The Wilson Flow and the finite temperature phase transition

Abstract

We consider the determination of the finite temperature phase transition in the Yang--Mills SU(3) gauge theory. We compute the difference of the spatial and temporal energy density at a physical Wilson flow time. This difference is zero in the confined phase and becomes non zero in the deconfined phase. We locate the phase transition by using a new technique based on an exponential smoothing spline. This method is an alternative to the determination of the phase transition based on the Polyakov loop susceptibility and can also be used with dynamical fermions.

13 pages, 6 figures; clarification added in section 2.4; version accepted for publication in JHEP

References in corpus (4)

• Infinite N phase transitions in continuum Wilson loop operators
• Studying the gradient flow coupling in the Schrödinger functional
• Critical point and scale setting in SU(3) plasma: An update
• Using Wilson flow to study the SU(3) deconfinement transition

Cited by in corpus (6)

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• Proof of the renormalizability of the gradient flow
• Stealth dark matter confinement transition and gravitational waves
• Chiral Transition of SU(4) Gauge Theory with Fermions in Multiple Representations
• Open-Boundary Conditions in the Deconfined Phase
• Confinement study of an SU(4) gauge theory with fermions in multiple representations