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Phys. Rev. D, 107, 065010 (2023)

Soft gluon theorems in curved spacetime

Peng Cheng1,2 and Pujian Mao1

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China.

2 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, 222 South Tianshui Road, Lanzhou 730000, Gansu, China.

p.cheng.nl@outlook.com, pjmao@tju.edu.cn

Abstract

In this paper, we derive a soft gluon theorem in the near horizon region of the Schwarzschild black hole from the Ward identity of the near horizon large gauge transformation. The flat spacetime soft gluon theorem can be recovered as a limiting case of the curved spacetime.

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Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China