Abstract
Perturbing a CFT by a relevant operator on a half space and letting the perturbation flow to the far infrared we obtain an RG interface between the UV and IR CFTs. If the IR CFT is trivial we obtain an RG boundary condition. The space of massive perturbations thus breaks up into regions labelled by conformal boundary conditions of the UV fixed point. For the 2D critical Ising model perturbed by a generic relevant operator we find the assignment of RG boundary conditions to all flows. We use some analytic results but mostly rely on TCSA and TFFSA numerical techniques. We investigate real as well as imaginary values of the magnetic field and, in particular, the RG trajectory that ends at the YangLee CFT. We argue that the RG interface in the latter case does not approach a single conformal interface but rather exhibits oscillatory nonconvergent behaviour.
Original language  English 

Article number  145403 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  50 
Issue number  14 
Early online date  10 Mar 2017 
DOIs  
Publication status  Published  7 Apr 2017 
Fingerprint Dive into the research topics of 'RG boundaries and interfaces in Ising field theory'. Together they form a unique fingerprint.
Profiles

Anatoly Konechny
 School of Mathematical & Computer Sciences  Associate Professor
 School of Mathematical & Computer Sciences, Mathematics  Associate Professor
Person: Academic (Research & Teaching)