A note on a boundary sine-Gordon model at the free-Fermion point. (22nd February 2018)

• Record Type: Journal Article
• Authors: Murgan, Rajan
• Is Part Of: Journal of statistical mechanics. (2018:Feb.)
• Publication Date: 2018-02-22
• Subjects: 1; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aaa8f1
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigate the free-Fermion point of a boundary sine-Gordon model with nondiagonal boundary interactions for the ground state using auxiliary functions obtained from T − Q equations of a corresponding inhomogeneous open spin- 1 2 XXZ chain with nondiagonal boundary terms. In particular, we obtain the Casimir energy. Our result for the Casimir energy is shown to agree with the result from the TBA approach. The analytical result for the effective central charge in the ultraviolet (UV) limit is also verified from the plots of effective central charge for intermediate values of volume.