RECORD
Simulating thimble regularization of lattice quantum field theories
High Energy Physics - Lattice · Submitted 24 Nov 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We also discuss thimble regularization of gauge theories, and in particular the successfull application to 0+1 dimensional QCD and the status and prospects for Yang-Mills theories.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
Monte Carlo simulations of lattice quantum field theories on Lefschetz thimbles are non trivial. We discuss a new Monte Carlo algorithm based on the idea of computing contributions to the functional integral which come from complete flow lines. The latter are the steepest ascent paths attached to critical points, i.e. the basic building blocks of thimbles. The measure to sample is thus dictated by the contribution of complete flow lines to the partition function. The algorithm is based on a heat bath sampling of the gaussian approximation of the thimble: this defines the proposals for a Metropolis-like accept/reject step. The effectiveness of the algorithm has been tested on a few models, e.g. the chiral random matrix model. We also discuss thimble regularization of gauge theories, and in particular the successfull application to 0+1 dimensional QCD and the status and prospects for Yang-Mills theories.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Monte Carlo simulations of lattice quantum field theories on Lefschetz thimbles are non trivial. | background 1.00 | 0.10 | 0.04 | asserted 1.00 |
| s1 | We discuss a new Monte Carlo algorithm based on the idea of computing contributions to the functional integral which come from complete flow lines. | contribution 0.82 | 0.84 | 0.14 | asserted 0.98 |
| s2 | The latter are the steepest ascent paths attached to critical points, i.e. the basic building blocks of thimbles. | background 0.67 | 0.10 | 0.04 | asserted 1.00 |
| s3 | The measure to sample is thus dictated by the contribution of complete flow lines to the partition function. | method 0.96 | 0.57 | 0.07 | asserted 1.00 |
| s4 | The algorithm is based on a heat bath sampling of the gaussian approximation of the thimble: this defines the proposals for a Metropolis-like accept/reject step. | method 1.00 | 0.82 | 0.07 | asserted 1.00 |
| s5 | The effectiveness of the algorithm has been tested on a few models, e.g. the chiral random matrix model. | result 0.62 | 0.88 | 0.10 | asserted 0.99 |
| s6 | We also discuss thimble regularization of gauge theories, and in particular the successfull application to 0+1 dimensional QCD and the status and prospects for Yang-Mills theories. | contribution 0.65 | 0.68 | 0.23 | asserted 0.96 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Monte Carlo simulations of lattice quantum field theories on Lefschetz thimbles are non trivial. We discuss a new Monte Carlo algorithm based on the idea of computing contributions to the functional integral which come from complete flow lines. The latter are the steepest ascent paths attached to critical points, i.e. the basic building blocks of thimbles. The measure to sample is thus dictated by the contribution of complete flow lines to the partition function. The algorithm is based on a heat bath sampling of the gaussian approximation of the thimble: this defines the proposals for a Metropolis-like accept/reject step. The effectiveness of the algorithm has been tested on a few models, e.g. the chiral random matrix model. We also discuss thimble regularization of gauge theories, and in particular the successfull application to 0+1 dimensional QCD and the status and prospects for Yang-Mills theories.
Human review
How the literature uses it
1 arXiv paper cite this in 1 sentence
Papers citing it
Cites it as background 1 paper
-
See Refs. [ref] for recent progress in these methods.
Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction · Path optimization method · 0.99
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.