Studying the Perturbed WessZuminoNovikovWitten SU(2) _{k} Theory Using the Truncated Conformal Spectrum Approach
We study the SU(2) _{k} WessZuminoNovikovWitten (WZNW) theory perturbed by the trace of the primary field in the adjoint representation, a theory governing the lowenergy behaviour of a class of strongly correlated electronic systems. While the model is nonintegrable, 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.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[1]}
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 MTABME “Momentum” Statistical Field Theory Research Group, Budapest (Hungary)
 MTABME “Momentum” Statistical Field Theory Research Group, Budapest (Hungary); Budapest Univ. of Technology and Economics (Hungary)
 Publication Date:
 Report Number(s):
 BNL1083282015JA; BNL1083872015JA
Journal ID: ISSN 05503213; R&D Project: PO015; KC0202030
 Grant/Contract Number:
 SC00112704; AC0298 CH 10886
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 889; Journal ID: ISSN 05503213
 Publisher:
 Elsevier
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1213811
 Alternate Identifier(s):
 OSTI ID: 1226038; OSTI ID: 1226041
Konik, R. M., Palmai, T., Takacs, G., and Tsvelik, A. M.. Studying the Perturbed WessZuminoNovikovWitten SU(2)k Theory Using the Truncated Conformal Spectrum Approach. United States: N. p.,
Web. doi:10.1016/j.nuclphysb.2015.08.016.
Konik, R. M., Palmai, T., Takacs, G., & Tsvelik, A. M.. Studying the Perturbed WessZuminoNovikovWitten SU(2)k Theory Using the Truncated Conformal Spectrum Approach. United States. doi:10.1016/j.nuclphysb.2015.08.016.
Konik, R. M., Palmai, T., Takacs, G., and Tsvelik, A. M.. 2015.
"Studying the Perturbed WessZuminoNovikovWitten SU(2)k Theory Using the Truncated Conformal Spectrum Approach". United States.
doi:10.1016/j.nuclphysb.2015.08.016.
@article{osti_1213811,
title = {Studying the Perturbed WessZuminoNovikovWitten SU(2)k Theory Using the Truncated Conformal Spectrum Approach},
author = {Konik, R. M. and Palmai, T. and Takacs, G. and Tsvelik, A. M.},
abstractNote = {We study the SU(2)k WessZuminoNovikovWitten (WZNW) theory perturbed by the trace of the primary field in the adjoint representation, a theory governing the lowenergy behaviour of a class of strongly correlated electronic systems. While the model is nonintegrable, 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 = ,
volume = 889,
place = {United States},
year = {2015},
month = {8}
}