https://doi.org/10.1140/epjc/s10052-023-11966-1
Regular Article - Theoretical Physics
Scaling dimension of Cooper pair operator from the black hole interior
1
Department of Physics, POSTECH, 37673, Pohang, Gyeongbuk, Korea
2
Asia Pacific Center for Theoretical Physics (APCTP), 37673, Pohang, Gyeongbuk, Korea
3
Department of Physics, Hanyang University, 04763, Seoul, South Korea
Received:
30
January
2023
Accepted:
26
August
2023
Published online:
7
September
2023
We have shown that in holographic superconductivity theory for 3+1 dimensional system, the scaling dimension of Cooper pair operator can be obtained as a quantized value if we request that the the scalar function describing the order parameter is finite inside the black hole as well as outside. This should be contrasted to the usual situation where we set the mass squared of the scalar by hand. Our method can be applied to any order parameters.
© The Author(s) 2023
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