Heavy Dynamical Fermions in Lattice QCD

Abstract

It is expected that the only effect of heavy dynamical fermions in QCD is to renormalize the gauge coupling. We derive a simple expression for the shift in the gauge coupling induced by $N_f$ flavors of heavy fermions. We compare this formula to the shift in the gauge coupling at which the confinement-deconfinement phase transition occurs (at fixed lattice size) from numerical simulations as a function of quark mass and $N_f$. We find remarkable agreement with our expression down to a fairly light quark mass. However, simulations with eight heavy flavors and two light flavors show that the eight flavors do more than just shift the gauge coupling. We observe confinement-deconfinement transitions at $\beta =0$ induced by a large number of heavy quarks. We comment on the relevance of our results to contemporary simulations of QCD which include dynamical fermions.

COLO-HEP-311, 26 pages and 6 postscript figures; file is a shar file and all macros are (hopefully) included

References in corpus (5)

• Induced QCD at Large N
• Lattice QCD with 8 Light Quark Flavors
• The equivalence of the SU(N) Yang Mills Theory with a Purely Fermionic Model
• Thermodynamics of Lattice QCD with 2 Light Dynamical (Staggered) Quark Flavours on a $16^3\times 8$ Lattice
• Fermion induced SU$(N)$ Yang-Mills Theory

Cited by in corpus (29)

• On the Advancements of Conformal Transformations and their Associated Symmetries in Geometry and Theoretical Physics
• Lattice gauge action suppressing near-zero modes of H_W
• On the fourth root prescription for dynamical staggered fermions
• Chiral properties of two-flavor QCD in small volume and at large lattice spacing
• Conformality in many-flavour lattice QCD at strong coupling
• An Efficient Algorithm for QCD with Light Dynamical Quarks
• UV-filtered fermionic Monte Carlo
• Dynamical Fermions with Fat Links
• Manifestation of Sea Quark Effects in the Strong Coupling Constant in Lattice QCD
• Conformal Invariance and Electrodynamics: Applications and General Formalism
• Phases of Gauge Theories
• Thermal Phase Transition in Mixed Action SU(3) Lattice Gauge Theory and Wilson Fermion Thermodynamics
• The nature of the thermal phase transition with Wilson quarks
• Stealth dark matter confinement transition and gravitational waves
• Safety versus triviality on the lattice
• The spectrum of lattice QCD with staggered fermions at strong coupling
• The Kentucky Noisy Monte Carlo Algorithm for Wilson Dynamical Fermions
• An Effective Action for Finite Temperature Lattice Gauge Theories with Dynamical Fermions
• Coupling Constant and Quark Loop Expansion for Corrections to the Valence Approximation
• Spectrum of SU(2) gauge theory at large number of flavors
• Bosonic color-flavor transformation for the special unitary group
• Non-perturbative decoupling of massive fermions
• The Color-Flavor Transformation and Lattice QCD
• Relation between bare lattice coupling and MSbar coupling at one loop with general lattice fermions
• An Effective Action for Finite Temperature QCD with Fermions
• Bulk-preventing actions for SU(N) gauge theories
• Do Wilson Fermions Induce an Adjoint Gauge Coupling?
• Taming lattice artifacts with Pauli--Villars fields
• SU(2) gauge theory with $N_f=24$ quarks at non-zero mass