Fermionic signature of the lattice monopoles

Chernodub, M. N.; Захаров, В. И.

doi:10.1103/physrevd.65.094020

Cited by 6 publications

(19 citation statements)

References 32 publications

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“…85 This property is consistent with the vibrations of the ⇢ vortices in a liquid vortex phase. 89 Thus, the results of numerical simulations are consistent with the existence of a weak crossover transition. The formation of the ⇢ vortices was observed in lattice QCD in a strong magnetic field background.…”

Section: Nature Of the Transition To The Superconducting Ground Statesupporting

confidence: 76%

“…However, as it was shown in Ref. [87], the massless boson does not emerge in the superconducting phase of QCD because the U (1) I 3 global transformation (137) is, in fact, a part of the larger, electromagnetic symmetry group (135):…”

Section: Superconducting Properties Of Vacuum In Strong Magnetic Fielmentioning

confidence: 99%

“…,w h e r eL 0 = ↵L B ⇢ 1 and ↵ ⇡ 3.27 is a numerical constant associated with the geometry of the ⇢-vortex lattice. 89 Thus the expectation value of the ⇢-meson field is not able to reveal the presence in the thermodynamic limit.…”

Section: Nature Of the Transition To The Superconducting Ground Statementioning

confidence: 99%

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Superconducting properties of vacuum in strong magnetic field

Chernodub

2014

Int. J. Mod. Phys. D

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We discuss superconducting phases of vacuum induced by strong magnetic field in the Electroweak model and in Quantum Chromodynamics at zero temperature. In these phases the vacuum behaves as an anisotropic inhomogeneous superconductor which supports superconductivity along the axis of the magnetic field while in the transversal directions the superconductivity does not exist. The magnetic-field-induced anisotropic superconductivity appears as a result of condensation of electrically charged spin-one particles, which are elementary W bosons in the case of the Electroweak model and composite quark-antiquark pairs with quantum numbers of ρ mesons in the case of QCD. Due to the anisotropic nature of superconductivity the Meissner effect is absent. Intrinsic inhomogeneities of the superconducting ground state are characterized by ensembles of certain topological vortices in an analogy with a mixed Abrikosov state of a type-II superconductivity.Keywords:Q u a n t u mC h r o m o d y n a m i c s ,E l e c t r o w e a kM o d e l ,S t r o n gM a g n e t i cF i e l d ,S uperconductivity PACS numb ers: 11.15. Kc, 12.15.y, 74.90.+n * On leave from ITEP, Moscow, Russia. Strong magnetic fields may lead to many unusual phenomena both in dense matter and in the quantum vacuum. There are various QED effects associated with a critical magnetic field B QED = m 2 e c 3 /~e ⇡ 4.4 ⇥ 10 9 T at which the splitting between zeroth and first Landau electron's levels exceeds the rest energy of an electron, m e c 2 . Such strong fields make the QED vacuum optically birefringent, 1 leading to distortion and magnification of images (a magnetic lens effect), splitting and merging of photons and affecting strongly atomic spectra. 2At much stronger magnetic fields of the order of the QCD scale, B ⇠ 10 16 T various other interesting effects may happen. The magnetic fields of this strength may be created on Earth in heavy-ion collisions at the Large Hadron Collider at CERN in Europe and at Relativistic Heavy-Ion Collider at Brookhaven National Laboratory in the U.S.A..3-5 The colliding ions create the a plasma made of hot quarks, antiquarks and gluons, which are subjected to a short-lived strong magnetic field if the collisions are not central.6 Similar conditions may have also existed in the very early moments of our Universe. 7The chiral magnetic effect 6, 8-11 provides a particularly interesting example of the influence of the magnetic field on hot quark matter. Topological processes at the QCD scale may lead to a chiral asymmetry of quark matter which is characterized by a unequal densities of left and right quarks. The magnetic field may generate a dissipationless electric current in the parity-odd quark-gluon plasma leading to potentially observable phenomena in heavy-ion collisions. 12-15The hadron-scale magnetic field should also induce so-called magnetic catalysis, 16-20 which implies, in particular, a steady enhancement of chiral symmetry breaking in the cold QCD vacuum as the external magnetic field strengthens. A strong magnetic field ba...

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Section: Nature Of the Transition To The Superconducting Ground Statesupporting

confidence: 76%

Section: Superconducting Properties Of Vacuum In Strong Magnetic Fielmentioning

confidence: 99%

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Superconducting properties of vacuum in strong magnetic field

Chernodub

2014

Int. J. Mod. Phys. D

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“…The hadron masses were calculated from the background fields of Abelian monopoles [42]. The fermion zero modes have been derived from the background fields of magnetic monopoles [43,44].…”

Section: Jhep09(2020)113mentioning

confidence: 99%

Monopole and instanton effects in QCD

Hasegawa

2020

J. High Energ. Phys.

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We aim to show the effects of the magnetic monopoles and instantons in quantum chromodynamics (QCD) on observables; therefore, we introduce a monopole and anti-monopole pair in the QCD vacuum of a quenched SU(3) by applying the monopole creation operator to the vacuum. We calculate the eigenvalues and eigenvectors of the overlap Dirac operator that preserves the exact chiral symmetry in lattice gauge theory using these QCD vacua. We then investigate the effects of magnetic monopoles and instantons. First, we confirm the monopole effects as follows: (i) the monopole creation operator makes the monopoles and anti-monopoles in the QCD vacuum. (ii) A monopole and anti-monopole pair creates an instanton or anti-instanton without changing the structure of the QCD vacuum. (iii) The monopole and anti-monopole pairs change only the scale of the spectrum distribution without affecting the spectra of the Dirac operator by comparing the spectra with random matrix theory. Next, we find the instanton effects by increasing the number density of the instantons and anti-instantons as follows: (iv) the decay constants of the pseudoscalar increase. (v) The values of the chiral condensate, which are defined as negative numbers, decrease. (vi) The light quarks and the pseudoscalar mesons become heavy. The catalytic effect on the charged pion is estimated using the numerical results of the pion decay constant and the pion mass. (vii) The decay width of the charged pion becomes wider than the experimental result, and the lifetime of the charged pion becomes shorter than the experimental result. These are the effects of the monopoles and instantons in QCD.

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“…where φ is a Higgs field [17]. It is amusing that percolation produces the Higgs phenomenon without an explicit introduction of the Higgs potential.…”

Section: A Percolation Of 1d Defectsmentioning

confidence: 99%

Deconfinement phase transition in mirror of symmetries

Chernodub

Nakamura

Захаров

2011

Proc. Steklov Inst. Math.

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We argue that the deconfinement phase transition in Yang-Mills theories can be viewed as a change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four dimensions (4d) at temperatures below the critical temperature T (c) are replaced by particles, or field theories in 3d at T > T (c). The picture emerges within various approaches based on dual models, lattice data and effective field theoretic models. We concentrate mostly on the lattice data, or the language of quantum geometry

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Fermionic signature of the lattice monopoles

Cited by 6 publications

References 32 publications

Superconducting properties of vacuum in strong magnetic field

Superconducting properties of vacuum in strong magnetic field

Monopole and instanton effects in QCD

Deconfinement phase transition in mirror of symmetries

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