Higgs Particle(s) 1990
DOI: 10.1007/978-1-4757-0908-7_3
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Lattice Studies of the Higgs System

Abstract: Investigation of the coupled Higgs and gauge fields on the lattice has elucidated the gauge invariant formulation and several non-perturbative aspects of the Higgs mechanism. in particular its properties for strong gauge coupling and its relationship to confinement. However. until now no indication has been found for the gauge field to inhibit the vanishing of the ~4 coupling in the limit of infinite cut-off. The scalar sector dominates the properties of the Higgs mechanism, and the cut-off cannot be removed.W… Show more

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Cited by 2 publications
(5 citation statements)
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“…If the fields A and φ are a set of solutions of the field equations for the U (1) gauge-scalar model with a radially fixed scalar field, they automatically satisfy the reduction condition (31) for pure U (1) gauge theory.…”
Section: Field Equations To the Reduction Conditionmentioning
confidence: 99%
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“…If the fields A and φ are a set of solutions of the field equations for the U (1) gauge-scalar model with a radially fixed scalar field, they automatically satisfy the reduction condition (31) for pure U (1) gauge theory.…”
Section: Field Equations To the Reduction Conditionmentioning
confidence: 99%
“…See [15][16][17] for a fundamental scalar and [18][19][20][21][22][23] for an adjoint scalar case. (The Fradkin-Shenker continuity does not hold even for the fundamental scalar model if the scalar field has the variable length with a sufficiently small 0 < λ 1 self-interaction coupling λ for the potential term V = λ(||φ(x)|| 2 − v 2 ) 2 [24][25][26][27][28][29][30][31][32]. Higgs phase and Confinement phase are not analytically continued in the phase diagram and separated by the phase transition.)…”
Section: Introductionmentioning
confidence: 99%
“…The eigenvalues µ ± of M can be expressed as µ ± = e ±ω , cosh ω = 1 + 1 2 ω 2 , (2. 35) and the linear combinations sought are given by â = ν[sinh(ω q) + ip],…”
Section: Spectrum Of the Transfer Operatormentioning
confidence: 99%
“…Recalling that ω is really aω, and similarly for ω, we see by expanding (2. 35) in powers of a, i.e. cosh(aω) = 1 + a 2 ω2 /2 + a 4 ω4 /24…”
Section: Spectrum Of the Transfer Operatormentioning
confidence: 99%
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