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Mass in the Gross-Neveu model.—II

Масса в модели Гросса-Невэ. II

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

It is shown that results on mass generation in the Gross-Neveu model, that were apparently in conflict, lead to the same physics, being therefore equivalent. This is done by using renormalization group techniques.

Riassunto

Si mostra che risultati sulla generazione di massa nel modello di Gross-Neveu che erano apparentemente in disaccordo portano alla stessa fisica, e sono quindi equivalenti. Questa dimostrazione è effettuata mediante l'uso di tecniche del gruppo di rinormalizzazione.

Резюме

Показывается, что результаты по вырождению масс в модели Гросса-Невэ, которые кажутся противоречивыми, приводят к одинаковой физике, т.е. являются эквивалентными. Этот результат получен с помощью техники группы перенормировки.

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References

  1. H. Fleming andK. Furuya:Nuovo Cimento A,49, 101 (1979).

    Article  ADS  Google Scholar 

  2. D. J. Gross andA. Neveu:Phys. Rev. D,10, 3235 (1974).

    Article  ADS  Google Scholar 

  3. H. D. I. Abarbanel:Nucl. Phys. B,130, 29 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  4. C. G. Callan:Phys. Rev. D,2, 1541 (1970);K. Symanzik:Commun. Math. Phys.,18, 227 (1970).

    Article  ADS  Google Scholar 

  5. K. Symanzik:Renormalization of theories with broken symmetry, inCargèse Lectures, edited byD. Bessis (New York, N. Y., 1970).

  6. T. Muta:Mass generation in the Gross-Neveu model and the self-consistent β-function method, preprint RIFP-289, from Kyoto.

  7. C. G. Bollini, J. J. Giambiagi andA. Gonzales Dominguez:Nuovo Cimento,31, 550 (1964);G. 't Hooft andM. Veltman:Nucl. Phys. B,44, 189 (1972).

    Article  Google Scholar 

  8. J. Iliopoulos andN. Papanicolaou:Nucl. Phys. B,105, 77 (1976).

    Article  ADS  Google Scholar 

  9. H. Fleming:Nuovo Cimento A,46, 246 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  10. See, for instance,D. J. Gross:Applications of the renormalization group, inMethods in Field Theory, edited byR. Balian andJ. Zinn-Justin (Amsterdam, 1976).

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Author information

Authors and Affiliations

  1. Instituto de Física da Universidade de São Paulo, São Paulo, Brasil

    H. Fleming, K. Furuya & J. L. de Lyra (FAPESP pre-doctoral fellow)

Authors
  1. H. Fleming
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  2. K. Furuya
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  3. J. L. de Lyra
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Fleming, H., Furuya, K. & de Lyra, J.L. Mass in the Gross-Neveu model.—II. Nuov Cim A 53, 405–414 (1979). https://doi.org/10.1007/BF02776404

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  • DOI: https://doi.org/10.1007/BF02776404

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