Cargando…
Generalising the staircase models
Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and num...
Autores principales: | , |
---|---|
Lenguaje: | eng |
Publicado: |
1993
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/0550-3213(93)90007-C http://cds.cern.ch/record/565566 |
_version_ | 1780899149930037248 |
---|---|
author | Dorey, Patrick Ravanini, Francesco |
author_facet | Dorey, Patrick Ravanini, Francesco |
author_sort | Dorey, Patrick |
collection | CERN |
description | Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and numerical evidence is given for the existence of a variety of new roaming renormalisation group trajectories. For each positive integer $k$ and $s=0,\dots, k-1$, there is a one-parameter family of trajectories, passing close by the coset conformal field theories $G^{(k)}\times G^{(nk+s)}/G^{((n+1)k+s)}$ before finally flowing to a massive theory for $s=0$, or to another coset model for $s \neq 0$. |
id | cern-565566 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1993 |
record_format | invenio |
spelling | cern-5655662020-07-23T21:24:44Zdoi:10.1016/0550-3213(93)90007-Chttp://cds.cern.ch/record/565566engDorey, PatrickRavanini, FrancescoGeneralising the staircase modelsParticle Physics - TheorySystems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and numerical evidence is given for the existence of a variety of new roaming renormalisation group trajectories. For each positive integer $k$ and $s=0,\dots, k-1$, there is a one-parameter family of trajectories, passing close by the coset conformal field theories $G^{(k)}\times G^{(nk+s)}/G^{((n+1)k+s)}$ before finally flowing to a massive theory for $s=0$, or to another coset model for $s \neq 0$.Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and numerical evidence is given for the existence of a variety of new roaming renormalisation group trajectories. For each positive integer $k$ and $s=0,\dots, k-1$, there is a one-parameter family of trajectories, passing close by the coset conformal field theories $G~{(k)}\times G~{(nk+s)}/G~{((n+1)k+s)}$ before finally flowing to a massive theory for $s=0$, or to another coset model for $s \neq 0$.Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relatistic field theories via the thermodynamic Bethe ansatz, analytical and numerical evidence is given for the existence of a variety of new roaming renormalisation group trajectories. For each positive integer k and s = 0,..., k − 1, there is a one-parameter family of trajectories, passing close by the coset conformal field theories G (k) × G (nk+s) / G ((n+1)(k+s) before finally flowing to a massive theory for s = 0, or to another coset model for s ≠ 0.hep-th/9211115CERN-TH-6732-92NI-92009DFUB-92-21CERN-TH-6732-92DFUB-92-21oai:cds.cern.ch:5655661993 |
spellingShingle | Particle Physics - Theory Dorey, Patrick Ravanini, Francesco Generalising the staircase models |
title | Generalising the staircase models |
title_full | Generalising the staircase models |
title_fullStr | Generalising the staircase models |
title_full_unstemmed | Generalising the staircase models |
title_short | Generalising the staircase models |
title_sort | generalising the staircase models |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/0550-3213(93)90007-C http://cds.cern.ch/record/565566 |
work_keys_str_mv | AT doreypatrick generalisingthestaircasemodels AT ravaninifrancesco generalisingthestaircasemodels |