Quantum Electrodynamics for Vector Mesons

Djukanovic, Dalibor; Schindler, Matthias R.; Gegelia, J.; Scherer, Stefan

doi:10.1103/physrevlett.95.012001

Cited by 44 publications

(72 citation statements)

References 11 publications

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“…Finally, another challenge for future research would be to explore within the context of the covariant projector formalism the link between g = 2 and the renormalizability of an effective field theory as found in ref. [17]. …”

Section: Discussionmentioning

confidence: 99%

Electromagnetic couplings of elementary vector particles

et al. 2008

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On the basis of the three fundamental principles of (i) Poincaré symmetry of space time, (ii) electromagnetic gauge symmetry, and (iii) unitarity, we construct an universal Lagrangian for the electromagnetic interactions of elementary vector particles, i.e., massive spin-1 particles transforming in the`1 2 , 1 2´r epresentation space of the Homogeneous Lorentz Group (HLG). We make the point that the first two symmetries alone do not fix the electromagnetic couplings uniquely but solely prescribe a general Lagrangian depending on two free parameters, here denoted by ξ and g. The first one defines the electric-dipole and the magnetic-quadrupole moments of the vector particle, while the second determines its magnetic-dipole and electric-quadrupole moments. In order to fix the parameters one needs an additional physical input suited for the implementation of the third principle. As such, one chooses Compton scattering off a vector target and requires the cross section to respect the unitarity bounds in the high energy limit. In result, we obtain the universal g = 2, and ξ = 0 values which completely characterize the electromagnetic couplings of the considered elementary vector field at tree level. The nature of this vector particle, Abelian versus non-Abelian, does not affect this structure. Merely, a partition of the g = 2 value into non-Abelian, gna, and Abelian, ga = 2 − gna, contributions occurs for non-Abelian fields with the size of gna being determined by the specific non-Abelian group appearing in the theory of interest, be it the Standard Model or any other theory.

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Section: Discussionmentioning

confidence: 99%

Electromagnetic couplings of elementary vector particles

et al. 2008

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“…In Section 3 the emergence of the superconducting phase is explicitly demonstrated both in a bosonic ρ-meson electrodynamics [14] and in an extended NambuJona-Lasinio model [15]. Various properties of the superconducting state are summarized in the last Section.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous Electromagnetic Superconductivity of Vacuum in a Strong Magnetic Field: Evidence from the Nambu–Jona-Lasinio Model

Chernodub¹

2011

Phys. Rev. Lett.

218

258

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The quantum vacuum may become an electromagnetic superconductor in the presence of a strong external magnetic field of the order of 10 16 Tesla. The magnetic field of the required strength (and even stronger) is expected to be generated for a short time in ultraperipheral collisions of heavy ions at the Large Hadron Collider. The superconducting properties of the new phase appear as a result of a magneticfield-assisted condensation of quark-antiquark pairs with quantum numbers of electrically charged ρ ± mesons. We discuss similarities and differences between the suggested superconducting state of the quantum vacuum, a conventional superconductivity and the Schwinger pair creation. We argue qualitatively and quantitatively why the superconducting state should be a natural ground state of the vacuum at the sufficiently strong magnetic field. We demonstrate the existence of the superconducting phase using both the Nambu-Jona-Lasinio model and an effective bosonic model based on the vector meson dominance (the ρ-meson electrodynamics). We discuss various properties of the new phase such as absence of the Meissner effect, anisotropy of superconductivity, spatial inhomogeneity of ground state, emergence of a neutral superfluid component in the ground state and presence of new topological vortices in the quark-antiquark condensates.

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“…Before we proceed to the main subject of the paper let us give some remarks about the other model of p-wave holographic superconductor, the so-called Maxwell vector model presented in [27], supplemented by the dark matter sector. The form of the action is in a close resemblance of the quantum electrodynamical ρ-meson, without irrelevant neutral part of it [59].…”

Section: Jhep03(2016)215mentioning

confidence: 99%

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

Rogatko

Wysokiński

2016

J. High Energ. Phys.

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Abstract:The holographic approach to building the p-wave superconductors results in three different models: the Maxwell-vector, the SU(2) Yang-Mills and the helical. In the probe limit approximation, we analytically examine the properties of the first two models in the theory with dark matter sector. It turns out that the effect of dark matter on the Maxwell-vector p-wave model is the same as on the s-wave superconductor studied earlier.For the non-Abelian model we study the phase transitions between p-wave holographic insulator/superconductor and metal/superconductor. Studies of marginally stable modes in the theory under consideration allow us to determine features of p-wave holographic droplet in a constant magnetic field. The dependence of the superconducting transition temperature on the coupling constant α to the dark matter sector is affected by the dark matter density ρ D . For ρ D > ρ the transition temperature is a decreasing function of α. The critical chemical potential µ c for the quantum phase transition between insulator and metal depends on the chemical potential of dark matter µ D and for µ D = 0 is a decreasing function of α.

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Quantum Electrodynamics for Vector Mesons

Cited by 44 publications

References 11 publications

Electromagnetic couplings of elementary vector particles

Electromagnetic couplings of elementary vector particles

Spontaneous Electromagnetic Superconductivity of Vacuum in a Strong Magnetic Field: Evidence from the Nambu–Jona-Lasinio Model

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

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