Vacuum polarization induced by the intense gauge field

Matinyan, S.G.; Savvidy, George

doi:10.1016/0550-3213(78)90463-7

Cited by 291 publications

(200 citation statements)

References 11 publications

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“…In other words, a minimum of the QCD effective potential (the free energy density) for this gluon configuration is assumed to be at nonzero field strength. Different estimations of the effective potential indicates, that this situation can be realized [10]. Although these estimations cannot be used as a basis for more or less rigorous proof, they underline the key role of the asymptotic freedom in forming the effective potential for an homogeneous gluon field.…”

Section: Discussionmentioning

confidence: 99%

Meson masses within the model of induced nonlocal quark currents

et al. 1996

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The model of induced quark currents formulated in our recent paper (Phys. Rev. D51, 174) is developed. The model being a kind of nonlocal extension of the bosonization procedure is based on the hypothesis that the QCD vacuum is realized by the (anti-)self-dual homogeneous gluon field. This vacuum field provides the analytical quark confinement. It is shown that a particular form of nonlocality of the quark and gluon propagators determined by the vacuum field, an interaction of quark spin with the vacuum gluon field and a localization of meson field at the center of masses of two quarks can explain the distinctive features of meson spectrum: Regge trajectories of radial and orbital excitations, mass splitting between pseudoscalar and vector mesons, the asymptotic mass formulas in the heavy quark limit: M QQ → 2m Q for quarkonia and M Qq → m Q for heavy-light mesons. With a minimal set of parameters (quark masses, vacuum field strength and the quarkgluon coupling constant) the model describes to within ten percent inaccuracy the masses and weak decay constants of mesons from all qualitatively different regions of the spectrum.

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Section: Discussionmentioning

confidence: 99%

Meson masses within the model of induced nonlocal quark currents

et al. 1996

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“…The fundamental physical problems are how large the field strength can be in nature, and how the properties of the vacuum change when magnetic fields approach the extremity. It is accepted that magnetic fields are stable in pure quantum electrodynamics (QED), and another interaction (weak or strong) or magnetic monopoles have to be involved to make the magnetized vacuum unstable [6].In this Letter, working solely in QED, we find that there exists a maximum value of the magnetic field that delimits the range of its values admitted without revising QED. Its value is many orders of magnitude less than B = B 0 exp(3π/α) (here α = e 2 /4π ≃ 1/137, B 0 = m 2 /e = 4.4 × 10 13 Gauss, m is the electron mass, = c = 1 throughout), the value that restricts the range of validity of QED due to the lack of asymptotic freedom [7].…”

mentioning

confidence: 68%

Positronium Collapse and the Maximum Magnetic Field in Pure QED

Shabad

Усов

2006

Phys. Rev. Lett.

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A maximum value for the magnetic field is determined, which provides the full compensation of the positronium rest mass by the binding energy in the maximum symmetry state and disappearance of the energy gap separating the electron-positron system from the vacuum. The compensation becomes possible owing to the falling to the center phenomenon. The maximum magnetic field may be related to the vacuum and describe its structure.PACS numbers: 03.65. Ge, 03.65.Pm, 12.20.Ds, 98.80.Cq A common feature of compact astronomical objects: white dwarfs, neutron stars, and accretion disks around black holes, is a very strong magnetic field. It is believed that neutron stars possess the strongest observed magnetic fields. The field strength is in the range from ∼ 10 8 G to ∼ 10 14 G for radio pulsars identified with rotation-powered neutron stars [1], and may be as high as ∼ 10 15 G for soft gamma-ray repeaters [2], or even higher (∼ 10 16 − 10 17 G) for the sources of cosmological gamma-ray bursts [3]. Much more intense magnetic fields have been conjectured to be involved in several astrophysical phenomena. For instance, superconductive cosmic strings, if they exist, may have magnetic fields up to ∼ 10 47 − 10 48 G in their vicinities [4]. Magnetic fields of ∼ 10 47 G may be also produced in our Universe at the beginning of the inflation [5]. The fundamental physical problems are how large the field strength can be in nature, and how the properties of the vacuum change when magnetic fields approach the extremity. It is accepted that magnetic fields are stable in pure quantum electrodynamics (QED), and another interaction (weak or strong) or magnetic monopoles have to be involved to make the magnetized vacuum unstable [6].In this Letter, working solely in QED, we find that there exists a maximum value of the magnetic field that delimits the range of its values admitted without revising QED. Its value is many orders of magnitude less than B = B 0 exp(3π/α) (here α = e 2 /4π ≃ 1/137, B 0 = m 2 /e = 4.4 × 10 13 Gauss, m is the electron mass, = c = 1 throughout), the value that restricts the range of validity of QED due to the lack of asymptotic freedom [7]. The maximum magnetic field causes the shrinking of the energy gap between an electron and positron.We exploit the unboundedness from below of the energy spectrum for sufficiently singular attractive potentials, known as the "falling to the center" [8]. For e + e − system in a magnetic field B this phenomenon is caused by the ultraviolet singularity of the photon propagator and occurs in the limit B → ∞. It takes place independently of whether nonrelativistic or relativistic description is used, and is associated with dimensional reduction due to the charged particles being restricted to the lowest Landau levels (see the pioneering work of Loudon [9] and other works out of which most important for our present theme are [9] -[11]). Using the Bethe-Salpeter (BS) equation for the electron-positron system, with the relative motion of the two particles treated in a strictly relat...

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“…. ) theory consistently incorporating the vacuum polarisation effects and leading to the trace anomaly can be properly generalised to the FLRW background as follows [49,50] (see also Ref. [10])…”

Section: Effective Yang-mills Theory In Expanding Universementioning

confidence: 99%

Mirror QCD and Cosmological Constant

2017

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An analog of Quantum Chromo Dynamics (QCD) sector known as mirror QCD (mQCD) can affect the cosmological evolution due to a non-trivial contribution to the Cosmological Constant analogous to that induced by the ground state in non-perturbative QCD. In this work, we explore a plausible hypothesis for trace anomalies cancellation between the usual QCD and mQCD. Such an anomaly cancellation between the two gauge theories, if it exists in Nature, would lead to a suppression or even elimination of their contributions to the Cosmological Constant. The trace anomaly compensation condition and the form of the non-perturbative mQCD coupling constant in the infrared limit have been proposed by analysing a partial non-perturbative solution of the Einstein-Yang-Mills equations of motion.

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Vacuum polarization induced by the intense gauge field

Cited by 291 publications

References 11 publications

Meson masses within the model of induced nonlocal quark currents

Meson masses within the model of induced nonlocal quark currents

Positronium Collapse and the Maximum Magnetic Field in Pure QED

Mirror QCD and Cosmological Constant

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