From: bergervo@iae.nl   
      
   On 2/28/2018 9:24 PM, Lawrence Crowell wrote:   
   > On Monday, February 26, 2018 at 9:33:41 AM UTC-6, ben...@hotmail.com wrote:   
      ...   
     ..   
   >>                         ..  Are you   
   >> implying that gravitons only exist within a BH spacetime in connection   
   >> with its BH hairs?   
   >>   
   >> Ben   
   >   
   > The graviton with respect to fermions is a bit odd. A four vertex   
   > interaction of fermions with parallel spins can carry the same   
   > quantum number as a graviton if this is charge neutral and massless.   
   > A graviton interacting with a fermion results in something odd. A   
   > spin 1/2 particle that absorbs a graviton with spin 2 then has   
   > either spin 3/2 or 5/2. The first of these is a Rarita-Shwinger   
   > field, and we know electrons etc do not convert into this in a   
   > gravity field. The RS field can only be an off-shell field that   
   > decays back into the fermion and graviton. The spin 5/2 is not   
   > physical. What saves the day for there being a single three vertex   
   > interaction is supersymmetry.   
      
   Couldn't you also use a derivative-coupling? That seems to be what   
   Matthew Schwartz uses a lot when treating Gravity in straightforward   
   quantization (albeit non-renormalizble).   
      
   And of course he gives other examples (usually four) of theories   
   that are also non-renormalizable and still give very useful and   
   correct predictions.   
      
   See for instance Matthew D. Schwartz, "Quantum Field Theory and   
   the Standard Model", Sect. 22.4. Or "Introduction to Quantum   
   Field Theory", Sect. 23.5.   
      
   > A fermion is associated with a spin   
   > 1 particle in the (1/2, 1) SUSY doublet. Now the graviton can   
   > interact with the fermion through its superpartner. So a fermion   
   > quantum fluctuates into being a spin 1 boson that can absorb a   
   > graviton. We may then have a nice 3-vertex interaction.=20   
      
   OK, that's another possibility.   
      
   --   
   Jos   
      
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