Linear Σ Model in the Gaussian Functional Approximation

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概要

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• We apply a self-consistent relativistic mean-field variational "Gaussian functional"(or Hartree) approximation to the linear σ model with spontaneously and explicitly broken chiral O(4) symmetry. We set up the self-consistency, or "gap" and the Bethe-Salpeter equations. We check and confirm the chiral Ward-Takahashi identities, among them the Nambu-Goldstone theorem and the (partial) axial current conservation [CAC], both in and away from the chiral limit. With explicit chiral symmetry breaking, we confirm the Dashen relation for the pion mass and partial CAC. We solve numerically the gap and Bethe-Salpeter equations, discuss the solutions' properties and the particle content of the theory.

• 理論物理学刊行会の論文
• 2001-12-25

著者

• Dmitrasinovic V.

  Research Center For Nuclear Physics Osaka University

• NAKAMURA Issei

  Research Center for Nuclear Physics, Osaka University

• Dmitrasinovic V.

  Research Center for Nuclear Physics, Osaka University

関連論文

• Linear Σ Model in the Gaussian Functional Approximation

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