Monopoles From Instantons

Bruckmann, Falk

doi:10.1007/978-94-010-0502-9_5

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…The spontaneous breaking of chiral symmetry is attributed to the QCD instanton, which is the origin of dynamical mass generation [152]. The confinement nature is also explained in terms of magnetic monopole condensation in a special class of the gauge choice (see [153] for a lecture note).…”

Section: Topological Properties Probed By the Magnetic Fieldmentioning

confidence: 99%

QCD matter in extreme environments

Fukushima¹

2011

J. Phys. G: Nucl. Part. Phys.

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Abstract. We review various theoretical approaches to the states of QCD matter out of quarks and gluons in extreme environments such as the high-temperature states at zero and finite baryon density and the dimensionally reduced state under an intense magnetic field. The topics at high temperature include the Polyakov loop and the 't Hooft loop in the perturbative regime, the Polyakov loop behaviour and the phase transition in some of non-perturbative methods; the strong-coupling expansion, the large-N c limit and the holographic QCD models. These analyses are extended to hot and dense matter with a finite baryon chemical potential. We point out that the difficulty in the finite-density problem has similarity to that under a strong magnetic field. We make a brief summary of results related to the topological contents probed by the magnetic field and the Chiral Magnetic Effect. We also address the close connection to the (1+1) dimensional system.

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Section: Topological Properties Probed By the Magnetic Fieldmentioning

confidence: 99%

QCD matter in extreme environments

Fukushima¹

2011

J. Phys. G: Nucl. Part. Phys.

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“…To see how instantons are built from monopoles we take the point of view of Abelian projections (for a detailed prescription see [8]). An Abelian gauge is a partial gauge fixing leaving the maximal Abelian subgroup 1 untouched.…”

Section: Introductionmentioning

confidence: 99%

Hopf defects as seeds for monopole loops

Bruckmann¹

2001

J. High Energy Phys.

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We investigate the relation between instantons and monopoles in the Laplacian Abelian Gauge using analytical methods in the continuum. Our starting point is the fact that the 't Hooft instanton with its high symmetry leads to a pointlike defect with Hopf invariant one. In order to generalise this result we partly break the symmetry by a local perturbation. We find that for generic configurations near the 't Hooft instanton the defects become loops. The analytical results show explicitly that these defects are magnetic monopoles with unit charge. In addition, the monopoles are twisted to account for the instanton number of the background.

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A mass for the dual axion

Platschorre

2024

J. High Energ. Phys.

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In this article we study a modification of axion physics in which the dual axion acquires a mass. This mass explicitly breaks the shift symmetry of the dual axion. The potential breaking of this shift symmetry poses a dual axion quality problem. When the dual axion acquires a mass, the axion gets eaten and becomes the longitudinal degree of freedom of a massive vector field. In this phase, axion strings are screened and far-separated instanton configurations are exponentially suppressed. This confinement of instantons corresponds to the worldline action of a particle-like soliton traveling between the instantons analogous to Abrikosov/Nielsen-Oleson vortex solitons that stretch between confined magnetic monopoles in a superconductor. We calculate the cost of this additional worldline suppression and provide several models in which both the confined instantons and confining worldline are dynamical.

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Monopoles From Instantons

Cited by 4 publications

References 8 publications

QCD matter in extreme environments

QCD matter in extreme environments

Hopf defects as seeds for monopole loops

A mass for the dual axion

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