The Pion Velocity at Chiral Restoration and the Vector Manifestation

Abstract

We study the effects of Lorentz non-invariance on the physical pion velocity at the critical temperature $T_c$ in an effective theory of hidden local symmetry (HLS) with the "vector manifestation" fixed point. We match at a "matching scale" ${\Lambda }_M$ the axial-vector current correlator in the HLS with the one in the operator product expansion for QCD, and present the matching condition to determine the bare pion velocity. We find that the physical pion velocity, which is found to be one at $T=T_c$ when starting from the Lorentz invariant bare HLS, remains close to one with the Lorentz non-invariance, $v_{\pi }(T_c)=0.83-0.99$. This result is quite similar to the pion velocity in dense matter.

13 pages, discussions for clarifying the matching procedure are added

References in corpus (9)

• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Pion Propagation near the QCD Chiral Phase Transition
• Real-time pion propagation in finite-temperature QCD
• Vector Manifestation of the Chiral Symmetry
• Vector Manifestation in Hot Matter
• Vector Manifestation and Fate of Vector Mesons in Dense Matter
• Vector Manifestation and Violation of Vector Dominance in Hot Matter
• Effective Degrees of Freedom at Chiral Restoration and the Vector Manifestation in HLS theory
• The Pion Velocity in Dense Skyrmion Matter

Cited by in corpus (14)

• In-medium Pion and Partial Restoration of Chiral Symmetry
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Holographic QCD in medium: a bottom up approach
• Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local Symmetry
• Chiral Doubling of Heavy-Light Hadrons and the Vector Manifestation of Hidden Local Symmetry
• Late Hadronization and Matter Formed at RHIC: Vector Manifestation, Brown-Rho Scaling and Hadronic Freedom
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• Vector Manifestation and Violation of Vector Dominance in Hot Matter
• The Pion Velocity in Dense Skyrmion Matter
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Non-renormalization Theorem Originating in a New Fixed Point of the Vector Manifestation
• Dileptons Get Nearly "Blind" to Mass-Scaling Effects In Hot and/or Dense Matter
• The Dropping of In-Medium Hadron Mass in Holographic QCD
• Formulation of Vector Manifestation in Hot and/or Dense Matter