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arXiv 1104.2846hep-thastro-ph.CO
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暴胀过程中引力子的非高斯性

On graviton non-Gaussianities during inflation

Juan M. Maldacena, Guilherme L. Pimentel

摘要:

我们考虑在完全de Sitter展开期间产生的引力波的最一般的三点函数。德西特等距将可能的形状限制为只有三种:两种保持奇偶性,一种违反奇偶性。这些等距性意味着这些关联函数应该是共形不变的。其中一种形状是由普通重力作用产生的。另一个形状是由更高的导数校正产生的,并且可以与重力贡献一样大。宇称破坏形状对双谱[1106.3228,1108.0175]没有贡献,即使它存在于波函数中。我们还引入了旋量螺旋度形式来描述具有圆偏振的de Sitter引力波。这些结果也适用于Anti-de Sitter空间中的关联函数。它们还描述了三维共形场论中动量空间中应力张量关联函数的一般形式。在这里,所有三种形状都可以出现,包括违反宇称的一种。

英文摘要:

We consider the most general three point function for gravitational waves produced during a period of exactly de Sitter expansion. The de Sitter isometries constrain the possible shapes to only three: two preserving parity and one violating parity. These isometries imply that these correlation functions should be conformal invariant. One of the shapes is produced by the ordinary gravity action. The other shape is produced by a higher derivative correction and could be as large as the gravity contribution. The parity violating shape does not contribute to the bispectrum [1106.3228, 1108.0175], even though it is present in the wavefunction. We also introduce a spinor helicity formalism to describe de Sitter gravitational waves with circular polarization. These results also apply to correlation functions in Anti-de Sitter space. They also describe the general form of stress tensor correlation functions, in momentum space, in a three dimensional conformal field theory. Here all three shapes can arise, including the parity violating one.

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