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Exact infrared scaling behavior of Randers–Finsler scalar field theories.

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Title: Exact infrared scaling behavior of Randers–Finsler scalar field theories.
Authors: Mendes, M. S.1 (AUTHOR), Neto, J. F. S.1 (AUTHOR), Silva, R. F.1 (AUTHOR), Costa, H. A. S.1 (AUTHOR), Carvalho, P. R. S.1 (AUTHOR) prscarvalho@ufpi.edu.br
Source: International Journal of Geometric Methods in Modern Physics. Oct2026, Vol. 23 Issue 12, p1-15. 15p.
Subjects: Scalar field theory, Critical exponents, Renormalization group, Radiative corrections
Abstract: We study the scaling behavior of Randers–Finsler massless scalar field theories in the infrared regime. For that, we compute analytically the radiative corrections to the corresponding anomalous dimensions, related to the critical exponents of the theory, first up to next-to-leading loop order and later for all-loop levels. We consider the effect of the Randers–Finsler space-time properties on the critical exponents by considering the parameter characterizing those space-times in its exact form. We employ field-theoretic renormalization group and -expansion techniques at dimensions d = 4 − through three distinct and independent methods. In the end, we furnish the physical interpretation of the obtained results. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193982429
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PubTypeId: academicJournal
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  Data: Exact infrared scaling behavior of Randers–Finsler scalar field theories.
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  Data: <searchLink fieldCode="AR" term="%22Mendes%2C+M%2E+S%2E%22">Mendes, M. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Neto%2C+J%2E+F%2E+S%2E%22">Neto, J. F. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Silva%2C+R%2E+F%2E%22">Silva, R. F.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Costa%2C+H%2E+A%2E+S%2E%22">Costa, H. A. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Carvalho%2C+P%2E+R%2E+S%2E%22">Carvalho, P. R. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> prscarvalho@ufpi.edu.br</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Geometric+Methods+in+Modern+Physics%22">International Journal of Geometric Methods in Modern Physics</searchLink>. Oct2026, Vol. 23 Issue 12, p1-15. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Scalar+field+theory%22">Scalar field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Critical+exponents%22">Critical exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Renormalization+group%22">Renormalization group</searchLink><br /><searchLink fieldCode="DE" term="%22Radiative+corrections%22">Radiative corrections</searchLink>
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  Label: Abstract
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  Data: We study the scaling behavior of Randers–Finsler massless scalar field theories in the infrared regime. For that, we compute analytically the radiative corrections to the corresponding anomalous dimensions, related to the critical exponents of the theory, first up to next-to-leading loop order and later for all-loop levels. We consider the effect of the Randers–Finsler space-time properties on the critical exponents by considering the parameter characterizing those space-times in its exact form. We employ field-theoretic renormalization group and -expansion techniques at dimensions d = 4 − through three distinct and independent methods. In the end, we furnish the physical interpretation of the obtained results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0219887825502998
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        Text: English
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      – SubjectFull: Critical exponents
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      – SubjectFull: Renormalization group
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      – SubjectFull: Radiative corrections
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              Text: Oct2026
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