Spacetime Quantization of BPFTW Action: Spacelike Plasmon Cut \& New Phase of the Thermal Vacuum

Details Spacetime Quantization of BPFTW Action: Spacelike Plasmon Cut \& New Phase of the Thermal Vacuum Spacetime Quantization of BPFTW Action: Spacelike Plasmon Cut \& New Phase of the Thermal Vacuum

1994-10-04

arxiv.org/abs/hep-ph/9410217v2

Phys.Rev.D51:4512-4517,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LaTeX, CCNY-HEP-94-8

Scientific paper

10.1103/PhysRevD.51.4512

In this paper, we perform the quantization of the nonlocal BPFTW effective action in coordinate space. The action is made local by using a conjugate set of auxiliary fields. The action summarizes the properties of quark propagation through a hot environ. The fermion propagator shows a pseudo-Lorentz invariant particle pole as well as a pair of conjugate spacelike plasmon cut. We relate the cuts to the homogeneous solutions of the local equations 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 $ \psibarpsi $ at high $T$.

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