6533b835fe1ef96bd129eaa9

RESEARCH PRODUCT

Time evolution of linearized gauge field fluctuations on a real-time lattice

Jarkko PeuronAleksi KurkelaAleksi KurkelaTuomas LappiTuomas Lappi

subject

Nuclear TheoryPhysics and Astronomy (miscellaneous)High Energy Physics::LatticeFOS: Physical sciences114 Physical sciences01 natural sciencesNuclear Theory (nucl-th)High Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)Lattice (order)0103 physical sciencestime evolutionGauge theory010306 general physicsEngineering (miscellaneous)Quantum fluctuationlattice simulationsPhysics010308 nuclear & particles physicsGauss' lawGaussHigh Energy Physics - Lattice (hep-lat)Time evolutionParticle Physics - LatticeHigh Energy Physics - PhenomenologyClassical mechanicsgauge theories

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. Due to instabilities, small quantum fluctuations on top of the classical background may significantly affect the dynamics of the system. In this paper we argue for the need for a numerical calculation of a system of classical gauge fields and small linearized fluctuations in a way that keeps the separation between the two manifest. We derive and test an explicit algorithm to solve these equations on the lattice, maintaining gauge invariance and Gauss's law.

yearjournalcountryeditionlanguage
2016-10-05
https://dx.doi.org/10.48550/arxiv.1610.01355