All-loop anomalous dimensions in integrable λ-deformed σ-models

Georgiou, George; Konstantinos, Sfetsos; Siampos, Konstadinos (2015). All-loop anomalous dimensions in integrable λ-deformed σ-models. Nuclear physics. B, 901, pp. 40-58. North Holland 10.1016/j.nuclphysb.2015.10.007

[img]
Preview
Text
1-s2.0-S055032131500351X-main.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (358kB) | Preview

We calculate the all-loop anomalous dimensions of current operators in λ-deformed σ-models. For the isotropic integrable deformation and for a semi-simple group G we compute the anomalous dimensions using two different methods. In the first we use the all-loop effective action and in the second we employ perturbation theory along with the Callan–Symanzik equation and in conjunction with a duality-type symmetry shared by these models. Furthermore, using CFT techniques we compute the all-loop anomalous dimension of bilinear currents for the isotropic deformation case and a general G . Finally we work out the anomalous dimension matrix for the cases of anisotropic SU(2) and the two couplings, corresponding to the symmetric coset G/H and a subgroup H, splitting of a group G.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Konstantinos, Sfetsos and Siampos, Konstadinos

Subjects:

500 Science > 530 Physics

ISSN:

0550-3213

Publisher:

North Holland

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

17 Dec 2015 14:35

Last Modified:

17 Dec 2015 14:35

Publisher DOI:

10.1016/j.nuclphysb.2015.10.007

BORIS DOI:

10.7892/boris.74087

URI:

https://boris.unibe.ch/id/eprint/74087

Actions (login required)

Edit item Edit item
Provide Feedback