2000
DOI: 10.1143/ptp.103.1183
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Non-Perturbative Renormalization Group Equations in Quantum Hadrodynamics

Abstract: Quantum hadrodynamics are studied with non-perturbative renormalization group equations. It is shown that the contributions of one-loop diagrams are important for the effective potential, since effective couplings of lower-order interactions in the effective potential are only slightly affected by quantum effects at low energy. The relation between the localpotential approximation (LPA) and the traditional Hartree approximation is discussed. The LPA includes the contribution of the Fock term to the nucleon sel… Show more

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“…[33] We regard the Lagrangian (1) as an effective one in which the quantum effects of the vacuum fluctuations have been already included in the higher-order interactions. The Σ s , Σ v and U M may be able to be calculated perturbatively [19,18] or nonperturbatively [34] from the bare Lagrangian which does not include the effects of the vacuum fluctuations. For example, in the one-loop approximation or the relativistic Hartree approximation (RHA), U M is given by [19,18]…”
Section: Effective Lagrangianmentioning
confidence: 99%
“…[33] We regard the Lagrangian (1) as an effective one in which the quantum effects of the vacuum fluctuations have been already included in the higher-order interactions. The Σ s , Σ v and U M may be able to be calculated perturbatively [19,18] or nonperturbatively [34] from the bare Lagrangian which does not include the effects of the vacuum fluctuations. For example, in the one-loop approximation or the relativistic Hartree approximation (RHA), U M is given by [19,18]…”
Section: Effective Lagrangianmentioning
confidence: 99%