Monte-Carlo renormalization group study of gauged RP2 spin models in two dimensions

S. M. Catterall; M. Hasenbusch; R. R. Horgan; R. Renken

doi:10.1016/S0920-5632(97)00867-0

Monte-Carlo renormalization group study of gauged RP² spin models in two dimensions

S. M. Catterall, M. Hasenbusch, R. R. Horgan, R. Renken

Department of Physics

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Abstract

The 2D RP² gauge model is studied using the Monte-Carlo Renormalization Group (MCRG). We confirm the first-order transition reported in [1] ending in a critical point associated with vorticity. We find evidence for a new renormalized trajectory (RT) which is responsible for a cross-over from the vortex dominated regime to the O(3) regime as the coupling is reduced. Near to the cross-over region a good signal for scaling will be observed in RP² but this is illusory and is due to the proximity of the RT. We suggest that this is the origin of the 'pseudo'-scaling observed in [2]. We find that the continuum limit of RP² is controlled by the O(3) fixed point.

Original language	English (US)
Pages (from-to)	670-672
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	63
Issue number	1-3
DOIs	https://doi.org/10.1016/S0920-5632(97)00867-0
State	Published - Apr 1998

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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title = "Monte-Carlo renormalization group study of gauged RP2 spin models in two dimensions",

abstract = "The 2D RP2 gauge model is studied using the Monte-Carlo Renormalization Group (MCRG). We confirm the first-order transition reported in [1] ending in a critical point associated with vorticity. We find evidence for a new renormalized trajectory (RT) which is responsible for a cross-over from the vortex dominated regime to the O(3) regime as the coupling is reduced. Near to the cross-over region a good signal for scaling will be observed in RP2 but this is illusory and is due to the proximity of the RT. We suggest that this is the origin of the 'pseudo'-scaling observed in [2]. We find that the continuum limit of RP2 is controlled by the O(3) fixed point.",

author = "Catterall, {S. M.} and M. Hasenbusch and Horgan, {R. R.} and R. Renken",

note = "Funding Information: *Presented by R.R. Horgan. This work is supported by NATO collaborative research grant no. CRG950234 and in part by the Leverhulme Trust.",

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doi = "10.1016/S0920-5632(97)00867-0",

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T1 - Monte-Carlo renormalization group study of gauged RP2 spin models in two dimensions

AU - Catterall, S. M.

AU - Hasenbusch, M.

AU - Horgan, R. R.

AU - Renken, R.

N1 - Funding Information: *Presented by R.R. Horgan. This work is supported by NATO collaborative research grant no. CRG950234 and in part by the Leverhulme Trust.

PY - 1998/4

Y1 - 1998/4

N2 - The 2D RP2 gauge model is studied using the Monte-Carlo Renormalization Group (MCRG). We confirm the first-order transition reported in [1] ending in a critical point associated with vorticity. We find evidence for a new renormalized trajectory (RT) which is responsible for a cross-over from the vortex dominated regime to the O(3) regime as the coupling is reduced. Near to the cross-over region a good signal for scaling will be observed in RP2 but this is illusory and is due to the proximity of the RT. We suggest that this is the origin of the 'pseudo'-scaling observed in [2]. We find that the continuum limit of RP2 is controlled by the O(3) fixed point.

AB - The 2D RP2 gauge model is studied using the Monte-Carlo Renormalization Group (MCRG). We confirm the first-order transition reported in [1] ending in a critical point associated with vorticity. We find evidence for a new renormalized trajectory (RT) which is responsible for a cross-over from the vortex dominated regime to the O(3) regime as the coupling is reduced. Near to the cross-over region a good signal for scaling will be observed in RP2 but this is illusory and is due to the proximity of the RT. We suggest that this is the origin of the 'pseudo'-scaling observed in [2]. We find that the continuum limit of RP2 is controlled by the O(3) fixed point.

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Monte-Carlo renormalization group study of gauged RP² spin models in two dimensions

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