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Setting Limits on Supersymmetry Using Simplified Models
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Published on: November 15, 2013

Resummation of massive gravity.

Claudia de Rham1, Gregory Gabadadze, Andrew J Tolley

  • 1Départment de Physique Théorique, Université de Genève, Genève, Switzerland.

Physical Review Letters
|July 21, 2011
PubMed
Summary
This summary is machine-generated.

Researchers developed ghost-free nonlinear massive gravity theories in four dimensions. These theories explicitly resum nonlinear terms, maintaining the Hamiltonian constraint and excluding the Boulware-Deser ghost up to quartic order.

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Area of Science:

  • Theoretical Physics
  • Gravitational Physics

Background:

  • Massive gravity theories are crucial for understanding gravity's behavior at different scales.
  • Theories of massive gravity often face challenges with ghost instabilities, particularly the Boulware-Deser ghost.

Purpose of the Study:

  • To construct four-dimensional covariant nonlinear theories of massive gravity that are ghost-free.
  • To investigate the behavior of these theories beyond the decoupling limit, specifically concerning Hamiltonian constraints.

Main Methods:

  • Construction of nonlinear massive gravity theories in four dimensions.
  • Analysis of the theories in the decoupling limit to all orders.
  • Examination of the Hamiltonian constraint away from the decoupling limit up to quartic order.

Main Results:

  • Successfully constructed ghost-free massive gravity theories in the decoupling limit to all orders.
  • Demonstrated that the Hamiltonian constraint is maintained up to quartic order in nonlinearities away from the decoupling limit.
  • Confirmed the exclusion of the Boulware-Deser ghost up to this order and in a similar toy model to all orders.

Conclusions:

  • The developed nonlinear massive gravity theories offer a ghost-free framework.
  • These theories provide a robust understanding of massive gravity, particularly concerning stability and constraints.
  • The findings pave the way for further exploration of massive gravity in theoretical physics.