Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
arXiv:1202.2762 · doi:10.1007/JHEP05(2012)069
Abstract
We study Casimir scaling and renormalization properties of Polyakov loops in different irreducible representations in SU(N) gauge theories; in particular, we investigate the approach to the large-N limit, by performing lattice simulations of Yang-Mills theories with an increasing number of colors, from 2 to 6. We consider the twelve lowest irreducible representations for each gauge group, and find strong numerical evidence for nearly perfect Casimir scaling of the bare Polyakov loops in the deconfined phase. Then we discuss the temperature dependence of renormalized loops, which is found to be qualitatively and quantitatively very similar for the various gauge groups. In particular, close to the deconfinement transition, the renormalized Polyakov loop increases with the temperature, and its logarithm reveals a characteristic dependence on the inverse of the square of the temperature. At higher temperatures, the renormalized Polyakov loop overshoots one, reaches a maximum, and then starts decreasing, in agreement with weak-coupling predictions. The implications of these findings are discussed.
1+33 pages, 14 figures; v2: expanded discussion in sections 2 and 3, added references: version published in JHEP
References in corpus (42)
- Viscosity, Black Holes, and Quantum Field Theory
- 1/q^2 Corrections and Gauge/String Duality
- Improved Holographic QCD
- Renormalized Polyakov loops in many representations
- String Theory and Quantum Chromodynamics
- QCD Thermodynamics from the Lattice
- NNLO hard-thermal-loop thermodynamics for QCD
- Fuzzy Bags and Wilson Lines
- How Wide is the Transition to Deconfinement?
- The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
- Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
- Fixed Scale Approach to Equation of State in Lattice QCD
- Three-dimensional physics and the pressure of hot QCD
- Continuum Thermodynamics of the GluoN_c Plasma
- The pressure of the SU(N) lattice gauge theory at large-N
- Some Thermodynamic Aspects of Pure Glue, Fuzzy Bags and Gauge/String Duality
- Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
- Closed k-strings in SU(N) gauge theories : 2+1 dimensions
- The closed string spectrum of SU(N) gauge theories in 2+1 dimensions
- Renormalized Polyakov Loop in the Deconfined Phase of SU(N) Gauge Theory and Gauge/String Duality
- Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase
- Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
- Effective String Theory and Nonlinear Lorentz Invariance
- Casimir Scaling and String Breaking in G(2) Gluodynamics
- Casimir scaling in G(2) lattice gauge theory
- Dirac-Born-Infeld action from spontaneous breakdown of Lorentz symmetry in brane-world scenarios
- On the smallest screening masses in hot QCD
- Zero Point Energy of Renormalized Wilson Loops
- QCD-Thermodynamics using 5-dim Gravity
- First study of the gluon-quark-antiquark static potential in SU(3) Lattice QCD
- The Stefan-Boltzmann law in a small box and the pressure deficit in hot SU(N) lattice gauge theory
- Mesons at large Nc from lattice QCD
- The confining string beyond the free-string approximation in the gauge dual of percolation
- Static potentials for quarkonia at finite temperatures
- Hot QCD, k-strings and the adjoint monopole gas model
- QCD-like technicolor on the lattice
- Heavy Ions: Results from the Large Hadron Collider
- Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
- QCD Thermodynamics on the Lattice: Recent Results
- Renormalization of Polyakov loops in different representations and the large-N limit
- Quantum Fields at Finite Temperature "from tera to nano Kelvin"
- Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate
Cited by in corpus (41)
- A lattice study of the jet quenching parameter
- Polyakov loop in 2+1 flavor QCD from low to high temperatures
- Effective matrix model for deconfinement in pure gauge theories
- Phase diagram and surface tension in the three-flavor Polyakov-quark-meson model
- Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
- Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
- QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
- Chiral matrix model of the semi-Quark Gluon Plasma in QCD
- Introductory lectures to large-N QCD phenomenology and lattice results
- The Polyakov loop and the hadron resonance gas model
- Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics
- Strong dynamics with matter in multiple representations: SU(4) gauge theory with fundamental and sextet fermions
- Debye screening mass near deconfinement from holography
- Renormalization of the Polyakov loop with gradient flow
- Jarzynski's theorem for lattice gauge theory
- Exceptional thermodynamics: The equation of state of G(2) gauge theory
- Partial Deconfinement
- Lattice baryons in the 1/N expansion
- Theta dependence of the deconfining phase transition in pure SU(N_c) Yang-Mills theories
- Center Domains and their Phenomenological Consequences
- A lattice QCD study of generalized gluelumps
- Gross-Witten-Wadia transition in a matrix model of deconfinement
- The Polyakov loop at next-to-next-to leading order
- Generating SU(Nc) pure gauge lattice QCD configurations on GPUs with CUDA
- The static quark potential from a multilevel algorithm for the improved gauge action
- Finite-temperature phase transitions of third and higher order in gauge theories at large
- The Polyakov loop in various representations in the confined phase of QCD
- Visualisations of coherent centre domains in local Polyakov loops
- Recent results in large-N lattice gauge theories
- Collisional energy loss of a heavy quark in a semiquark-gluon plasma
- Quarkyonic Percolation and deconfinement at finite density and number of colors
- Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
- Conformal perturbation theory confronts lattice results in the vicinity of a critical point
- Jet quenching from the lattice
- Investigating jet quenching on the lattice
- Casimir free energy for massive fermions: a comparative study of various approaches
- Thermodynamics of large N gauge theory from top down holography
- Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
- Shear and bulk viscosity for a pure glue theory using an effective matrix model
- Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
- Polyakov loop renormalization with gradient flow