Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-21
Phys.Rev. D50 (1994) 7351-7362
Physics
High Energy Physics
High Energy Physics - Theory
32 pages. (A further discussion to avoid tachyons is included. To be Published in Physical Review D.)
Scientific paper
10.1103/PhysRevD.50.7351
Preliminary investigations are made for the stability of the $1/N$ expansion in three-dimensional gravity coupled to various matter fields, which are power-counting renormalizable. For unitary matters, a tachyonic pole appears in the spin-2 part of the leading graviton propagator, which implies the unstable flat space-time, unless the higher-derivative terms are introduced. As another possibility to avoid this spin-2 tachyon, we propose Einstein gravity coupled to non-unitary matters. It turns out that a tachyon appears in the spin-0 or -1 part for any linear gauges in this case, but it can be removed if non-minimally coupled scalars are included. We suggest an interesting model which may be stable and possess an ultraviolet fixed point.
Mizoguchi Shun'ya
Yamamoto Hisashi
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