Signature for chiral-symmetry breaking at high temperatures

Chang, Lay Nam; Chang, Ngee-Pong; Chou, Kuang-Chao

doi:10.1103/physrevd.43.596

Cited by 14 publications

(15 citation statements)

References 17 publications

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“…They worked with a relativistic generlization of the BCS theory in superconductivity. The NJL ground state may be obtained as an X 2 rotation of the Fock space vacuum [9]…”

Section: Njl Vacuum With Flavormentioning

confidence: 99%

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Chiral Morphing

Chang

1995

A Gift of Prophecy

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Chiral symmetry undergoes a metamorphosis at T c . For T < T c , the usual Noether charge, Q a 5 , is dynamically broken by the vacuum. Above T c , chiral symmetry undergoes a subtle change, and the Noether charge morphs into Q β 5 , with the thermal vacuum now becoming invariant under Q β 5 .This vacuum is however not invariant under the old Q a 5 transformations. As a result, the pion remains strictly massless at high T . The pion propagates in the early universe with a halo.New order parameters are proposed to probe the structure of the new thermal vacuum.

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“…They worked with a relativistic generlization of the BCS theory in superconductivity. The NJL ground state may be obtained as an X 2 rotation of the Fock space vacuum [9]…”

Section: Njl Vacuum With Flavormentioning

confidence: 99%

“…Much of the work reported in this article has been done in collaboration with Lay Nam. The work really started as part of a US-China cooperative project [9,20] with K.C. Chou, the expert on Closed Time real time thermal field theory.…”

Section: Acknowledgmentmentioning

confidence: 99%

Chiral Morphing

Chang

1995

A Gift of Prophecy

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“…where A p,s , B p,s are the annihilation operators for a particle of mass T ′ , and U ps , V −p,s are the massive Dirac spinors [5] In addition, the thermal fermion propagator shows a pair of parallel space like cuts, just above and below the real axis and running from p o = −| p| to p o = | p|.…”

Section: Introductionmentioning

confidence: 99%

Spacetime quantization of the Braaten-Pisarski-Frenkel-Taylor-Wong action: Spacelike plasmon cut and new phase of the thermal vacuum

Chang

1995

Phys. Rev. D

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The properties of quark propagation through a hot medium are summarized by the BPFTW effective action. The fermion thermal propagator shows a pseudo-Lorentz invariant particle pole as well as a spacelike cut. In an earlier paper, we have performed the explicit quantization of the action in momentum space, and showed how a canonical Dirac field of mass T ′ arises.In this paper, we perform the quantization in coordinate space. In the process, we relate the spacelike plasmon cut in the propagator to the homogeneous solutions of the local equation of motion for auxiliary fields.Our quantization shows how the spacelike cut produces a 90 o phase factor in the thermal vacuum at high T . This phase factor is responsible for the vanishing of <ψ ψ > at high T .

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“…It is known [6] that an interacting fermion theory at high temperature develops a temperature dependent fermion mass where the mass grows with temperature. Thus, it would appear [7] that a massless, chiral invariant theory would have its chiral symmetry broken by the temperature dependent mass. The understanding of this question becomes particularly relevant in connection with the study of chiral symmetry restoration at high temperatures where one conventionally believes that the dynamically broken chiral symmetry in QCD is restored beyond a critical temperature.…”

Section: Introductionmentioning

confidence: 99%