The axial vector current in beta decay

Gell‐Mann, Murray; Lévy, Maurice

doi:10.1007/bf02859738

Cited by 2,538 publications

(1,424 citation statements)

References 18 publications

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“…For the three models considered here, A(0) can be calculated using the expressions for the derivatives given above. We take the experimental value from Brookhaven E865 [3], converting their f 0 to our A(0) using equation (4). From table 2, we see that the VMD picture again comes closest to a quantitative description of the data.…”

Section: Vector Meson Dominancementioning

confidence: 91%

“…[4,5,6,12,13]). Scadron et al [5] gives the LσM expressions for meson form factors in the chiral limit (CL),…”

Section: The Linear σ Modelmentioning

confidence: 99%

“…The Linear Sigma Model (LσM) of Gell-Mann and Levy [4,5,6] has proved to be fruitful in describing low-energy properties of mesons. In a recent theoretical paper [5], the LσM, and some related models, were used to study meson electromagnetic form factors.…”

Section: Introductionmentioning

confidence: 99%

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Pion and kaon electromagnetic form factors

Bijnens

Talavera

2002

J. High Energy Phys.

181

220

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We use recent data on K + → π + e + e − , together with known values for the pion form factor, to derive the kaon electromagnetic form factor for 0 < q 2 < 0.125 (GeV/c) 2 . The results are then compared with predictions of the Linear σ Model, a quark-triangle model and Vector Meson Dominance. The first two models describe the data at least qualitatively, but the simple Vector Meson Dominance picture gives a detailed quantitative fit to the experimental results.

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Section: Vector Meson Dominancementioning

confidence: 91%

“…[4,5,6,12,13]). Scadron et al [5] gives the LσM expressions for meson form factors in the chiral limit (CL),…”

Section: The Linear σ Modelmentioning

confidence: 99%

See 1 more Smart Citation

Pion and kaon electromagnetic form factors

Bijnens

Talavera

2002

J. High Energy Phys.

181

220

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“…For historic reasons, the action Eq. (8) is known as the non-linear sigma model (NLSM) [16][17][18] having many applications in particle physics and condensed matter physics. The action Eq.…”

Section: B Identical Particles Model Of Spacetime Reference Framementioning

confidence: 99%

The Cosmological Constant Problem and Quantum Spacetime Reference Frame

Luo¹

2017

Preprint

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We generalize the idea of quantum clock time to quantum spacetime reference frame via physical realization of a reference system by quantum rulers and clocks. Omitting the internal degrees of freedom (such as spins) of the physical rulers and clocks, only considering their metric properties, the spacetime reference frame is described by a bosonic non-linear sigma model. We study the quantum behavior of the system under approximations, and obtain (1) a cosmological constant valued (2/π)ρc0 (ρc0 the critical density at near current epoch) which is very close to the observations; (2) an effective Einstein-Hilbert term in the effective action; (3) the ratio of variance to mean-squared of spacetime interval tends to a universal constant 2/π in the infrared region. This effect is testable by observing a linear dependence between the inherent quantum variance and mean-squared of the redshifts from cosmic distant spectral lines. The proportionality is expected to be the observed percentage of the dark energy. We also generalize the equivalence principle to be valid for all quantum phenomenon.

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“…In particular, to study the mechanisms of bubble nucleation and spinodal decomposition in a hot expanding plasma [10], it is common to adopt the linear σ-model coupled to quarks [11]. The gas of quarks provides a thermal bath in which the long-wavelength modes of the chiral field evolve, and the latter plays the role of an order parameter in a Landau-Ginzburg approach to the description of the chiral phase transition.…”

Section: Abstract: Chiral Symmetry Breakingmentioning

confidence: 99%

Nucleation in the chiral transition with an inhomogeneous background

Taketani¹,

Fraga²

2007

Braz. J. Phys.

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We consider an approximation procedure to evaluate the finite-temperature one-loop fermionic density in the presence of a chiral background field which systematically incorporates effects from inhomogeneities in the chiral field through a derivative expansion. Modifications in the effective potential and their consequences for the bubble nucleation process are discussed. Keywords: Chiral symmetry breakingThe mechanism of chiral symmetry breaking and the study of the dynamics of phase conversion after a temperaturedriven chiral transition can be done conveniently within lowenergy effective models [1][2][3][4][5][6][7][8][9]. In particular, to study the mechanisms of bubble nucleation and spinodal decomposition in a hot expanding plasma [10], it is common to adopt the linear σ-model coupled to quarks [11]. The gas of quarks provides a thermal bath in which the long-wavelength modes of the chiral field evolve, and the latter plays the role of an order parameter in a Landau-Ginzburg approach to the description of the chiral phase transition. The standard procedure is then integrating over the fermionic degrees of freedom, using a classical approximation for the chiral field, to obtain a formal expression for the thermodynamic potential from which one can obtain all the physical quantities of interest.To compute correlation functions and thermodynamic quantities, one has to evaluate the fermionic determinant that results from the functional integration over the quark fields within some approximation scheme. Usually one performs a standard one-loop calculation assuming a homogeneous and static background field [12]. Nevertheless, for a system that is in the process of phase conversion after a chiral transition, one expects inhomogeneities in the chiral field configuration due to fluctuations to play a major role in driving the system to the true ground state. In fact, for high-energy heavy ion collisions, hydrodynamical studies have shown that significant density inhomogeneities may develop dynamically when the chiral transition to the broken symmetry phase takes place [6], and inhomogeneities generated during the late stages of the nonequilibrium evolution of the order parameter might leave imprints on the final spatial distributions and even on the integrated, inclusive abundances [13].In this paper we briefly describe an approximation procedure to evaluate the finite-temperature fermionic density in the presence of a chiral background field, which systematically incorporates effects from inhomogeneities in the bosonic field through a gradient expansion. (For details, see Ref. [14].) The method is valid for the case in which the chiral field varies smoothly, and allows one to extract information from its long-wavelength behavior, incorporating corrections order by order in the derivatives of the field. For simplicity, we ignore corrections coming from bosonic fluctuations in what follows. Those would result in a bosonic determinant correction to the effective potential [15]. To focus on the effect of an inhomogeneou...

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The axial vector current in beta decay

Cited by 2,538 publications

References 18 publications

Pion and kaon electromagnetic form factors

Pion and kaon electromagnetic form factors

The Cosmological Constant Problem and Quantum Spacetime Reference Frame

Nucleation in the chiral transition with an inhomogeneous background

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