Pauli-Fierz mass term in modified Plebanski gravity

Pauli-Fierz mass term in modified Plebanski gravity
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修正普列班斯基引力中的泡利-菲尔兹质量项

DOI:
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发表时间:
2011
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影响因子:
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通讯作者:
Simone Speziale
Simone Speziale
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作者:
D. Beke;Giovanni Palmisano;Simone Speziale

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我们研究了SO(4) BF理论加上一个一般的二次势,它描述了一个双度量的重力理论。我们确定了导致大质量引力子的Pauli-Fierz质量项的势的轮廓,从而避免了线性化的幽灵。我们在分析中加入了Immirzi参数,并发现第二引力子的质量依赖于它。在非摄动水平上,我们发现了一种类似于真正双引力的情况:即使选择Pauli-Fierz质量项,鬼模也会通过相互作用传播。我们给出了一些导致二自由度和三自由度的简单势,并讨论了寻找具有七自由度的无鬼双重力的困难。最后,讨论了与洛伦兹签名相关的SO(3,1) BF理论的替代现实条件,并给出了相容方程的新解。
A bstractWe study SO(4) BF theory plus a general quadratic potential, which describes a bi-metric theory of gravity. We identify the profile of the potential leading to a Pauli-Fierz mass term for the massive graviton, thereby avoiding the linearized ghost. We include the Immirzi parameter in our analysis, and find that the mass of the second graviton depends on it. At the non-perturbative level, we find a situation similar to genuine bi-gravities: even choosing the Pauli-Fierz mass term, the ghost mode propagates through the interactions. We present some simple potentials leading to two and three degrees of freedom, and discuss the difficulties of finding a ghost-free bi-gravity with seven degrees of freedom. Finally, we discuss alternative reality conditions for the case of SO(3,1) BF theory, relevant for Lorentzian signature, and give a new solution to the compatibility equation.
DOI: 10.1103/physrevd.79.063511
发表时间: 2009-03-01
期刊: PHYSICAL REVIEW D
影响因子: 5
作者:
Banados, M.;Ferreira, P. G.;Skordis, C.
通讯作者: Skordis, C.