Alladi Ramakrishnan Hall

Aspects of polymer quantization of scalar matter field

Gopal Sardar

IIT-Jodhpur

If an Unruh-DeWittdetector moves with uniform acceleration in Fock-space vacuum, then the transition rate of the detector is proportional to the thermal spectrum. It is well known that the transition rate of the detector crucially depends on the two-point function along the detectors trajectory and in order to compute it the standard $“i\epsilon”$ regularization is used for Fock space. Numerically, we show that the regulator $\epsilon$ is generic in polymer quantization, the quantization method used in loop quantum gravity and the transition rate of the accelerated detector is seen to have a non-thermal contribution in polymer quantization. Further, we show that the two-point function including leading-order perturbative corrections due to polymer quantization violates Kubo-Martin-Schwinger (KMS)condition in low-energy regime. Consequently, polymer corrected two-point function along Rindler trajectory loses its thermal interpretation which provides additional support to the non-thermal transition rate of the uniform accelerated the detector. We also discuss the response of an inertial Unruh-DeWitt detector.