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λϕ 4 in ν dimensions

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Il Nuovo Cimento A (1965-1970)

Summary

A unified treatment of theλϕ 4 theory in any number of dimensions (ν) is given, within the scheme of dimensional regularization. Use is made of the Gaussian approximation and a comparison with the one-loop effective potential is given in different dimensions. For fixed renormalized quantities, there are cases (in particular for ν⇒4) for which the bare parameters go to zero. Nevertheless the corrections (Gaussian or perturbative) are such that the final results are finite.

Riassunto

Si tratta in modo unificato la teoriaλϕ 4 per ogni numero di dimensioni, nell'ambito dello schema di regolarizzazione dimensionale. Si fa uso dell'approssimazione gaussiana e si fa un confronto con il potenziale efficace ad un loop in diverse dimensioni. Per quantità rinormalizzate fisse ci sono casi (in particolare per ν→4) per cui i parametri nudi si annullano. Tuttavia le correzioni (Gaussiane o perturbative) sono tali che i risultati finali sono finiti.

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Author notes

  1. C. G. Bollini

    Present address: Departmento de Fisica, Facultad de Ciencias Exactas, La Plata, Argentina

Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, CBPF/CNPq, Rua Dr. Xavier Sigaud, 150, 22290, Rio de Janeiro, RJ, Brasil

    C. G. Bollini & J. J. Giambiagi

Authors
  1. C. G. Bollini
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  2. J. J. Giambiagi
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Traduzione a cura della Redazione.

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Bollini, C.G., Giambiagi, J.J. λϕ 4 in ν dimensions. Nuov Cim A 93, 113–124 (1986). https://doi.org/10.1007/BF02819985

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  • DOI: https://doi.org/10.1007/BF02819985

PACS. 11.10.Lm

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