Massless Lorentz Gauge Field Consistent with Einstein's Gravitation Theory ---The Case α + 2a/ 3 =β - 2a/3 =γ +3a/2=0---

Details Massless Lorentz Gauge Field Consistent with Einstein's Gravitation Theory ---The Case α + 2a/ 3 =β - 2a/3 =γ +3a/2=0--- Massless Lorentz Gauge Field Consistent with Einstein's Gravitation Theory ---The Case α + 2a/ 3 =β - 2a/3 =γ +3a/2=0---

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985pthph..73..874f&link_type=abstract

Progress of Theoretical Physics, Vol. 73, No. 4, pp. 874-883

Physics

11

Scientific paper

We study the possible existence of the massless Lorentz gauge field in the linear approximation under the conditions α + 2a/ 3 =β - 2a/3 =γ +3a/2=0. It is found that there are two massless modes of the Lorentz gauge field propagating with positive energy in vacuum. These two massless modes have helicity-parity 1+ and 1-, respectively, and cannot coexist. The massless mode with helicity-parity 1+ is the most interesting, because the axial-vector component of the Lorentz gauge field interacts with Dirac fields directly.

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