Restoring rotational invariance for lattice QCD propagators
This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to recover rotationally invariant results for two-point Green fu...
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| Format: | article |
| Publication Date: | 2022 |
| Country: | España |
| Institution: | Universidad Pablo de Olavide (UPO) |
| Repository: | RIO. Repositorio Institucional Olavide |
| Language: | English |
| OAI Identifier: | oai:rio.upo.es:10433/22786 |
| Online Access: | https://hdl.handle.net/10433/22786 |
| Access Level: | Open access |
| Keyword: | Algorithms and Theoretical Developments Correlation Functions Lattice QCD Lattice Quantum Field Theory |
| Summary: | This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to recover rotationally invariant results for two-point Green functions. We show that a combination of the results obtained in position and momentum space can be useful to signal the presence of rotationally invariant artifacts making use of their approximate Fourier transforms in the continuum. The method will be introduced using a Klein-Gordon propagator, and a direct application to gluon propagator in quenched lattice QCD will be given |
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