Renormalization group flows in generalized Toda field theories

M. T. Grisaru; A. Lerda; S. Penati; D. Zanon

doi:10.1016/0550-3213(90)90281-H

Renormalization group flows in generalized Toda field theories

M. T. Grisaru
, A. Lerda
, S. Penati
, D. Zanon

Research output: Contribution to journal › Article › peer-review

Abstract

We study the scaling properties and renormalization-group flows of models that describe SU(N) Toda field theories in the presence of a background charge. In the Kosterlitz-Thouless region the N > 2 affine Toda theory is not renormalizable and additional couplings must be included. We consider the SU(3) case in detail and compute in perturbation theory the renormalization group beta-functions. We exhibit RG trajectories connecting UV and IR fixed points where the central charge matches the values of the central charge of conformal field theories with a W₃ algebra. Finally, we generalized out results to arbitrary N.

Original language	English
Pages (from-to)	264-292
Number of pages	29
Journal	Nuclear Physics B
Volume	346
Issue number	2-3
DOIs	https://doi.org/10.1016/0550-3213(90)90281-H
Publication status	Published - 17 Dec 1990
Externally published	Yes

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10.1016/0550-3213(90)90281-H

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@article{b141c10a5ce64fb98a5e284df6764ca1,

title = "Renormalization group flows in generalized Toda field theories",

abstract = "We study the scaling properties and renormalization-group flows of models that describe SU(N) Toda field theories in the presence of a background charge. In the Kosterlitz-Thouless region the N > 2 affine Toda theory is not renormalizable and additional couplings must be included. We consider the SU(3) case in detail and compute in perturbation theory the renormalization group beta-functions. We exhibit RG trajectories connecting UV and IR fixed points where the central charge matches the values of the central charge of conformal field theories with a W3 algebra. Finally, we generalized out results to arbitrary N.",

author = "Grisaru, \{M. T.\} and A. Lerda and S. Penati and D. Zanon",

note = "Funding Information: * Work partially supported by the National Science Foundation, under grant PHY-88-18853 and by INFN, Sezione di Milano. * * Work partially supported by the US Department of Energy, under grant DE-ACO2-76ER03069.",

year = "1990",

month = dec,

day = "17",

doi = "10.1016/0550-3213(90)90281-H",

language = "English",

volume = "346",

pages = "264--292",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier BV",

number = "2-3",

}

TY - JOUR

T1 - Renormalization group flows in generalized Toda field theories

AU - Grisaru, M. T.

AU - Lerda, A.

AU - Penati, S.

AU - Zanon, D.

N1 - Funding Information: * Work partially supported by the National Science Foundation, under grant PHY-88-18853 and by INFN, Sezione di Milano. * * Work partially supported by the US Department of Energy, under grant DE-ACO2-76ER03069.

PY - 1990/12/17

Y1 - 1990/12/17

N2 - We study the scaling properties and renormalization-group flows of models that describe SU(N) Toda field theories in the presence of a background charge. In the Kosterlitz-Thouless region the N > 2 affine Toda theory is not renormalizable and additional couplings must be included. We consider the SU(3) case in detail and compute in perturbation theory the renormalization group beta-functions. We exhibit RG trajectories connecting UV and IR fixed points where the central charge matches the values of the central charge of conformal field theories with a W3 algebra. Finally, we generalized out results to arbitrary N.

AB - We study the scaling properties and renormalization-group flows of models that describe SU(N) Toda field theories in the presence of a background charge. In the Kosterlitz-Thouless region the N > 2 affine Toda theory is not renormalizable and additional couplings must be included. We consider the SU(3) case in detail and compute in perturbation theory the renormalization group beta-functions. We exhibit RG trajectories connecting UV and IR fixed points where the central charge matches the values of the central charge of conformal field theories with a W3 algebra. Finally, we generalized out results to arbitrary N.

UR - https://www.scopus.com/pages/publications/0007844458

U2 - 10.1016/0550-3213(90)90281-H

DO - 10.1016/0550-3213(90)90281-H

M3 - Article

SN - 0550-3213

VL - 346

SP - 264

EP - 292

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 2-3

ER -

Renormalization group flows in generalized Toda field theories

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