Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model
Coupling of `t Hooft’s determinant term is investigated in the framework of the three-flavor linear sigma model as a function of the chiral condensate. Using perturbation theory around the minimum point of the effective action, we calculate the renormalization group flow of the first field-dependent...
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MDPI AG
2021-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/3/488 |
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doaj-749ca356b587424598083d8a769640a42021-03-17T00:06:35ZengMDPI AGSymmetry2073-89942021-03-011348848810.3390/sym13030488Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma ModelGergely Fejos0Institute of Physics, Eötvös University Budapest, H-1117 Budapest, HungaryCoupling of `t Hooft’s determinant term is investigated in the framework of the three-flavor linear sigma model as a function of the chiral condensate. Using perturbation theory around the minimum point of the effective action, we calculate the renormalization group flow of the first field-dependent correction to the coupling of the conventional <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>U</mi><mi>A</mi></msub><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula> breaking determinant term. It is found that, at low temperatures, mesonic fluctuations make the anomaly increase when the chiral condensate decreases. As an application, we analyze the effect at the zero temperature nuclear liquid–gas transition.https://www.mdpi.com/2073-8994/13/3/488axial anomalynuclear liquid-gas transitionrenormalization group |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gergely Fejos |
| spellingShingle |
Gergely Fejos Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model Symmetry axial anomaly nuclear liquid-gas transition renormalization group |
| author_facet |
Gergely Fejos |
| author_sort |
Gergely Fejos |
| title |
Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model |
| title_short |
Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model |
| title_full |
Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model |
| title_fullStr |
Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model |
| title_full_unstemmed |
Perturbative RG Analysis of the Condensate Dependence of the Axial Anomaly in the Three-Flavor Linear Sigma Model |
| title_sort |
perturbative rg analysis of the condensate dependence of the axial anomaly in the three-flavor linear sigma model |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2021-03-01 |
| description |
Coupling of `t Hooft’s determinant term is investigated in the framework of the three-flavor linear sigma model as a function of the chiral condensate. Using perturbation theory around the minimum point of the effective action, we calculate the renormalization group flow of the first field-dependent correction to the coupling of the conventional <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>U</mi><mi>A</mi></msub><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula> breaking determinant term. It is found that, at low temperatures, mesonic fluctuations make the anomaly increase when the chiral condensate decreases. As an application, we analyze the effect at the zero temperature nuclear liquid–gas transition. |
| topic |
axial anomaly nuclear liquid-gas transition renormalization group |
| url |
https://www.mdpi.com/2073-8994/13/3/488 |
| work_keys_str_mv |
AT gergelyfejos perturbativerganalysisofthecondensatedependenceoftheaxialanomalyinthethreeflavorlinearsigmamodel |
| _version_ |
1724219002450870272 |