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arXiv · 1504.07856

Violation of Kubo-Martin-Schwinger condition along a Rindler trajectory in polymer quantization

Golam Mortuza Hossain·Gopal Sardar
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Abstract

Existence of Unruh effect is often understood from the property of two-point function along Rindler trajectory where it satisfies KMS condition. In particular, it exhibits the so-called KMS periodicity along imaginary time direction. Corresponding period is then identified with reciprocal of Unruh temperature times Boltzmann constant. We show here that the two-point function including leading order perturbative corrections due to polymer quantization, the quantization method used in loop quantum gravity, violates KMS condition in low-energy regime. This violation is caused by correction terms which are not Lorentz invariants. Consequently, polymer corrected two-point function along Rindler trajectory looses its thermal interpretation. We discuss its implications on existence of Unruh effect in the context of polymer quantization.

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Golam Mortuza Hossain, Gopal Sardar. 2015-04-29. Violation of Kubo-Martin-Schwinger condition along a Rindler trajectory in polymer quantization. https://arxiv.org/abs/1504.07856

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