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M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
1939
Earlier work this paper cites.
D. Boulware and S. Deser, Can gravitation have a finite range?
1972
Earlier work this paper cites.
N. Boulanger, T. Damour, L. Gualtieri, and M. Henneaux, Inconsistency of interacting, multigraviton theories
2001
Earlier work this paper cites.
N. Arkani-Hamed, A. G. Cohen, and H. Georgi, (De)constructing dimensions
2001
Earlier work this paper cites.
M. D. Schwartz, Constructing gravitational dimensions
2003
Earlier work this paper cites.
N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, Effective field theory for massive gravitons and gravity in theory space
2003
Earlier work this paper cites.
N. Arkani-Hamed and M. D. Schwartz, Discrete gravitational dimensions
2004
Earlier work this paper cites.
C. Deffayet and J. Mourad, Multigravity from a discrete extra dimension
2004
Earlier work this paper cites.
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action
Original
2010
Earlier work this paper cites.

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2014

Cycles of interactions in multi-gravity theories

Scargill, James H. C., Noller, Johannes, Ferreira, Pedro G.

Understand

In this paper we study multi-gravity (multi-metric and multi-vielbein) theories in the presence of cycles of interactions (cycles in the so-called `theory graph').

It has been conjectured that in multi-metric theories such cycles lead to the introduction of a ghost-like instability, which, however, is absent in the multi-vielbein version of such theories.
In this paper we answer this question in the affirmative by explicitly demonstrating the presence of the ghost in such multi-metric theories in the form of dangerous higher derivative terms in the decoupling limit Lagrangian; we also explain why these terms are absent in the vielbein version of these theories.
Finally we discuss the ramifications of our result on the dimensional deconstruction paradigm, which would seek an equivalence between such theories and a truncated Kaluza-Klein theory, and find that the impediment to taking the continuum limit due to a low strong-coupling scale is exacerbated by the presence of the ghost, when these theories are constructed using metrics.

Built on

M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
1939
Earlier work this paper cites.
D. Boulware and S. Deser, Can gravitation have a finite range?
1972
Earlier work this paper cites.
N. Boulanger, T. Damour, L. Gualtieri, and M. Henneaux, Inconsistency of interacting, multigraviton theories
2001
Earlier work this paper cites.
N. Arkani-Hamed, A. G. Cohen, and H. Georgi, (De)constructing dimensions
2001
Earlier work this paper cites.
M. D. Schwartz, Constructing gravitational dimensions
2003
Earlier work this paper cites.
N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, Effective field theory for massive gravitons and gravity in theory space
2003
Earlier work this paper cites.
N. Arkani-Hamed and M. D. Schwartz, Discrete gravitational dimensions
2004
Earlier work this paper cites.
C. Deffayet and J. Mourad, Multigravity from a discrete extra dimension
2004
Earlier work this paper cites.
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action
Original
2010
Earlier work this paper cites.