6533b85ffe1ef96bd12c1c67

RESEARCH PRODUCT

Plasmon mass scale and quantum fluctuations of classical fields on a real time lattice

Aleksi KurkelaAleksi KurkelaTuomas LappiTuomas LappiJarkko Peuron

subject

QC1-999hep-latFOS: Physical sciencesplasmafysiikka114 Physical sciences01 natural sciencessymbols.namesakeHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)LinearizationLattice (order)0103 physical sciencesGauge theory010306 general physicsQuantum fluctuationPlasmonplasmaParticle Physics - PhenomenologyDebyePhysicsta114010308 nuclear & particles physicsplasma physicsPhysicsGaussHigh Energy Physics - Lattice (hep-lat)hep-phParticle Physics - LatticeoscillationHigh Energy Physics - PhenomenologyClassical mechanicsQuasiparticlesymbols

description

Classical real-time lattice simulations play an important role in understanding non-equilibrium phenomena in gauge theories and are used in particular to model the prethermal evolution of heavy-ion collisions. Above the Debye scale the classical Yang-Mills (CYM) theory can be matched smoothly to kinetic theory. First we study the limits of the quasiparticle picture of the CYM fields by determining the plasmon mass of the system using 3 different methods. Then we argue that one needs a numerical calculation of a system of classical gauge fields and small linearized fluctuations which correspond to quantum fluctuations, in a way that keeps the separation between the two manifest. We demonstrate and test an implementation of an algorithm with the linearized fluctuations showing that the linearization indeed works and the Gauss's law is conserved.

https://dx.doi.org/10.48550/arxiv.1710.03922