---
title: "Chiral, Symmetry, Renormalization Group and Fixed Points for Lattice Fermions • CBPF Index"
description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb63d"
locale: en
meta:
  "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~Q2hpcmFsLCBTeW1tZXRyeSwgUmVub3JtYWxpemF0aW9uIEdyb3VwIGFuZCBGaXhlZCBQb2ludHMgZm9yIExhdHRpY2UgRmVybWlvbnM%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_W.%2BBietenholz%2Cdetalhe_1993%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI2M2Qi%2Cs_7zzmhD9tntmf9iOy.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Chiral, Symmetry, Renormalization Group and Fixed Points for Lattice Fermions • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~Q2hpcmFsLCBTeW1tZXRyeSwgUmVub3JtYWxpemF0aW9uIEdyb3VwIGFuZCBGaXhlZCBQb2ludHMgZm9yIExhdHRpY2UgRmVybWlvbnM%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_W.%2BBietenholz%2Cdetalhe_1993%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI2M2Qi%2Cs_7zzmhD9tntmf9iOy.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Physics Note****Published**

# **Chiral, Symmetry, Renormalization Group and Fixed Points for Lattice Fermions**

**W. Bietenholz**

1993

[**Download PDF **0.3 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb63d/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Chiral%2C%20Symmetry%2C%20Renormalization%20Group%20and%20Fixed%20Points%20for%20Lattice%20Fermions)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>W. Bietenholz</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1993</dd>

<dt>Description</dt>
<dd>We discuss fixed point actions for various types of free lattice fermions. The iterated block spin renormalization group transformation yields lines of local but chiral symmetry breaking fixed points. For staggered fermions at least the &lt;math&gt;U(1) \otimes U(1)\,\!&lt;/math&gt; symmetry can be preserved. This provides a basis for approximating perfect actions for asymptotically free theories far from the critical surface. For a class of lattice fermions that includes Wilson fermions we find in addition one non local but chirally invariant fixed point. Its vicinity is studied in the framework of the Gross Neveu model with weak four Fermi interaction.</dd>

<dt>Year</dt>
<dd>1993</dd>

<dt>Number</dt>
<dd>CBPF-NF-073/93</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/en#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"en-US","name":"CBPF Index","url":"https://index.cbpf.br/en","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb63d#webpage","@type":"WebPage","description":"CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community.","name":"Chiral, Symmetry, Renormalization Group and Fixed Points for Lattice Fermions","url":"https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb63d","isPartOf":{"@id":"https://index.cbpf.br/en#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbb63d"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"en-US","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.