Exceptional deconfinement in gauge theory

Pepe, Michele; Wiese, U.‐J.

doi:10.1016/j.nuclphysb.2006.12.024

Cited by 96 publications

(170 citation statements)

References 57 publications

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“…First we confirmed the proposed and earlier seen [6,16] first order transition for pure G 2 -gluodynamics which corresponds to the line κ = 0 in the phase diagram of the Higgs model. A first analysis on smaller lattices indicated that this first order transition is connected to the first order deconfinement transition in SU (3)-gluodynamics, corresponding to the limit κ → ∞, by a smooth curve of first order transitions.…”

Section: Discussionsupporting

confidence: 87%

“…The smallest simple and simply connected Lie group with a trivial center is the 14 dimensional exceptional Lie group G 2 . This is one reason why G 2 gauge theory with and without Higgsfields has been investigated in series of papers [6][7][8][9][10][11]. Although there is no symmetry * bjoern.wellegehausen@uni-jena.de, wipf@tpi.uni-jena.de and Christian.Wozar@uni-jena.de reason for a deconfinement phase transition in G 2 gluodynamics it has been conjectured that a first order deconfinement transition without order parameter exists.…”

Section: Introductionmentioning

confidence: 99%

“…As in QCD they are expected to weaken the deconfinement phase transition. Thus it has been conjectured in [6] that there may exist a critical endpoint where the transition disappears.…”

Section: Introductionmentioning

confidence: 99%

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Phase diagram of the latticeG2Higgs model

Wellegehausen

Wipf²,

Wozar³

2011

Phys. Rev. D

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We study the phases and phase transition lines of the finite temperature G2 Higgs model. Our work is based on an efficient local hybrid Monte-Carlo algorithm which allows for accurate measurements of expectation values, histograms and susceptibilities. On smaller lattices we calculate the phase diagram in terms of the inverse gauge coupling β and the hopping parameter κ. For κ → 0 the model reduces to G2 gluodynamics and for κ → ∞ to SU (3) gluodynamics. In both limits the system shows a first order confinement-deconfinement transition. We show that the first order transitions at asymptotic values of the hopping parameter are almost joined by a line of first order transitions. A careful analysis reveals that there exists a small gap in the line where the first order transitions turn into continuous transitions or a cross-over region. For β → ∞ the gauge degrees of freedom are frozen and one finds a nonlinear O(7) sigma model which exhibits a second order transition from a massive O(7)-symmetric to a massless O(6)-symmetric phase. The corresponding second order line for large β remains second order for intermediate β until it comes close to the gap between the two first order lines. Besides this second order line and the first order confinement-deconfinement transitions we find a line of monopole-driven bulk transitions which do not interfer with the confinement-deconfinment transitions.

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Section: Discussionsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

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Phase diagram of the latticeG2Higgs model

Wellegehausen

Wipf²,

Wozar³

2011

Phys. Rev. D

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“…What is probably surprising is that the results of these analysis gave a picture much similar to that of standard SU(N ) theory: the spectrum of the G 2 theory at zero temperature is composed only of color neutral objects [11,12,15], the string tension at intermediate distances (i.e. before string breaking [20]) satisfies Casimir scaling [13,18,20], a first order deconfinement transition is present [14,16,22], (quenched) chiral symmetry is broken in the low temperature phase and restored above the critical temperature [19], the topological susceptibility is suppressed above deconfinement [21], propagators [17] and thermodynamical observables (like e.g. pressure and trace anomaly) [22] do not show any qualitative difference with respect to the SU(N ) case.…”

Section: Jhep03(2015)006mentioning

confidence: 98%

“…Bearing all this in mind, it is not surprising that the G 2 lattice gauge theory was actively investigated in the past, both at zero and finite temperature [11][12][13][14][15][16][17][18][19][20][21][22]. What is probably surprising is that the results of these analysis gave a picture much similar to that of standard SU(N ) theory: the spectrum of the G 2 theory at zero temperature is composed only of color neutral objects [11,12,15], the string tension at intermediate distances (i.e.…”

Section: Jhep03(2015)006mentioning

confidence: 99%

Topology and θ dependence in finite temperature G 2 lattice gauge theory

Bonati

2015

J. High Energ. Phys.

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In this work we study the topological properties of the G 2 lattice gauge theory by means of Monte Carlo simulations. We focus on the behaviour of topological quantities across the deconfinement transition and investigate observables related to the θ dependence of the free energy. As in SU(N ) gauge theories, an abrupt change happens at deconfinement and an instanton gas behaviour rapidly sets in for T > T c .

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The Topology of the Quantum Vacuum

Volovik

2013

Lecture Notes in Physics

111

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Topology in momentum space is the main characteristics of the ground states of a system at zero temperature, the quantum vacua. The gaplessness of fermions in bulk, on the surface or inside the vortex core is protected by topology, and is not sensitive to details of the microscopic physics (atomic or trans-Planckian). Irrespective of the deformation of the parameters of the microscopic theory, the energy spectrum of these fermions remains strictly gapless. This solves the main hierarchy problem in particle physics: for fermionic vacua with Fermi points the masses of elementary particles are naturally small. The quantum vacuum of Standard Model is one of the representatives of topological matter alongside with topological superfluids and superconductors, topological insulators and semi-metals, etc. There is a number of of topological invariants in momentum space of different dimensions. They determine universality classes of the topological matter and the type of the effective theory which emerges at low energy. In many cases they also give rise to emergent symmetries, including the effective Lorentz invariance, and emergent phenomena such as effective gauge and gravitational fields. The topological invariants in extended momentum and coordinate space determine the bulk-surface and bulkvortex correspondence. They connect the momentum space topology in bulk with the real space. These invariants determine the gapless fermions living on the surface of a system or in the core of topological defects (vortices, strings, domain walls, solitons, monopoles, etc.). The momentum space topology gives some lessons for quantum gravity. In effective gravity emerging at low energy, the collective variables are the tetrad field and spin connections, while the metric is the composite object of tetrad field. This suggests that the Einstein-Cartan-Sciama-Kibble theory with torsion field is more relevant. There are also several scenarios of Lorentz invariance violation governed by topology, including splitting of Fermi point and development of the Dirac points with quadratic and cubic spectrum. The latter leads to the natural emergence of the Hořava-Lifshitz gravity.

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Exceptional deconfinement in gauge theory

Cited by 96 publications

References 57 publications

Phase diagram of the latticeG2Higgs model

Phase diagram of the latticeG2Higgs model

Topology and θ dependence in finite temperature G 2 lattice gauge theory

The Topology of the Quantum Vacuum

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