TY - JOUR
T1 - Casimir force for the CPN−1 model
AU - Flachi, Antonino
AU - Nitta, Muneto
AU - Takada, Satoshi
AU - Yoshii, Ryosuke
N1 - Funding Information:
The authors thank Kenichi Konishi and Keisuke Ohashi for informing us of their results. The authors gratefully acknowledge the Ministry of Education, Culture, Sports, Science ( MEXT )-Supported Program for the Strategic Research Foundation at Private Universities ‘Topological Science’ (Grant No. S1511006 ). The work of M. N. is supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 16H03984 and No. 18H01217 ) and by a Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” (KAKENHI Grant No. 15H05855 ) from the MEXT of Japan. The work of R. Y. is supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 19K14616 ).
Funding Information:
The authors thank Kenichi Konishi and Keisuke Ohashi for informing us of their results. The authors gratefully acknowledge the Ministry of Education, Culture, Sports, Science (MEXT)-Supported Program for the Strategic Research Foundation at Private Universities ‘Topological Science’ (Grant No. S1511006). The work of M. N. is supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 16H03984 and No. 18H01217) and by a Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” (KAKENHI Grant No. 15H05855) from the MEXT of Japan. The work of R. Y. is supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 19K14616).
Publisher Copyright:
© 2019
PY - 2019/11/10
Y1 - 2019/11/10
N2 - In this work, we derive exact self-consistent solutions to the gap equations of the CPN−1 model on a finite interval with Dirichlet boundary conditions in the large-N approximation. The solution reproduces the confining phase in the infinite system by taking the appropriate limit. We compute the vacuum energy and the Casimir force and observe that the sign of the force is always attractive.
AB - In this work, we derive exact self-consistent solutions to the gap equations of the CPN−1 model on a finite interval with Dirichlet boundary conditions in the large-N approximation. The solution reproduces the confining phase in the infinite system by taking the appropriate limit. We compute the vacuum energy and the Casimir force and observe that the sign of the force is always attractive.
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U2 - 10.1016/j.physletb.2019.134999
DO - 10.1016/j.physletb.2019.134999
M3 - Article
AN - SCOPUS:85073036997
SN - 0370-2693
VL - 798
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
M1 - 134999
ER -