Vector and axialvector mesons at nonzero temperature within a gauged linear sigma model

Abstract

We consider vector and axialvector mesons in the framework of a gauged linear sigma model with chiral $U(N_f{)}_R\times U(N_f{)}_L$ symmetry. For $N_f=2$, we investigate the behavior of the chiral condensate and the meson masses as a function of temperature by solving a system of coupled Dyson-Schwinger equations derived via the 2PI formalism in double-bubble approximation. We find that the inclusion of vector and axialvector mesons tends to sharpen the chiral transition. Within our approximation scheme, the mass of the $\rho$ meson increases by about 100 MeV towards the chiral transition.

20 pages, 6 figures

References in corpus (23)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• The QCD transition temperature: results with physical masses in the continuum limit
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• e+e--pair production in Pb-Au collisions at 158 GeV per nucleon
• Renormalization in Self-Consistent Approximation schemes at Finite Temperature III: Global Symmetries
• The O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation
• Weinberg-Type Sum Rules at Zero and Finite Temperature
• Chiral symmetry restoration in linear sigma models with different numbers of quark flavors
• Chiral Symmetry Realization for Even- and Odd-parity Baryon Resonances
• NA60 results on the rho spectral function in In-In collisions
• Linear sigma model and chiral symmetry at finite temperature
• Chiral symmetry at finite temperature: linear vs nonlinear $\sigma$-models
• Vector and axial-vector correlators in a chirally symmetric model
• Thermal Effective Potential of the O(N) Linear sigma Model
• Temperature dependence of rho- and a_1-meson masses and mixing of vector and axial-vector correlators
• Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local Symmetry
• Selfconsistent calculations of spectral densities in the O(N) model: improving the Hartree-Fock approximation by including nonzero decay widths
• Alternative experimental evidence for chiral restoration in excited baryons
• Mass and width of the sigma

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• Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons
• Existence of the critical endpoint in the vector meson extended linear sigma model
• The Chiral Restoration Transition of QCD and Low Mass Dileptons
• Nuclear matter within a dilatation-invariant parity doublet model: the role of the tetraquark at nonzero density
• Role of the tetraquark in the chiral phase transition
• Chiral Mirror-Baryon-Meson Model and Nuclear Matter beyond Mean-Field
• Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons
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• Study of chiral symmetry restoration in linear and nonlinear O(N) models using the auxiliary field method
• Massive Yang-Mills for Vector and Axial-Vector Spectral Functions at Finite Temperature
• How Universal is the Coupling in the Sigma Model?
• Properties of hadrons in a chiral model with (axial-)vector mesons
• The O(2) model in polar coordinates at nonzero temperature
• Glueballs and vector mesons at NICA
• Phenomenology of a pseudoscalar glueball and charmed mesons
• Decay widths of resonances and pion scattering lengths in a globally invariant linear sigma model with vector mesons
• Dynamical generation of hadronic resonances in effective models with derivative interactions
• Baryon octet and decuplet phenomenology in a three-flavor extended linear sigma model
• The chiral partner of the nucleon in the mirror assignment with global symmetry