From: goldenfieldquaternions@gmail.com   
      
   On Thursday, March 1, 2018 at 12:23:25 AM UTC-6, Jos Bergervoet wrote:   
   > 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   
      
   In a way the Grassmannian terms in SUSY might serve as derivative   
   couplings. If there is the fermion y the Grassmannian G acts on Y   
   to give the superfield   
      
   Y = y + g-bar y + g y-bar + ... .   
      
   The Grassmannian g is fermionic and we may interpret it as a sort   
   of spin operator. The operator r x grad_r defines angular momentum   
   and this could be used in a derivative coupling    
   replaced with . The difference is that instead of   
   an angular momentum operator there is this spinor valued object.   
      
   LC   
      
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