Citation

BibTex format

@article{Chester:2025:10.1103/vqss-l6f9,
author = {Chester, SM and Su, N},
doi = {10.1103/vqss-l6f9},
journal = {Physical Review D},
title = {Upper critical dimension of the 3-state Potts model},
url = {http://dx.doi.org/10.1103/vqss-l6f9},
volume = {111},
year = {2025}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:p>                    We consider the 3-state Potts model in                    <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline">                      <a:mi>d</a:mi>                      <a:mo>≥</a:mo>                      <a:mn>2</a:mn>                    </a:math>                    dimensions. For                    <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline">                      <c:mi>d</c:mi>                    </c:math>                    less than the upper critical dimension                    <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline">                      <e:msub>                        <e:mi>d</e:mi>                        <e:mrow>                          <e:mi>crit</e:mi>                        </e:mrow>                      </e:msub>                    </e:math>                    , the model has a critical and a tricritical fixed point. In                    <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline">                      <g:mi>d</g:mi>                      <g:mo>=</g:mo>                      <g:mn>2</g:mn>                    </g:math>                    , these fixed points are described by minimal models, and so are exactly solvable. For                    <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline">                      <i:mi>d</i:mi>                      <i:mo>></i:mo>                      <i:mn>2</i:mn>                    </i:math>                    , however, strong coupling makes them difficult to study and there is no consensus on the value of                    <k:math
AU  - Chester,SM
AU  - Su,N
DO  - 10.1103/vqss-l6f9
PY  - 2025///
SN  - 2470-0010
TI  - Upper critical dimension of the 3-state Potts model
T2  - Physical Review D
UR  - http://dx.doi.org/10.1103/vqss-l6f9
UR  - https://doi.org/10.1103/vqss-l6f9
VL  - 111
ER  -
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