--- title: "Optimised Dirac Operators on the Lattice: Construction, Properties and Applications • CBPF Index" description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb020" locale: es meta: "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~T3B0aW1pc2VkIERpcmFjIE9wZXJhdG9ycyBvbiB0aGUgTGF0dGljZTogQ29uc3RydWN0aW9uLCBQcm9wZXJ0aWVzIGFuZCBBcHBsaWNhdGlvbnM%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_Wolfgang%2BBietenholz%2Cdetalhe_~MjkvMDcvMjAxMA%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIwMjAi%2Cs_y6dyulegnVTd3bxv.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Optimised Dirac Operators on the Lattice: Construction, Properties and Applications • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~T3B0aW1pc2VkIERpcmFjIE9wZXJhdG9ycyBvbiB0aGUgTGF0dGljZTogQ29uc3RydWN0aW9uLCBQcm9wZXJ0aWVzIGFuZCBBcHBsaWNhdGlvbnM%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_Wolfgang%2BBietenholz%2Cdetalhe_~MjkvMDcvMjAxMA%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIwMjAi%2Cs_y6dyulegnVTd3bxv.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **Optimised Dirac Operators on the Lattice: Construction, Properties and Applications** **Wolfgang Bietenholz** 29/07/2010 [**Descargar PDF **1,1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb020/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Optimised%20Dirac%20Operators%20on%20the%20Lattice%3A%20Construction%2C%20Properties%20and%20Applications) ## **Datos de la publicación**
Autores
Wolfgang Bietenholz
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
29/07/2010
Descripción
We review a number of topics related to block variable renormalisation group transformations of quantum fields on the lattice, and to the emerging perfect lattice actions. We first illustrate this procedure by considering scalar fields. Then we proceed to lattice fermions, where we discuss perfect actions for free fields, for the Gross-Neveu model and for a supersymmetric spin model. We also consider the extension to perfect lattice perturbation theory, in particular regarding the axial anomaly and the quark gluon vertex function. Next we deal with properties and applications of truncated perfect fermions, and their chiral correction by means of the overlap formula. This yields a formulation of lattice fermions, which combines exact chiral symmetry with an optimisation of further essential properties. We summarise simulation results for these so-called overlap-hypercube fermions in the two-flavour Schwinger model and in quenched QCD. In the latter framework we establish a link to Chiral Perturbation Theory, both, in the p-regime and in the -regime. In particular we present an evaluation of the leading Low Energy Constants of the chiral Lagrangian — the chiral condensate and the pion decay constant — from QCD simulations with extremely light quarks.
Año
2006
Número
CBPF-NF-031/06
Vínculo con tesis
No
Vínculo con beca
No
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