Gauge field theories on a lattice

Osterwalder, Konrad; Seiler, Erhard

doi:10.1016/0003-4916(78)90039-8

Cited by 758 publications

(661 citation statements)

References 27 publications

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“…If µ 2 is positive, the SU(2) L gauge bosons remain massless and lead to a confinement of the corresponding electroweak charges. As pointed out by Osterwalder and Seiler [4] and, using the lattice approach, by Fradkin and Shenker [5], there is no phase transition between the Higgs phase and the confinement phase if the theory has a scalar field in the fundamental representation of the gauge group. However, they were restricting themselves to the case of an SU(2) gauge group without fermions and using the so-called frozen Higgs approximation.…”

Section: The Electroweak Gauge Group and Confinementmentioning

confidence: 91%

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The electroweak interactions as a confinement phenomenon

Calmet¹,

Fritzsch²

2000

Physics Letters B

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We consider a model for the electroweak interactions based on the assumption that physical particles are singlets under the gauge group SU (2). The concept of complementarity explains why the standard model works with such an extraordinary precision although the fermions and bosons of the model can be viewed as composite objects of some more fundamental fermions and bosons. We study the incorporation of QED in the model. Furthermore we consider possible deviations from the standard model at very high energies, e.g. excited states of the weak bosons.

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Section: The Electroweak Gauge Group and Confinementmentioning

confidence: 91%

“…As in particular emphasized by 't Hooft, the asymmetry between the two sectors is, in fact, much less pronounced if one views the electroweak gauge model from a different point of view [3], using the idea of complementarity [4,5]. Like in QCD, the electroweak sector can be built upon a confining gauge theory.…”

Section: Introductionmentioning

confidence: 99%

The electroweak interactions as a confinement phenomenon

Calmet¹,

Fritzsch²

2000

Physics Letters B

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“…In particular we introduce maximally twisted (Mtm) sea quarks [11] that we take in combination with Osterwalder-Seiler (OS) [38] valence quarks. This strategy has been suggested in ref.…”

Section: Jhep03(2013)089mentioning

confidence: 99%

“…[48] has been used. For valence quarks we use the OS regularization [38]. The full valence action is given by the sum of the contributions of each individual valence flavour q f and reads [12] S OS val = a 4…”

Section: Sea and Valence Quark Regularizationmentioning

confidence: 99%

Kaon mixing beyond the SM from Nf = 2 tmQCD and model independent constraints from the UTA

Bertone

Carrasco

Ciuchini

et al. 2013

J. High Energ. Phys.

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We present the first unquenched, continuum limit, lattice QCD results for the matrix elements of the operators describing neutral kaon oscillations in extensions of the Standard Model. Owing to the accuracy of our calculation on ∆S = 2 weak Hamiltonian matrix elements, we are able to provide a refined Unitarity Triangle analysis improving the bounds coming from model independent constraints on New Physics. In our nonperturbative computation we use a combination of N f = 2 maximally twisted sea quarks and Osterwalder-Seiler valence quarks in order to achieve both O(a)-improvement and continuum-like renormalization properties for the relevant four-fermion operators. The calculation of the renormalization constants has been performed non-perturbatively in the RI-MOM scheme. Based on simulations at four values of the lattice spacing and a number of quark masses we have extrapolated/interpolated our results to the continuum limit and physical light/strange quark masses.

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“…Strictly speaking, this theory is non-confining for all values of β, γ. In particular, there is no thermodynamic phase transition (non-analyticity in the free energy), from the Higgs phase to a confinement phase; this is the content of a well-known theorem by Osterwalder and Seiler [10], and Fradkin and Shenker [11]. However, the Osterwalder-Seiler-Fradkin-Shenker (OS-FS) theorem is not the last word on phase structure in the gauge-Higgs system.…”

Section: Gauge-higgs Theorymentioning

confidence: 99%

Center vortices and the Gribov horizon

Greensite

Olejník

Zwanziger

2005

J. High Energy Phys.

154

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We show how the infinite color-Coulomb energy of color-charged states is related to enhanced density of near-zero modes of the Faddeev-Popov operator, and calculate this density numerically for both pure Yang-Mills and gauge-Higgs systems at zero temperature, and for pure gauge theory in the deconfined phase. We find that the enhancement of the eigenvalue density is tied to the presence of percolating center vortex configurations, and that this property disappears when center vortices are either removed from the lattice configurations, or cease to percolate. We further demonstrate that thin center vortices have a special geometrical status in gauge-field configuration space: Thin vortices are located at conical or wedge singularities on the Gribov horizon. We show that the Gribov region is itself a convex manifold in lattice configuration space. The Coulomb gauge condition also has a special status; it is shown to be an attractive fixed point of a more general gauge condition, interpolating between the Coulomb and Landau gauges.

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Gauge field theories on a lattice

Cited by 758 publications

References 27 publications

The electroweak interactions as a confinement phenomenon

The electroweak interactions as a confinement phenomenon

Kaon mixing beyond the SM from Nf = 2 tmQCD and model independent constraints from the UTA

Center vortices and the Gribov horizon

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