Toward Quantum Gravity I: Newton Gravitation Constant, Cosmological Constant, and Classical Tests

Details Toward Quantum Gravity I: Newton Gravitation Constant, Cosmological Constant, and Classical Tests Toward Quantum Gravity I: Newton Gravitation Constant, Cosmological Constant, and Classical Tests

2000-12-30

arxiv.org/abs/gr-qc/0101001v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTeX, 14 pages

Scientific paper

This study toward quantum gravity (QG) introduces an SU(N) gauge theory with the \Theta vacuum term as a trial theory. Newton gravitation constant G_N is realized as the effective coupling constant for a massive graviton, G_N /\sqrt{2} = g_f g_g^2/8 M_G^2 \simeq 10^{-38} GeV^{-2} with the gauge boson mass M_G = M_{Pl} \simeq 10^{19} GeV, the gravitational coupling constant g_g, and the gravitational factor g_f. This scheme postulates the effective cosmological constant as the effective vacuum energy represented by massive gauge bosons, \Lambda_e = 8 \pi G_N M_G^4, and provides a plausible explanation for the small cosmological constant at the present epoch \Lambda_0 \simeq 10^{-84} GeV^2 and the large value at the Planck epoch \Lambda_{Pl} \simeq 10^{38} GeV^2; the condensation of the singlet gauge field <\phi> triggers the current anomaly and subtracts the gauge boson mass, M_G^2 = M_{Pl}^2 - g_f g_g^2 <\phi>^2 = g_f g_g^2 (A_{0}^2 - <\phi>^2), as the vacuum energy. Relations among QG, general relativity, and Newtonian mechanics are discussed.

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