A layer phase in a non-isotropic U(1) lattice gauge theory: A new way in dimensional reduction

Fu, Y.K.; Nielsen, Hans Bruun

doi:10.1016/0550-3213(84)90529-7

Cited by 64 publications

(98 citation statements)

References 2 publications

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“…In order to acquire an intuitive understanding we shall also use mean field theory. Both have already shed considerable light for the case of pure gauge theories [4,5,6,7] as well as when fermions are included [6]. A new phase has been discovered in the pure U(1) gauge theory in 5 dimensions, where four dimensional "layers" in the Coulomb phase are separated from each other by a confining force.…”

Section: Introductionmentioning

confidence: 99%

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Phase structure of the 5D abelian Higgs model with anisotropic couplings

Dimopoulos¹,

Farakos²,

Koutsoumbas³

et al. 2001

J. High Energy Phys.

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We establish the phase diagram of the five-dimensional anisotropic Abelian Higgs model by mean field techniques and Monte Carlo simulations. The anisotropy is encoded in the gauge couplings as well as in the Higgs couplings. In addition to the usual bulk phases (confining, Coulomb and Higgs) we find four-dimensional "layered" phases (3-branes) at weak gauge coupling, where the layers may be in either the Coulomb or the Higgs phase, while the transverse directions are confining. *

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Section: Introductionmentioning

confidence: 99%

“…Let us now recall the salient features of the pure U(1) phase diagram with anisotropic couplings (more details may be found in [4,6,7]). For large values for β and β , the model lies in a Coulomb phase in five dimensions.…”

Section: Formulation Of the Modelmentioning

confidence: 99%

Phase structure of the 5D abelian Higgs model with anisotropic couplings

Dimopoulos¹,

Farakos²,

Koutsoumbas³

et al. 2001

J. High Energy Phys.

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“…The correct solution is the configuration that minimizes the free energy, − log Z. Fu and Nielsen [1] guessed that α i (l) = v i (l) = 0 for all links l and, furthermore,…”

Section: Mean Field Theory For 4+d Abelian Gauge Theory and Order Of mentioning

confidence: 99%

“…The intuition of Fu and Nielsen [1] for the occurrence of the layered phase is worthwhile bringing up at this point.…”

Section: Introductionmentioning

confidence: 99%

“…It was realized some time ago [1] that lattice gauge theories with anisotropic couplings may have an extra, "layered", phase. The prototype of such a system is the 4 + 1-dimensional U(1) theory, in which the plaquettes in four dimensions have the same coupling constant β = 1/g 2 , whereas all plaquettes with links in the fifth dimension have coupling β ′ = 1/g ′2 .…”

Section: Introductionmentioning

confidence: 99%

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Gauge theories with a layered phase

Nicolis

1995

Nuclear Physics B - Proceedings Supplements

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Derivation of Poincaré invariance from general quantum field theory

Froggatt¹,

Nielsen²

2005

Ann. Phys.

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Starting from a very general quantum field theory we seek to derive Poincaré invariance in the limit of low energy excitations. We do not, of course, assume these symmetries at the outset, but rather only a very general second quantised model. Many of the degrees of freedom on which the fields depend turn out to correspond to a higher dimension. We are not yet perfectly successful. In particular, for the derivation of translational invariance, we need to assume that some background parameters, which a priori vary in space, can be interpreted as gravitational fields in a future extension of our model. Assuming translational invariance arises in this way, we essentially obtain quantum electrodynamics in just 3 + 1 dimensions from our model. The only remaining flaw in the model is that the photon and the various Weyl fermions turn out to have their own separate metric tensors.

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A layer phase in a non-isotropic U(1) lattice gauge theory: A new way in dimensional reduction

Cited by 64 publications

References 2 publications

Phase structure of the 5D abelian Higgs model with anisotropic couplings

Phase structure of the 5D abelian Higgs model with anisotropic couplings

Gauge theories with a layered phase

Derivation of Poincaré invariance from general quantum field theory

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