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The QCD trace anomaly at strong coupling from M-theory
1Department of Physics, Indian Institute of Technology, Roorkee, Uttarakhand 247 667 India.
This study bridges a gap in understanding the QCD conformal anomaly across all temperatures using M-theory. It provides a lattice-consistent result for thermal QCD, aligning with recent lattice data and offering insights into deconfinement temperature.
Area of Science:
- Theoretical High Energy Physics
- Quantum Chromodynamics (QCD)
- String Theory and M-Theory
Background:
- The temperature dependence of the QCD conformal anomaly has been a missing piece in theoretical physics.
- Previous holographic duals of QCD were limited in their temperature applicability.
- Bridging the gap between theoretical models and lattice QCD results is crucial.
Purpose of the Study:
- To obtain a lattice-consistent result for the temperature dependence of the QCD conformal anomaly.
- To utilize a top-down M-theory dual valid for all temperatures of thermal QCD.
- To compare theoretical predictions with recent lattice QCD data.
Main Methods:
- Employing the M-theory uplift of the SYZ type IIA mirror.
- Utilizing a UV-complete type IIB holographic dual of large-N thermal QCD.
- Estimating higher derivative corrections in the supergravity action.
- Tuning parameters to obtain a QCD deconfinement temperature.
Main Results:
- A lattice-consistent result for the temperature dependence of the QCD conformal anomaly is obtained.
- The M-theory dual is shown to be valid for all temperatures of thermal QCD.
- A QCD deconfinement temperature consistent with lattice QCD is derived from a Hawking-Page phase transition.
Conclusions:
- The study successfully fills a critical gap in understanding thermal QCD.
- The M-theory approach provides a unified framework for studying QCD across temperatures.
- The findings offer a new avenue for comparing theoretical models with experimental/lattice data.
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