Critical scaling for spectral functions.

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Title: Critical scaling for spectral functions.
Authors: Kockler, Konrad1 (AUTHOR) kockler@thphys.uni-heidelberg.de, Pawlowski, Jan M.1,2 (AUTHOR), Wessely, Jonas1 (AUTHOR)
Source: European Physical Journal C -- Particles & Fields. Sep2025, Vol. 85 Issue 9, p1-18. 18p.
Subjects: Scalar field theory, Critical exponents, Critical phenomena (Physics), Dimensionless numbers, Spectral theory, Lorentz invariance, Density of states
Abstract: We study real-time scalar ϕ 4 -theory in 2+1 dimensions near criticality. Specifically, we compute the single-particle spectral function and that of the s-channel four-point function in and outside the scaling regime. The computation is done with the spectral functional Callan–Symanzik equation, which exhibits manifest Lorentz invariance and preserves causality. We extract the scaling exponent η from the spectral function and compare our result with that from a Euclidean fixed point analysis. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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.)
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  Data: Critical scaling for spectral functions.
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  Data: <searchLink fieldCode="AR" term="%22Kockler%2C+Konrad%22">Kockler, Konrad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kockler@thphys.uni-heidelberg.de</i><br /><searchLink fieldCode="AR" term="%22Pawlowski%2C+Jan+M%2E%22">Pawlowski, Jan M.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wessely%2C+Jonas%22">Wessely, Jonas</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Sep2025, Vol. 85 Issue 9, p1-18. 18p.
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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="%22Critical+phenomena+%28Physics%29%22">Critical phenomena (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensionless+numbers%22">Dimensionless numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+theory%22">Spectral theory</searchLink><br /><searchLink fieldCode="DE" term="%22Lorentz+invariance%22">Lorentz invariance</searchLink><br /><searchLink fieldCode="DE" term="%22Density+of+states%22">Density of states</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We study real-time scalar ϕ 4 -theory in 2+1 dimensions near criticality. Specifically, we compute the single-particle spectral function and that of the s-channel four-point function in and outside the scaling regime. The computation is done with the spectral functional Callan–Symanzik equation, which exhibits manifest Lorentz invariance and preserves causality. We extract the scaling exponent η from the spectral function and compare our result with that from a Euclidean fixed point analysis. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1140/epjc/s10052-025-14679-9
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      – Code: eng
        Text: English
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      – SubjectFull: Scalar field theory
        Type: general
      – SubjectFull: Critical exponents
        Type: general
      – SubjectFull: Critical phenomena (Physics)
        Type: general
      – SubjectFull: Dimensionless numbers
        Type: general
      – SubjectFull: Spectral theory
        Type: general
      – SubjectFull: Lorentz invariance
        Type: general
      – SubjectFull: Density of states
        Type: general
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      – TitleFull: Critical scaling for spectral functions.
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            NameFull: Kockler, Konrad
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            NameFull: Pawlowski, Jan M.
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            NameFull: Wessely, Jonas
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          Dates:
            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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              Value: 9
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            – TitleFull: European Physical Journal C -- Particles & Fields
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