https://doi.org/10.1140/epjc/s10052-020-7934-6
Regular Article - Theoretical Physics
Perturbative ground states of the 1+1d double-well
1
Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
2
University of the Chinese Academy of Sciences, Beijing, 100049, China
* e-mail: jarah@impcas.ac.cn
Received:
5
March
2020
Accepted:
14
April
2020
Published online:
4
May
2020
At second order in perturbation theory, we find the ground states of the 
double-well quantum field theory in 1+1 dimensions. The operators which create these ground states from the free vacuum are constructed explicitly at this order, as is the operator which interpolates between the ground states. As a warmup we perform the analogous calculation in quantum mechanics, where the true ground state is unique but in perturbation theory there are also two ground states.
© The Author(s), 2020
