A new approach to numerical quantum field theory
@article{Garca1993ANA,
title={A new approach to numerical quantum field theory},
author={Santiago Garc{\'i}a and Gerald S. Guralnik and John W. Lawson},
journal={Physics Letters B},
year={1993},
volume={322},
pages={119-124},
url={https://api.semanticscholar.org/CorpusID:15609386}
}Tables from this paper
9 Citations
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14 References
Experiments with a Gauge Invariant Ising System
- 1979
Physics
Using Monte Carlo techniques, we evaluate the path integral for the four-dimensional lattice gauge theory with a Z/sub 2/ gauge group. The system exhibits a first-order transition. This is contrary…
Lattice Gauge Theories And Monte Carlo Simulations
- 1983
Physics
This volume is the most up-to-date review on Lattice Gauge Theories and Monte Carlo Simulations. It consists of two parts. Part one is an introductory lecture on the lattice gauge theories in…
Nonunique solution to the Schwinger-Dyson equations.
- 1989
Physics
It is shown that while the Schwinger-Dyson equations do determine the weak-coupling perturbation expansions of the Green's functions, the solution to the SchwINGER- Dyson equations is not unique and therefore the nonperturbative content of theGreen's functions remains undetermined.
The Theory of Partitions: Frontmatter
- 1976
Mathematics
1. The elementary theory of partitions 2. Infinite series generating functions 3. Restricted partitions and permutations 4. Compositions and Simon Newcomb's problem 5. The Hardy-Ramanujan-Rademacher…
Computational Galerkin Methods
- 1983
Engineering, Computer Science
For many of the examples given in chapter 1, acceptable accuracy, and often very high accuracy, could be achieved with less than five terms in the trial solution. The advent of computers has brought…