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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| Online-Zugang: | https://arxiv.org/abs/2604.02122 |
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| _version_ | 1866908933587730432 |
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| author | Pavan Kaczmarek, Olaf Moore, Guy D. Schmidt, Christian |
| author_facet | Pavan Kaczmarek, Olaf Moore, Guy D. Schmidt, Christian |
| contents | The energy-momentum tensor (EMT) is the conserved current corresponding to space-time translation symmetry. Its applications are remarkably diverse, ranging from the thermodynamics to the calculation of transport coefficients. While the EMT is well-defined in the continuum up to a total derivative, with its coefficients fixed by Ward identities, its extension to lattice QCD is not straightforward. The primary challenge arises from the breaking of continuous space-time symmetries by the discrete lattice regulator. Although the EMT can be constructed on the lattice in a way that yields the correct continuum limit, the operators are not uniquely defined. In this proceeding, we construct the EMT for both pure-gauge theory and full QCD, discussing its renormalization in the specific context of determining the coefficients required for shear viscosity. In this context, we present a comparative analysis of the trace anomaly, number density, pressure, energy density and enthalpy density with imaginary chemical potential for multiple $β$ values at approximately the same temperature, aimed for the continuum limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02122 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-perturbative Renormalization of the EMT in Full QCD Pavan Kaczmarek, Olaf Moore, Guy D. Schmidt, Christian High Energy Physics - Lattice The energy-momentum tensor (EMT) is the conserved current corresponding to space-time translation symmetry. Its applications are remarkably diverse, ranging from the thermodynamics to the calculation of transport coefficients. While the EMT is well-defined in the continuum up to a total derivative, with its coefficients fixed by Ward identities, its extension to lattice QCD is not straightforward. The primary challenge arises from the breaking of continuous space-time symmetries by the discrete lattice regulator. Although the EMT can be constructed on the lattice in a way that yields the correct continuum limit, the operators are not uniquely defined. In this proceeding, we construct the EMT for both pure-gauge theory and full QCD, discussing its renormalization in the specific context of determining the coefficients required for shear viscosity. In this context, we present a comparative analysis of the trace anomaly, number density, pressure, energy density and enthalpy density with imaginary chemical potential for multiple $β$ values at approximately the same temperature, aimed for the continuum limit. |
| title | Non-perturbative Renormalization of the EMT in Full QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2604.02122 |