Studying the perturbed Wess–Zumino–Novikov–Witten SU(2) theory using the truncated conformal spectrum approach
Abstract
We study the SU(2)k Wess-Zumino-Novikov-Witten (WZNW) theory perturbed by the trace of the primary field in the adjoint representation, a theory governing the low-energy behaviour of a class of strongly correlated electronic systems. While the model is non-integrable, its dynamics can be investigated using the numerical technique of the truncated conformal spectrum approach combined with numerical and analytical renormalization groups (TCSA+RG). The numerical results so obtained provide support for a semiclassical analysis valid at k » 1. Namely, we find that the low energy behavior is sensitive to the sign of the coupling constant, λ. Moreover for λ > 0 this behavior depends on whether k is even or odd. With k even, we find definitive evidence that the model at low energies is equivalent to the massive O(3) sigma model. For k odd, the numerical evidence is more equivocal, but we find indications that the low energy effective theory is critical.
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1213811
- Alternate Identifier(s):
- OSTI ID: 1226038; OSTI ID: 1226041
- Report Number(s):
- BNL-108328-2015-JA; BNL-108387-2015-JA
Journal ID: ISSN 0550-3213; S0550321315003016; PII: S0550321315003016
- Grant/Contract Number:
- AC02-98 CH 10886; SC00112704
- Resource Type:
- Published Article
- Journal Name:
- Nuclear Physics. B
- Additional Journal Information:
- Journal Name: Nuclear Physics. B Journal Volume: 899 Journal Issue: C; Journal ID: ISSN 0550-3213
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Konik, R. M., Pálmai, T., Takács, G., and Tsvelik, A. M. Studying the perturbed Wess–Zumino–Novikov–Witten SU(2) theory using the truncated conformal spectrum approach. Netherlands: N. p., 2015.
Web. doi:10.1016/j.nuclphysb.2015.08.016.
Konik, R. M., Pálmai, T., Takács, G., & Tsvelik, A. M. Studying the perturbed Wess–Zumino–Novikov–Witten SU(2) theory using the truncated conformal spectrum approach. Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.08.016
Konik, R. M., Pálmai, T., Takács, G., and Tsvelik, A. M. Thu .
"Studying the perturbed Wess–Zumino–Novikov–Witten SU(2) theory using the truncated conformal spectrum approach". Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.08.016.
@article{osti_1213811,
title = {Studying the perturbed Wess–Zumino–Novikov–Witten SU(2) theory using the truncated conformal spectrum approach},
author = {Konik, R. M. and Pálmai, T. and Takács, G. and Tsvelik, A. M.},
abstractNote = {We study the SU(2)k Wess-Zumino-Novikov-Witten (WZNW) theory perturbed by the trace of the primary field in the adjoint representation, a theory governing the low-energy behaviour of a class of strongly correlated electronic systems. While the model is non-integrable, its dynamics can be investigated using the numerical technique of the truncated conformal spectrum approach combined with numerical and analytical renormalization groups (TCSA+RG). The numerical results so obtained provide support for a semiclassical analysis valid at k » 1. Namely, we find that the low energy behavior is sensitive to the sign of the coupling constant, λ. Moreover for λ > 0 this behavior depends on whether k is even or odd. With k even, we find definitive evidence that the model at low energies is equivalent to the massive O(3) sigma model. For k odd, the numerical evidence is more equivocal, but we find indications that the low energy effective theory is critical.},
doi = {10.1016/j.nuclphysb.2015.08.016},
journal = {Nuclear Physics. B},
number = C,
volume = 899,
place = {Netherlands},
year = {Thu Oct 01 00:00:00 EDT 2015},
month = {Thu Oct 01 00:00:00 EDT 2015}
}
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https://doi.org/10.1016/j.nuclphysb.2015.08.016
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Cited by: 18 works
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