Abstract
In the non-perturbative IR region, the action of QCD contains a long-range component, acting as an effective “strong gravity”. It is generated by the exchange of a color neutral pair of gluons \( {G_{{\mu \nu }}}(x) \sim {\eta_{{ab}}}B_{\mu }^{\alpha }(x)B_{\nu }^b(x) \) The G μν acts formally as a Riemannian metric with J P = O +, 2+ quanta coupled symmetrically to nuclear matter and generating the IBM paradigm, Regge trajectories and the string-like features of hadrons.
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References
A. Arima and F. Iachello, Phys. Rev. Lett. 35 (1975) 1069
ib., Ann. Phys. 99 (1976) 253
A. Arima and F. Iachello, Ann. Phys. 111 (1978) 201
A. Arima and F. Iachello, Ann. Phys. 123 (1979) 468
F. Iachello and I. Talmi, Rev. Mod. Phys. 54 339 (1987).
See for example C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (W.H. Freeman and Co. Publ., San Francisco, 1973) Sect. 36.1.
J.P. Elliott, Proc. Roy. Soc. A245 (1958) 128,
J.P. Elliott, Proc. Roy. Soc. A245 (1958) 562
J.P. Elliott and M. Harvey, Proc. Roy. Soc. A272 (1963) 557.
Y. Dothan, M. Gell-Mann, and Y. Ne’eman, Phys. Lett. 17 (1965) 148.
L. Weaver and L.C. Biedenharn, Phys. Lett. 32B (1970) 326
L. Weaver and L.C. Biedenharn, Nucl. Phys. A185 (1972) 1.
H. Ui, Prog. Theor, Phys. 44 (1970) 153
L. Weaver, L.C. Biedenharn, and R.Y. Cusson, Ann. Phys. 77 (1973) 250.
S. Goshen and H.J. Lipkin, Ann. Phys. 6 (1959) 301; D.J. Rowe, in Dynamical Groups and Spectrum Generating Algebras, A. Bohm, Y. Ne’eman, and A.O. Barut editors, World Scientific, Singapore (1989), p. 287
G. Rosensteel and D.J. Rowe, Phys. Rev. Lett. 47 (1981) 223
J.P. Draayer and K.J. Weeks, Phys. Rev. Lett. 51 (1983) 1422.
C.J. Isham, A. Salam, and J. Strathdee, Phys. Rev. D8 (1973) 2600
ibid. D9 (1974) 1702
ibid. Lett. N. Cimento 5 (1972) 969.
M. Gell-Mann, Phys. Rev. 125 (1962) 1067, footnote on p. 38
P.G.O. Freund, Phys. Lett. 2 (1962) 136.
T. Yoneya, Prog. Theor. Phys. 51 (1974) 1907
J. Scherk and J.H. Schwarz, Nucl. Phys. B81 (1974) 118.
G. Veneziano, Lett N Cimento A57 (1968) 190.
D.W. Joseph, University of Nebraska preprint, unpublished (1969); Y. Ne’eman, Ann. Inst. H. Poincaré 28 (1978) 639
Y. Ne’eman and Dj. Sijacki, Int. J. Mod. Phys. A2 (1987) 1655.
Y. Ne’eman, Nucl. Phys. 26, (1961) 222; M. Gell-Mann, Report CTSL-20, unpublished.
M. Gell-Mann and Y. Ne’eman, The Eightfold Way (W.A. Benjamin, NY, 1964).
C.N. Yang and R.J. Oakes, Phys. Rev. Lett. 125 (1963) 1067.
Y. Ne’eman, Phys. Rev. 134 (1965) B1355.
Y. Ne’eman, Nucl. Phys. (Proc. Supp. Sec.) B13 (1990) 582.
Y. Ne’eman and Dj. Sijacki, Phys. Lett. 157B, 267 (1985)
Y. Ne’eman and Dj. Sijacki, ib. Phys. Rev. D37, 3267 (1988).
Dj. Šijački, and Y. Ne’eman, Phys. Lett. B247 (1990) 571.
Y. Ne’eman and T. Regge, Riv. N. Cimento Ser. 3, 1 (1978) 5.
J. Thierry-Mieg and Y. Ne’eman, Ann. Phys. (NY) 123 (1979) 247.
K.S. Stelle, Phys. Rev. D16 (1977) 953.
See for example J. Kiskis, Phys. Rev. D11 (1975) 2178
G.B. West, Phys. Lett. 115B (1982) 468.
F.W. Hehl, Y. Ne’eman, J. Nisch, and P. v.d. Heyde, Phys. Lett. B78 (1978) 102; P. Baeckler and F.W. Hehl, in From SU(3) to Gravity, E. Gotsman and G. Tauber editors (Cambridge University Press, Cambridge, 1985), p. 341.
S. Deser and A.N. Redlich, Phys. Lett. 176B (1986) 350.
E.S. Fradkin and A.A. Tseytlin, Phys. Lett. B158 (1985) 316.
A.D. Sakharov, Dokl. Akad, Nauk SSSR 171 (1967) 70
S.L. Adler, Rev. Mod. Phys., 54 (1982) 729
A. Zee, Phys. Rev. D23 (1981) 858.
V.I. Ogievetsky, Lett. N. Cimento 8 (1973) 988.
F.W. Hehl and Y. Ne’eman, “Spacetime as a Continuum with Microstructure and Metric-Affine Gravity”, to be published in Ivananko Festschrift, World Scientific Publ.
J. Pecina-Cruz, J. Lemke, and Y. Ne’eman, to be published.
M. Perroud, J. Math. Phys. 24 (1983) 1381.
Dj. Šijački, and Y. Ne’eman, J. Math. Phys. 16 (1985) 2457.
Dj. Šijački, and Y. Ne’eman, Phys. Lett. B250 (1990) 1.
H.J. Lipkin, Nucl. Phys. A350 (1980) 16.
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Ne’eman, Y. (1992). A Parallelism Between Quantum Gravity and the IR Limit in QCD (Emergence of Hadron and Nuclear Symmetries). In: Frank, A., Wolf, K.B. (eds) Symmetries in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77284-9_13
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