Advertisement

Il Nuovo Cimento A (1971-1996)

, Volume 58, Issue 2, pp 540–546 | Cite as

Spectral-function sum rules for tensor currents

  • M. Ademollo
  • G. Longhi
  • G. Veneziano
Lettere alla Redazione

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    S. Weinberg:Phys. Rev.,18, 507 (1967).MathSciNetADSGoogle Scholar
  2. (2).
    SeeR. J. Oakes:Phys. Rev. Lett.,20, 513 (1968) and alsoS. P. de Alwis:Nuovo Cimento,51 A, 846 (1967);J. J. Sakurai:Phys. Rev. Lett.,19, 803 (1967); see also ref. (5,13).J. Das, V. S. Mathur andS. Okubo:Phys. Rev. Lett.,19, 470 (1967).H. T. Nieh:Phys. Rev.,163, 1769 (1967).CrossRefADSGoogle Scholar
  3. (3).
    J. Das, G. S. Guralnik, V. S. Mathur, F. E. Low andJ. E. Young:Phys. Rev. Lett.,18, 759 (1967).CrossRefADSGoogle Scholar
  4. (4).
    J. Das, V. S. Mathur andS. Okubo:Phys. Rev. Lett.,18, 761 (1967);S. L. Glashow, H. J. Schnitzer andS. Weinberg:Phys. Rev. Lett.,19, 205 (1967);P. P. Srivastava:Phys. Lett.,26 B, 233 (1968).CrossRefADSGoogle Scholar
  5. (5).
    J. Das, V. S. Mathur andS. Okubo:Phys. Rev. Lett.,19, 470 (1967).CrossRefADSGoogle Scholar
  6. (6).
    J. Das, V. S. Mathur andS. Okubo:Phys. Rev. Lett.,19, 1067 (1967).CrossRefADSGoogle Scholar
  7. (7).
    Our notations are as inJ. D. Bjorken andS. D. Drell:Relativistic Quantum Mechanics (New York, 1964).Google Scholar
  8. (8).
    We assume that once integrated Schwinger terms vanish.Google Scholar
  9. (9).
    Asymptotic means that the symmetry becomes exact in the limitq 2→∞,q being the momentum carried out by the currents. The generators of the algebra are not, of course, conserved charges. The possibility of obtaining an algebra of nonconserved charges that leaves the vacuum invariant has been discussed byH. Leutwyler (Bern preprint, May 1968).Google Scholar
  10. (11).
    Seee.g. S. Fubini, G. Segrè andJ. D. Walecka:Ann. of Phys.,39, 381 (1966).CrossRefADSGoogle Scholar
  11. (12).
    S. L. Glashow, H. J. Schnitzer andS. Weinberg:Phys. Rev. Lett.,19, 139 (1967).CrossRefADSGoogle Scholar
  12. (13).
    H. T. Nieh:Phys. Rev.,163, 1769 (1967).CrossRefADSGoogle Scholar
  13. (14).
    K. Kawarabayashi andM. Suzuki:Phys. Rev. Lett.,16, 255 (1966).MathSciNetCrossRefADSGoogle Scholar
  14. (15).
    Seee.g. M. Ademollo, R. Gatto, G. Longhi andG. Veneziano:Phys. Rev.,153, 1623 (1967).CrossRefADSGoogle Scholar
  15. (16).
    While this work was under completion we received a preprint byP. A. Cook andG. C. Joshi where the same result of eq. (30) is obtained. These authors, however, do not discuss the ambiguities underlying eq. (20).Google Scholar
  16. (17).
    We may observe that, even without making use of PCTC, eq. (27) is consistent with (20). In fact, using for ρ and B the experimental masses, we findf′=1.09f, which tends to confirm our scheme.Google Scholar
  17. (18).
    J. D. Bjorken:Phys. Rev.,148, 1467 (1966).CrossRefADSGoogle Scholar
  18. (19).
    A. H. Rosenfeld et al.: UCRL 8030 January 1968.Google Scholar
  19. (20).
    R. F. Dashen andD. H. Sharp:Phys. Rev.,133, B 1585 (1964).CrossRefADSGoogle Scholar
  20. (22).
    S. L. Adler:Phys. Rev.,139, B 1638 (1965).MathSciNetCrossRefADSGoogle Scholar
  21. (23).
    This would be true in a field algebra model, seeT. D. Lee, S. Weinberg andB. Zumiko:Phys. Rev. Lett.,18, 1029 (1967).CrossRefADSGoogle Scholar
  22. (24).
    L. Maiani:Phys. Lett. 26 B, 538 (1968).MathSciNetCrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1968

Authors and Affiliations

  • M. Ademollo
    • 1
  • G. Longhi
    • 2
    • 3
  • G. Veneziano
    • 4
  1. 1.Lyman Laboratory of PhysicsHarvard UniversityCambridge
  2. 2.Istituto di Fisica Teorica dell’UniversitàFirenze
  3. 3.Sottosezione di FirenzeIstituto Nazionale di Fisica NucleareFirenzeItalia
  4. 4.Department of Nuclear PhysicsWeizmann Institute of ScienceRehoroth

Personalised recommendations