Non-renormalization Theorem Originating in a New Fixed Point of the Vector Manifestation

Abstract

We study the pion velocity at the critical temperature of chiral symmetry restoration in QCD. Starting from the premise that the bare effective field theory is to be defined from the underlying QCD, we incorporate the effects of Lorentz non-invariance into the bare theory by matching an effective field theory to QCD at a suitable matching scale, and investigate how the Lorentz non-invariance existing in the bare theory influences physical quantities. Using the hidden local symmetry model as the effective field theory, where the chiral symmetry restoration is realized as the vector manifestation (VM), we find that the pion velocity at the critical temperature receives neither quantum nor (thermal) hadronic corrections at the critical temperature even when we start from the bare theory with Lorentz symmetry breaking. This is likely the manifestation of a new fixed point in the Lorentz non-invariant formulation of the VM.

arXiv comment9 pages, 2 figures; Title is changed to make the result clearer. Conclusion does not change. Misleading use of terminology is clarified. This is the final version accepted in Nucl. Phys. A

References in corpus (21)

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Cited by in corpus (7)

• 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
• Thermal Dilepton Production from Dropping rho based on the Vector Manifestation
• Chiral Phase Transition in QCD and Vector Manifestation
• Formulation of Vector Manifestation in Hot and/or Dense Matter
• An Effective Field Theory at Finite Density