Science Advisor
Homework Helper
Gold Member
Dearly Missed
- 24,752
- 795
Sample slides (#34 and 35) from Dixon's talk:
Is N=8 SUGRA “only” as good as QED?
• QED is renormalizable, but its perturbation series has zero radius of convergence in a: ~ L! aL
• UV renormalons associated with UV Landau pole
• But for small a it works pretty well:
ge - 2 agrees with experiment to 10 digits
• Also, tree-level (super)gravity works well for s << MPl2
• Many pointlike nonperturbative UV completions for QED: asymptotically free GUTs
• What is/are nonperturbative UV completion(s) for N=8 SUGRA? Is the only possibility superstring theory? Or could some be pointlike too?
Outlook
• Through 4 loops, the 4-graviton scattering amplitude of N=8 supergravity has UV behavior no worse than the corresponding 4-gluon amplitude of N=4 SYM.
• Will the same continue to happen at higher loops? 5 loops will provide a strong test! If so, then N=8 supergravity would be a finite, point-like theory of quantum gravity.
• We need a new way to look at the problem, rather than loop by loop! Is there a deep symmetry responsible?
• N=8 supergravity is still only a “toy model” for quantum gravity – we don‟t see any way to use it to describe the strong and weak interactions.
• Still, could it point the way to other, more realistic, finite point-like theories? (A big challenge, but maybe N=8 gauging --> N<8 can be a first step...)
Slide #36 is kind of funny. You can look for it yourself.
Is N=8 SUGRA “only” as good as QED?
• QED is renormalizable, but its perturbation series has zero radius of convergence in a: ~ L! aL
• UV renormalons associated with UV Landau pole
• But for small a it works pretty well:
ge - 2 agrees with experiment to 10 digits
• Also, tree-level (super)gravity works well for s << MPl2
• Many pointlike nonperturbative UV completions for QED: asymptotically free GUTs
• What is/are nonperturbative UV completion(s) for N=8 SUGRA? Is the only possibility superstring theory? Or could some be pointlike too?
Outlook
• Through 4 loops, the 4-graviton scattering amplitude of N=8 supergravity has UV behavior no worse than the corresponding 4-gluon amplitude of N=4 SYM.
• Will the same continue to happen at higher loops? 5 loops will provide a strong test! If so, then N=8 supergravity would be a finite, point-like theory of quantum gravity.
• We need a new way to look at the problem, rather than loop by loop! Is there a deep symmetry responsible?
• N=8 supergravity is still only a “toy model” for quantum gravity – we don‟t see any way to use it to describe the strong and weak interactions.
• Still, could it point the way to other, more realistic, finite point-like theories? (A big challenge, but maybe N=8 gauging --> N<8 can be a first step...)
Slide #36 is kind of funny. You can look for it yourself.