Spectral properties of massless and massive quarks coupled with massive boson at finite temperature

Abstract

We study the properties of massless and massive quarks coupled with a scalar and pseudoscalar boson at finite temperature in Yukawa models at the one-loop order. The behavior of the spectral function and the pole structure of the propagator are analyzed as functions of temperature $T$ and the quark mass $m_f$. It is shown that the three-peak structure of the spectral function found in a previous work for massless quarks is formed at temperatures comparable to the boson mass even for finite $m_f$, but gradually ceases to exist as $m_f$ becomes larger. We identify the three poles of the quark propagator corresponding to the collective excitations of the quark in the complex energy plane. It is shown that the three trajectories made by the poles along with a variation of $T$ undergo a structural rearrangement at a critical quark mass when $m_f$ is increased. This suggests that the physics content of the collective quark excitations is changed in a drastic way at this point. The results are nicely accounted for with the notion of the level mixing induced by a resonant scattering of the massive boson with quarks and holes of thermally excited anti-quarks.

arXiv comment16 pages, 36 eps figures. Accepted for publication in Physical Reviw D

References in corpus (28)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Hadronization in heavy ion collisions: Recombination and fragmentation of partons
• Parton coalescence and antiproton/pion anomaly at RHIC
• Hadron production in heavy ion collisions: Fragmentation and recombination from a dense parton phase
• Elliptic flow at large transverse momenta from quark coalescence
• $J/\psi$ and ${\eta }_c$ in the Deconfined Plasma from Lattice QCD
• Pressure-Induced Zero-Gap Semiconducting State in Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ Salt
• Behavior of Charmonium Systems after Deconfinement
• Anisotropic flow
• Quarkonium correlators and spectral functions at zero and finite temperature
• Charmonium at high temperature in two-flavor QCD
• Pseudogap effects induced by resonant pair scattering
• Charmonium at finite temperature in quenched lattice QCD
• Charmonium properties in deconfinement phase in anisotropic lattice QCD
• Quark Spectrum above but near Critical Temperature of Chiral Transition
• Novel Collective Excitations and the Quasi-Particle Picture of Quarks Coupled with a Massive Boson at Finite Temperature
• Spectral properties of quarks above T_c in quenched lattice QCD
• Pre-critical Phenomena of Two-flavor Color Superconductivity in Heated Quark Matter -- diquark-pair fluctuations and non-Fermi liquid behavior --
• Quasi-quark spectrum in the chiral symmetric phase from the Schwinger-Dyson equation
• Non-Fermi Liquid Behavior Induced by Resonant Diquark-pair Scattering in Heated Quark Matter
• Neutrino collective excitations in the Standard Model at high temperature
• Quasiparticle Picture of Quarks near Chiral Phase Transition

Cited by in corpus (25)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Massless Mode and Positivity Violation in Hot QCD
• Quark spectral density and a strongly-coupled QGP
• Quark propagator at finite temperature and finite momentum in quenched lattice QCD
• Ultrasoft Fermionic Modes at High Temperature
• Zero mode in a strongly coupled quark gluon plasma
• Vanishing Thermal Mass in the Strongly Coupled QCD/QED medium
• Quasifermion spectrum at finite temperature from coupled Schwinger-Dyson equations for a fermion-boson system
• Thermal mass and dispersion relations of quarks in the deconfined phase of quenched QCD
• Structure of a thermal quasifermion in the QCD/QED Medium
• Ultra-soft fermionic excitation at finite chemical potential
• Spectral Function of Fermion Coupled with Massive Vector Boson at Finite Temperature in Gauge Invariant Formalism
• Ultrasoft fermion mode and off-diagonal Boltzmann equation in quark-gluon plasma at high temperature
• Fermionic excitations at finite temperature and density
• Thermalization and dynamical spectral properties in the quark-meson model
• Fermion spectral function in hot strongly interacting matter from the functional renormalization group
• Dilepton production spectrum above Tc with a lattice quark propagator
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Possible generation of anomalously soft quark excitations at nonzero temperature: Nonhyperbolic dispersion of parapion and van Hove singularity
• Neutrino spectral density at electroweak scale temperature
• Spectral Properties of Quarks at Finite Temperature in Lattice QCD
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Finite Temperature Landau Gauge Lattice Quark Propagator
• Diagrammatic and Kinetic Equation Analysis of Ultrasoft Fermionic Sector in Quark-Gluon Plasma
• Spectral properties of quarks above Tc -- thermal mass, dispersion relation, and self-energy --