Shape of the hot topological charge density spectral function
M. Laine, L. Niemi, S. Procacci, Kari Rummukainen
Abstract
A bstract After motivating an interest in the shape of the topological charge density spectral function in hot Yang-Mills theories, we estimate it with the help of thermally averaged classical real-time simulations, for N c = 2 , 3. After subtracting a perturbative contribution at large frequencies, we observe a non-trivial shape at small frequencies (a dip rather than a peak), interpolating smoothly towards the sphaleron rate at zero frequency. Possible frequency scales making an appearance in this shape are discussed. Implications for warm axion inflation and reheating, and for imaginary-time lattice measurements of the strong sphaleron rate, are recapitulated.
Topics & Concepts
PhysicsTopological quantum numberSphaleronCharge (physics)Inflation (cosmology)Function (biology)Lattice (music)Spectral shape analysisTopology (electrical circuits)Quantum electrodynamicsSpectral densityQuantum mechanicsSpectral linePhase transitionEvolutionary biologyBiologyCombinatoricsBaryogenesisStatisticsAcousticsMathematicsDark Matter and Cosmic PhenomenaParticle physics theoretical and experimental studiesCosmology and Gravitation Theories