candidates for strong dynamics beyond the standard model.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/780897c0027136fa1e2b347d563b41fc65908ebf
How researchers see this paper
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In Nuclear and High Energy Physics
- Giacomo Cacciapaglia
- Claudio Pica
- Luigi Del Debbio
- Francesco Sannino
- R. Zwicky
- Atlas Collaboration
- T. Ryttov
- Cms Collaboration
Citations in the corpus
- Fundamental composite dynamics: A review (2020, background): “Most of initial effort for beyond the SM studies on the lattice was focused on the model with n f = 2 adjoint Dirac fermions [354, 355, 356, 357, 358, 359, 360, 361, 362].”
- Hyperscaling relations in mass-deformed conformal gauge theories (2010, background): “This opens the possibility to obtain first principles results for technicolor, and several preliminary investigations have appeared [27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 13, 41, 42, 43, 44, 45].”