The Vector Manifestation and Effective Degrees of Freedom At Chiral Restoration

Details The Vector Manifestation and Effective Degrees of Freedom At Chiral Restoration The Vector Manifestation and Effective Degrees of Freedom At Chiral Restoration

2003-01-03

arxiv.org/abs/hep-ph/0301008v1

Prog.Theor.Phys.Suppl. 149 (2003) 142-151

Physics

High Energy Physics

High Energy Physics - Phenomenology

Based on talks given at "Chiral 02," Kyoto, Japan, 7-9 October 2002 and "SCGT02," Nagoya, Japan, 10-13 December 2002

Scientific paper

10.1143/PTPS.149.142

The role of effective degrees of freedom on the vector and axial-vector susceptibilities and the pion velocity at chiral restoration is analyzed. We consider two possible scenarios, one in which pions are considered to be the only low-lying degrees of freedom -- that we shall refer to as "standard" -- and the other in which pions, vector mesons and constituent quarks (or quasiquarks in short) are the relevant low-lying degrees of freedom -- that we shall refer to as "vector manifestation (VM)." We show at one-loop order in chiral perturbation theory with hidden local symmetry Lagrangian that while in the standard scenario, the pion velocity vanishes at the chiral transition, it instead approaches unity in the VM scenario. If the VM is realized in nature, the chiral phase structure of hadronic matter can be much richer than that in the standard one and the phase transition will be a smooth crossover: Sharp vector and scalar excitations are expected in the vicinity of the critical point. Some indirect indications that lend support to the VM scenario, and in consequence to BR scaling, are discussed.

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