Abstract
The sine-Gordon theory is generalized to include many scalar fields and several cosine terms. This is similar to the world sheet description of a string propagating in a tachyon background. This model is studied as a (boundary) 2D Euclidean field theory and also using an holographic bulk dual. The beta functions for the cosine vertex of this modified theory are first computed in the boundary using techniques based on the exact RG. The beta functions are also computed holographically using position space and momentum space techniques. The results are in agreement with each other and with earlier computations. The cosine perturbation is of the form . Due to wave function renormalization the parameter , and thus the dimension of the cosine, get renormalized. The beta function for this parameter is thus directly related to the anomalous dimension of the field. We compute this beta function in position space. They match with the earlier results in [P. Oak and B. Sathiapalan, Exact renormalization group and sine-Gordon theory, J. High Energy Phys. 07 (2017) 103; P. Oak and B. SathiapalanJ. High Energy Phys. 09 (2017) 77.].
- Received 30 November 2018
DOI:https://doi.org/10.1103/PhysRevD.99.046009
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society