Stable anomalous states of superdense matter in gauge theories

Rubakov, V. A.; Тавхелидзе, А.Н.

doi:10.1016/0370-2693(85)90701-4

Cited by 81 publications

(57 citation statements)

References 16 publications

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“…The most obvious comparison is made between the lattice version ofÕ cont 3 and (23), since the non-local lattice action is closest to the Chern-Simons like term in (23). After a little algebra we find that the naive relation between the µ which appears in (23) and µ 3 multiplying the lattice action is given by µ a = 8µ 3 β G…”

Section: Discussionmentioning

confidence: 99%

“…Ref. [3] only discusses one of an infinite number of contributions to the effective Hamiltonian which arises when one integrates out the fermions from the underlying theory. In the same way we have here only considered the lattice version of one of these terms in the effective action and the final result was a condensate which was a lattice artifact, but which nevertheless has the essential features of the condensate suggested in [3].…”

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confidence: 99%

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Parity breaking at high temperature and density

Ambjørn¹,

Farakos²,

Shaposhnikov

1993

Nuclear Physics B

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We investigate the question of parity breaking in three-dimensional Euclidean SU(2) gauge-Higgs theory by Monte Carlo simulations. We observe no sign of spontaneous parity breaking in the behaviour of both local and non-local gauge invariant operators. However, the presence of parity odd terms in the action can induce a phase transition to a parity odd ground state which is characterized by a Chern-Simons like condensate. The implications for various proposed scenarios of fermion number non-conservation is discussed.

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Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

Parity breaking at high temperature and density

Ambjørn¹,

Farakos²,

Shaposhnikov

1993

Nuclear Physics B

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“…One can now see qualitatively that there is an instability in hot matter with an excess of right electrons toward formation of hypercharge fields with CS number as follows. (The line of reasoning presented here is similar to the consideration of cold fermionic matter with anomalous charges in [9].) The energy density "sitting" in right electrons with a chemical potential m R is of the order m 2 R T 2 , and their number density of order m R T 2 .…”

mentioning

confidence: 82%

“…(The line of reasoning presented here is similar to the consideration of cold fermionic matter with anomalous charges in [9].) The energy density "sitting" in right electrons with a chemical potential m R is of the order m 2 R T 2 , and their number density of order m R T 2 .…”

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confidence: 90%

Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly

1997

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In the standard model there are charges with Abelian anomaly only (e.g., right-handed electron number) which are effectively conserved in the early Universe until some time shortly before the electroweak scale. A state at finite chemical potential of such a charge, possibly arising due to asymmetries produced at the grand unified theory scale, is unstable to the generation of hypercharge magnetic field. Quite large magnetic fields (ϳ10 22 G at T ϳ 100 GeV with typical inhomogeneity scale ϳ 10 6 T ) can be generated. These fields may be of cosmological interest, potentially acting as seeds for amplification to larger scale magnetic fields through nonlinear mechanisms. Previously derived bounds on exotic B 2 L violating operators may also be evaded. [S0031-9007(97)03866-0] PACS numbers: 98.80. Cq, 11.10.Wx, 11.30.Fs, 98.62.En It is usually assumed that the early Universe at temperatures above the electroweak scale and below, say, 10 12 10 16 GeV (depending on the model of inflation) consists of an (almost) equilibrium primordial plasma of elementary particles, in which any long-range fields are absent. One exception is in the context of the problem of generating galactic magnetic fields, which may require the presence of primordial seed magnetic fields which are subsequently amplified by a galactic dynamo mechanism (see, e.g., [1]). The creation of long range magnetic fields requires that conformal invariance be broken in the coupling of the electromagnetic field to gravity [2], and a number of mechanisms based on different ideas about this breaking have been proposed to date [2,3]. In this Letter we argue that there may be a relation between the appearance of magnetic fields in the early Universe and two other, apparently completely unrelated, phenomena: (i) The smallness of the electron Yukawa coupling constant, and (ii) possible lepton asymmetry of the early Universe.In short, the logic goes as follows. There are three exact conservation laws in the standard electroweak theory. The associated conserved charges can be written aswhere L i is the lepton number of ith generation and B is the baryon number. The fourth possible combination, B 1 P i L i is not conserved because of electroweak anomalous processes, which are in thermal equilibrium in the range 100 , T , 10 12 GeV [4]. Now, if h e 0, where h e is the right electron Yukawa coupling constant, then the electroweak theory on the classical level shows a higher symmetry, associated with the chiral rotation of the right electron field. For the small actual value of the Yukawa coupling (h e 2.94 3 10 26 in the MSM), this symmetry has an approximate character. At temperatures higher than T R Ӎ 80 TeV perturbative processes with right electron chirality flip are slower than the expansion rate of the Universe [5], and therefore this symmetry may be considered as an exact one on the classical level at T . T R [6]. [The importance of this symmetry for the consideration of the washout of the grand unified theory (GUT) baryon asymmetry by anomalous electroweak B and...

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“…This is the chiral plasma instability. 2 A related instability has also been pointed out for the electroweak theory at high density [23][24][25][26][27] and for the primordial magnetic field in the early Universe [3,28], using different theoretical frameworks. Notably, the instability was analyzed based on the nonlocal hard dense loop effective action in Ref.…”

Section: Introductionmentioning

confidence: 98%

Chiral Langevin theory for non-Abelian plasmas

Akamatsu

Yamamoto

2014

Phys. Rev. D

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Charged plasmas with chirality imbalance are unstable and tend to reduce the imbalance. This chiral plasma instability is, however, not captured in (anomalous) hydrodynamics for high-temperature non-Abelian plasmas. We derive a Langevintype classical effective theory with anomalous parity-violating effects for non-Abelian plasmas that describes the chiral plasma instability at the magnetic scale. We show that the time scale of the instability is of order [g 4 T ln(1/g)] −1 at weak coupling.

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Stable anomalous states of superdense matter in gauge theories

Cited by 81 publications

References 16 publications

Parity breaking at high temperature and density

Parity breaking at high temperature and density

Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly

Chiral Langevin theory for non-Abelian plasmas

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