Classical Sphaleron Rate on Fine Lattices

Abstract

We measure the sphaleron rate for hot, classical Yang-Mills theory on the lattice, in order to study its dependence on lattice spacing. By using a topological definition of Chern-Simons number and going to extremely fine lattices (up to beta=32, or lattice spacing a = 1 / (8 g^2 T)) we demonstrate nontrivial scaling. The topological susceptibility, converted to physical units, falls with lattice spacing on fine lattices in a way which is consistent with linear dependence on $a$ (the Arnold-Son-Yaffe scaling relation) and strongly disfavors a nonzero continuum limit. We also explain some unusual behavior of the rate in small volumes, reported by Ambjorn and Krasnitz.

14 pages, includes 5 figures

References in corpus (2)

• From hard thermal loops to Langevin dynamics
• The non-perturbative QCD Debye mass from a Wilson line operator

Cited by in corpus (66)

• The Chiral Magnetic Effect
• Real-time static potential in hot QCD
• The Sphaleron Rate in the Minimal Standard Model
• Chiral Magnetic conductivity
• Improved Results in Supersymmetric Electroweak Baryogenesis
• Supersymmetric CP-violating Currents and Electroweak Baryogenesis
• Electroweak Baryogenesis and New TeV Fermions
• Resonant Relaxation in Electroweak Baryogenesis
• Dark Matter, Light Stops and Electroweak Baryogenesis
• Sphaleron rate in the symmetric electroweak phase
• The art of simulating the early Universe -- Part I
• The Supersymmetric Origin of Matter
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• Off-equilibrium sphaleron transitions in the Glasma
• Two Higgs doublet dynamics at the electroweak phase transition: a non-perturbative study
• Electroweak preheating on a lattice
• The Sphaleron Rate through the Electroweak Cross-over
• Yukawa and Tri-scalar Processes in Electroweak Baryogenesis
• The effect of the chiral chemical potential on the chiral phase transition in the NJL model with different regularization schemes
• Why is there more matter than antimatter? Calculational methods for leptogenesis and electroweak baryogenesis
• The role of leptons in electroweak baryogenesis
• Dilepton excess from local parity breaking in baryon matter
• Anomalous non-conservation of fermion/chiral number in Abelian gauge theories at finite temperature
• Effective field theory, electric dipole moments and electroweak baryogenesis
• Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature
• Coherent quantum Boltzmann equations from cQPA
• Phenomenology of Dirac Neutrinogenesis in Split Supersymmetry
• Spectral function at high temperature in the classical approximation
• Lattice implementation of Abelian gauge theories with Chern-Simons number and an axion field
• Real-time Fermions for Baryogenesis Simulations
• Electroweak baryogenesis in the Z3-invariant NMSSM
• Staying Thermal with Hartree Ensemble Approximations
• Generation of baryon inhomogeneities in the electroweak phase transition
• Chiral charge dynamics in Abelian gauge theories at finite temperature
• Non-perturbative dynamics of hot non-Abelian gauge fields: beyond leading log approximation
• Hidden Sector Baryogenesis
• Effect of reheating on electroweak baryogenesis
• Shape of the hot topological charge density spectral function
• Coherent quasiparticle approximation cQPA and nonlocal coherence
• Perturbative and non-perturbative aspects of the non-abelian Boltzmann-Langevin equation
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Natural braneworld inflation and baryogenesis
• The Sphaleron Rate from 4D Euclidean Lattices
• A local Langevin equation for slow long-distance modes of hot non-Abelian gauge fields
• Non-minimal Split Supersymmetry
• Beyond fast rate approximations: General analytic solutions to coupled transport equations during cosmic phase transitions
• Electroweak Sphaleron in a Magnetic field
• The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics
• Flavor-dependent CP violation and electroweak baryogenesis in supersymmetric theories
• Fireball baryogenesis from early structure formation due to Yukawa forces
• Charged pions tagged with polarized photons probing strong CP violation in a chiral-imbalance medium
• Baryogenesis and Dark Matter in Multiple Hidden Sectors
• Correction to the Chiral Magnetic Effect from axial-vector interaction
• Non-perturbative determination of the sphaleron rate for first-order phase transitions
• Significance of soft-scale breaking on primordial black hole production in Coleman-Weinberg type supercooling-phase transition
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Chern-Simons diffusion rate across different phase transitions
• Hierarchy from Baryogenesis
• Evolution and fluctuations of chiral chemical potential in heavy ion collisions
• The Sphaleron Rate at the Electroweak Crossover
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• Helicity polarization in relativistic heavy ion collisions
• Chiral-Imbalance Density Wave in Baryonic Matters
• Long and short distance behavior of the imaginary part of the heavy-quark potential
• Bubble nucleation and quantum initial conditions in classical statistical simulations