--- title: "Finite Temperature One-Loop Renormalization of λϕ4 and Gross-Neveu Model - The Search for Triviality • 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/6ad2a767639f62b11adbb5db" 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_~RmluaXRlIFRlbXBlcmF0dXJlIE9uZS1Mb29wIFJlbm9ybWFsaXphdGlvbiBvZiA8bWF0aD7Ou8-VNDwvbWF0aD4gYW5kIEdyb3NzLU5ldmV1IE1vZGVsIC0gVGhlIFNlYXJjaCBmb3IgVHJpdmlhbGl0eQ%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~QS5QLkMuIE1hbGJvdWlzc29uOyBOLkYuIFN2YWl0ZXI%2Cdetalhe_1994%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI1ZGIi%2Cs_IuiLXSPY_i8g2IcJ.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Finite Temperature One-Loop Renormalization of λϕ4 and Gross-Neveu Model - The Search for Triviality • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~RmluaXRlIFRlbXBlcmF0dXJlIE9uZS1Mb29wIFJlbm9ybWFsaXphdGlvbiBvZiA8bWF0aD7Ou8-VNDwvbWF0aD4gYW5kIEdyb3NzLU5ldmV1IE1vZGVsIC0gVGhlIFNlYXJjaCBmb3IgVHJpdmlhbGl0eQ%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~QS5QLkMuIE1hbGJvdWlzc29uOyBOLkYuIFN2YWl0ZXI%2Cdetalhe_1994%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmI1ZGIi%2Cs_IuiLXSPY_i8g2IcJ.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **Finite Temperature One-Loop Renormalization of **λφ4\\\lambda\\varphi^{4}\λφ4** and Gross-Neveu Model - The Search for Triviality** **A.P.C. Malbouisson; N.F. Svaiter** 1994 [**Descargar PDF **0,2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb5db/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Finite%20Temperature%20One-Loop%20Renormalization%20of%20%3Cmath%3E%CE%BB%CF%954%3C%2Fmath%3E%20and%20Gross-Neveu%20Model%20-%20The%20Search%20for%20Triviality) ## **Datos de la publicación**
Autores
A.P.C. Malbouisson; N.F. Svaiter
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
1994
Descripción
We investigate the temperature dependent one-loop effective potential associated with two different models in a generic D dimensional spacetime. The first one is the massive self-interacting <math>\lambda\varphi^{4}\,\!</math> model. The second is the Gross-Neveu model. We analize the possibility of triviality in these models at some temperature and also calculed the <math>{\mathcal B}\,\!</math> coefficient of the Callan-Zymanzik equations in the situations where triviality can be achieved. In the <math>\lambda\varphi^{4}\,\!</math> model for <math>D=4\,\!</math> the renormalized coupling constant attains its maximum at zero temperature and decreases monotonically as the temperature increases, so there is no triviality in this case. The situation is quite different for <math>D<4\,\!</math>, where the renormalized coupling constant vanishes at some finite temperature <math>\beta^{-1}_{T}\,\!</math>. Above this triviality temperature, the effective potential becomes unbounded bellow, corresponding to a metastable vacuum. In the massless Gross-Neveu model for <math>D=3\,\!</math> the thermal contribution to the renormalized coupling constant is zero, which means at least in the one-loop aproximation, triviality cannot be obtained.
Año
1994
Número
CBPF-NF-044/94
Vínculo con tesis
No
Vínculo con beca
No
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