A Spinor Approach to Poincare Gauge Theory : In a Case of Massless Lorentz Gauge Field : Particles and Fields

概要

論文の詳細を見る
We formulate a spinor formalism for Poincare gauge theory in vacuum in linear approximation with the condition α+(2/3)α=β-(2/3)α=γ+(3/2)α=0. The spinor formalism introduces the notion of a null tetrad in a remarkably natural way, and will be useful to study massless fields. The existence of massless modes in a Lorentz gauge field was investigated in the above mentioned condition by two groups. One of them found two massless modes propagating with positive energy. On the contrary, the other group claimed the nonexistence of the massless modes. In order to dissolve this confusing situation we apply our formalism to the investigation of a "null field" in the Lorentz gauge field. We find two such modes with spin-parity 1^+ and 1^-, which cannot coexist. this is consistent with the result given by one of the above groups. However, our conditions for the parameters are more stringent than theirs. The difference seems to come from our elimination of unphysical fields which do not appear in the energy density. In fact, when they are not eliminated, we have the same conditions as theirs.
一般社団法人日本物理学会の論文
1989-02-25