TY - GEN

T1 - Entanglement of the vacuum between left, right, future, and past

AU - Ueda, Kazushige

AU - Higuchi, Atsushi

AU - Iso, Satoshi

AU - Yamamoto, Kazuhiro

AU - Tatsukawa, Rumi

N1 - Publisher Copyright:
© JGRG 2017.

PY - 2017

Y1 - 2017

N2 - It is well known that the Minkowski vacuum is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. We clarify the expression of the Minkowski vacuum extended from the ordinary left and right regions to the entire Minkowski space-time, including the Kasner expanding universe and Kasner shrinking universe. Our result clarifies the structure of the entanglement of the Minkowski vacuum state in a unified manner and makes it possible to give an operator interpretation of the calculation of the two-point correlation functions. We also investigate the two-dimensional case, and clarify that a similar structure appears in the two-point function of the field.

AB - It is well known that the Minkowski vacuum is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. We clarify the expression of the Minkowski vacuum extended from the ordinary left and right regions to the entire Minkowski space-time, including the Kasner expanding universe and Kasner shrinking universe. Our result clarifies the structure of the entanglement of the Minkowski vacuum state in a unified manner and makes it possible to give an operator interpretation of the calculation of the two-point correlation functions. We also investigate the two-dimensional case, and clarify that a similar structure appears in the two-point function of the field.

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M3 - Conference contribution

AN - SCOPUS:85092146822

T3 - Proceedings of the 27th Workshop on General Relativity and Gravitation in Japan, JGRG 2017

SP - 96

EP - 97

BT - Proceedings of the 27th Workshop on General Relativity and Gravitation in Japan, JGRG 2017

PB - Hiroshima University

T2 - 27th Workshop on General Relativity and Gravitation in Japan, JGRG 2017

Y2 - 27 November 2017 through 1 December 2017

ER -