Gauss’s law and gauge-invariant operators and states in QCD

Chen, Lusheng; Belloni, Mario; Haller, Kurt

doi:10.1103/physrevd.55.2347

Cited by 19 publications

(74 citation statements)

References 15 publications

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“…Although we are not aware of any work in this particular direction, we note that such a formulation has been achieved in the absence of spontaneous symmetry breaking for the specific case of quantum chromodynamics (see, e.g., Refs. [55,56] and references therein).…”

Section: Discussionmentioning

confidence: 99%

Gravity waves from a cosmological phase transition: Gauge artifacts and daisy resummations

2011

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The finite-temperature effective potential customarily employed to describe the physics of cosmological phase transitions often relies on specific gauge choices, and is manifestly not gauge-invariant at finite order in its perturbative expansion. As a result, quantities relevant for the calculation of the spectrum of stochastic gravity waves resulting from bubble collisions in first-order phase transitions are also not gauge-invariant. We assess the quantitative impact of this gauge-dependence on key quantities entering predictions for gravity waves from first order cosmological phase transitions. We resort to a simple abelian Higgs model, and discuss the case of R ξ gauges. By comparing with results obtained using a gauge-invariant Hamiltonian formalism, we show that the choice of gauge can have a dramatic effect on theoretical predictions for the normalization and shape of the expected gravity wave spectrum. We also analyze the impact of resumming higher-order contributions as needed to maintain the validity of the perturbative expansion, and show that doing so can suppress the amplitude of the spectrum by an order of magnitude or more. We comment on open issues and possible strategies for carrying out "daisy resummed" gauge invariant computations in non-Abelian models for which a gauge-invariant Hamiltonian formalism is not presently available.

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Section: Discussionmentioning

confidence: 99%

Gravity waves from a cosmological phase transition: Gauge artifacts and daisy resummations

2011

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“…An algorithm for the construction of the minimal dressing is presented in the appendix of [5]. In the static limit the minimally dressed expression has been investigated by Haller and collaborators [6]. We are as yet unaware of a closed expression.…”

Section: E Bagan Et Al/nuclear Physics B (Proc Suppl) 133 (2004) 27mentioning

confidence: 98%

On electric and magnetic charges in gauge theories

Bagán

Horan

Kovner

et al. 2004

Nuclear Physics B - Proceedings Supplements

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“…In earlier work, we have obtained an integral equation for the resolvent field, [4] given by (4) where…”

Section: Gauss's Law and Gauge In-variancementioning

confidence: 99%

Gauge-invariant quark and gluon fields in QCD: dynamics, topology, and the gribov ambiguity

Haller¹

2002

Nuclear Physics B - Proceedings Supplements

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We review the implementation, in a temporal-gauge formulation of QCD, of the non-Abelian Gauss's law and the construction of gauge-invariant gauge and matter fields. We then express the QCD Hamiltonian in terms of these gauge-invariant operator-valued fields, and discuss the relation of this Hamiltonian and the gauge-invariant fields to the corresponding quantities in a Coulomb gauge formulation of QCD. We argue that a representation of QCD in terms of gauge-invariant quantities could be particularly useful for understanding low-energy phenomenology. We present the results of an investigation into the topological properties of the gauge-invariant fields, and show that there are Gribov copies of these gauge-invariant gauge fields, which are constructed in the temporal gauge, even though the conditions that give rise to Gribov copies do not obtain for the gauge-dependent temporal-gauge fields.

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Gauss’s law and gauge-invariant operators and states in QCD

Cited by 19 publications

References 15 publications

Gravity waves from a cosmological phase transition: Gauge artifacts and daisy resummations

Gravity waves from a cosmological phase transition: Gauge artifacts and daisy resummations

On electric and magnetic charges in gauge theories

Gauge-invariant quark and gluon fields in QCD: dynamics, topology, and the gribov ambiguity

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