Vacuum Effects and Compressional Properties of Nuclear Matter in Cutoff Field Theory

Kouno, Hiroaki; Sakamoto, Katsuaki; Iwasaki, Y.; Noda, Nobuo N.; Mitsumori, Tomohiro; Koide, Kazuharu; Hasegawa, Akira; Nakano, Masahiro

doi:10.1143/ptp.98.1123

Cited by 2 publications

(12 citation statements)

References 18 publications

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“…Also we must determine two coefficients D 5 and D 6 phenomenologically, to remove the Λ-dependence which is of the order of Λ −2 . In the references [30] and [31], we showed that D 5 and D 6 could be determined, if the effective nucleon mass M * 0 and the incompressibility K were given in addition to the saturation conditions. (Here, the subscript 0 denotes that the corresponding physical quantity is the one at the normal density ρ 0 . )…”

Section: Effective Lagrangian In the Hartree Approximationmentioning

confidence: 98%

“…Referring to our previous work [30,31], we introduce a low-energy effective Lagrangian in the σ-ω model using the Hartree approximation.…”

Section: Effective Lagrangian In the Hartree Approximationmentioning

confidence: 99%

“…In this paper, we remove the Λ-dependence of order Λ −2 in the Hartree calculation for an effective nucleon mass. [30,31] This means that we use an approximated effective Lagrangian as…”

Section: Effective Lagrangian In the Hartree Approximationmentioning

confidence: 99%

“…The phenomenological determinations of the couplings in the effective Lagrangian also remove the Λ-dependence of the physical results. [29] In the series of papers [30,31,32], we have studied nuclear medium properties and the vertex corrections in the framework of QHD with a finite cutoff, eliminating the cutoff dependence by determining the couplings in the low-energy effective Lagrangian. Based on these results, in this paper, we calculate the effective vector meson masses in the cutoff field theory (CFT).…”

Section: Introductionmentioning

confidence: 99%

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Effective Vector Meson Masses in a Cutoff Field Theory

Sakamoto

Nakai

Kouno

et al. 2000

Int. J. Mod. Phys. E

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Based on quantum hadrodynamics with a finite cutoff, the effective masses of vector mesons (ω,ρ) in nuclear medium are calculated. We use a low-energy effective Lagrangian which is obtained by integrating high-energy quantum fluctuations. Although we use an artificial cutoff, the cutoff-dependence can be removed order by order. It is also found that the effective ρ-meson mass [Formula: see text] decreases as the density increases. The rate of the decrease becomes smaller at high density. As a result, at the normal density, [Formula: see text] is 0.85~0.92.

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Section: Effective Lagrangian In the Hartree Approximationmentioning

confidence: 98%

“…Referring to our previous work [30,31], we introduce a low-energy effective Lagrangian in the σ-ω model using the Hartree approximation.…”

Section: Effective Lagrangian In the Hartree Approximationmentioning

confidence: 99%

Section: Effective Lagrangian In the Hartree Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effective Vector Meson Masses in a Cutoff Field Theory

Sakamoto

Nakai

Kouno

et al. 2000

Int. J. Mod. Phys. E

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“…For the highenergy physics near the limitation of the theory of the particle physics, Lepage [8] proposed to use the extended effective action (Lagrangian) to eliminate such a dependence on cutoff which is by hand introduced into the theory, rather than to search the phenomenologically favorable cutoff and regulator (or form factor). In the series of papers [9,10,11], we have studied nuclear matter properties and the vertex corrections in the framework of the cutoff field theory, eliminating the cutoff dependence by using the Lepage's method.…”

Section: Introductionmentioning

confidence: 99%

Non-Perturbative Renormalization Group Equations in Quantum Hadrodynamics

Kouno

Nakai

Hasegawa

et al. 2000

Progress of Theoretical Physics

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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 self-energy, the contribution in the random phase approximation to the meson self-energy, and vertex corrections in part, as well as the Hartree contribution to the effective potential. §1. IntroductionIn the past quarter century, nuclei and nuclear matter have been studied in the framework of quantum hadrodynamics (QHD). 1), 2) The meson mean-field theory of nuclear matter 1) has produced successful results to account for the saturation properties at normal nuclear density. Following these successes, many studies and modifications have been made of relativistic nuclear models. One of these modifications is the inclusion of vacuum fluctuation effects, which cause divergences in physical quantities when they are naively calculated. Chin 3) estimated the vacuum fluctuation effects in the Hartree approximation by using a renormalization procedure, and found that vacuum fluctuation effects make the incompressibility of nuclear matter smaller and closer to the empirical value than in the original Walecka model.Although the relation between QHD and the underlying fundamental theory, i.e., QCD, is not clear, it is natural that QHD is not valid at very high energy. From this point of view, a cutoff or a form factor should be introduced into the theory of QHD. One may introduce such a cutoff 4) or form factor 5) to avoid the instability of the meson propagators in a random phase approximation (RPA). 6) Cohen 7) introduced a four-dimensional cutoff into the relativistic Hartree approximations (RHA) and found that the vacuum energy contributions may be somewhat different from those in the ordinary renormalization procedures, if the cutoff is not too large.One troublesome problem in the use of a finite cutoff is that physical results depend on the value of the cutoff and the shape of the regulator which are introduced into the theory by hand. It is difficult to determine a suitable value of the cutoff and * )

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Vacuum Effects and Compressional Properties of Nuclear Matter in Cutoff Field Theory

Cited by 2 publications

References 18 publications

Effective Vector Meson Masses in a Cutoff Field Theory

Effective Vector Meson Masses in a Cutoff Field Theory

Non-Perturbative Renormalization Group Equations in Quantum Hadrodynamics

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