Quantum chromodynamics

Marciano, William J.; Pagels, Heinz

doi:10.1016/0370-1573(78)90208-9

Cited by 777 publications

(600 citation statements)

References 227 publications

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“…The longitudinal momenta responsible for these diagrammatic rearrangements stem either (a) from the bare gluon propagators contained inside the various Feynman diagrams, 1) and/or (b) from the "pinching part" Γ P αµν (q, p 1 , p 2 ) appearing in the characteristic decomposition of the bare three-gluon vertex Γ eab αµν = gf eab Γ αµν into [11] Γ αµν (q,…”

Section: Jhep12(2006)012mentioning

confidence: 99%

“…The PT construction of the effective one-loop self-energy Π [1] µν (q) can be most easily constructed directly in the Feynman gauge. It amounts to adding to the conventional one-loop Π [1] µν (q) (figure 1, (a) and (b)) the pinch contributions coming from vertex graphs, shown schematically in (c).…”

Section: Jhep12(2006)012mentioning

confidence: 99%

“…In part the difficulty lies in the fact that the symmetries governing the QCD Lagrangian prohibit the appearance of mass terms for all fundamental degrees of freedom at tree-level and, provided that these symmetries are not violated through the procedure of regularization, this masslessness persists to all orders in perturbation theory. Thus, mass generation in QCD becomes an inherently non-perturbative problem, whose tackling requires the employment of rather sophisticated calculational tools and approximation schemes [1].…”

Section: Introductionmentioning

confidence: 99%

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Gluon mass generation in the PT-BFM scheme

Aguilar

Papavassiliou

2006

J. High Energy Phys.

193

316

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In this article we study the general structure and special properties of the Schwinger-Dyson equation for the gluon propagator constructed with the pinch technique, together with the question of how to obtain infrared finite solutions, associated with the generation of an effective gluon mass. Exploiting the known all-order correspondence between the pinch technique and the background field method, we demonstrate that, contrary to the standard formulation, the non-perturbative gluon self-energy is transverse order-byorder in the dressed loop expansion, and separately for gluonic and ghost contributions. We next present a comprehensive review of several subtle issues relevant to the search of infrared finite solutions, paying particular attention to the role of the seagull graph in enforcing transversality, the necessity of introducing massless poles in the three-gluon vertex, and the incorporation of the correct renormalization group properties. In addition, we present a method for regulating the seagull-type contributions based on dimensional regularization; its applicability depends crucially on the asymptotic behavior of the solutions in the deep ultraviolet, and in particular on the anomalous dimension of the dynamically generated gluon mass. A linearized version of the truncated Schwinger-Dyson equation is derived, using a vertex that satisfies the required Ward identity and contains massless poles belonging to different Lorentz structures. The resulting integral equation is then solved numerically, the infrared and ultraviolet properties of the obtained solutions are examined in detail, and the allowed range for the effective gluon mass is determined. Various open questions and possible connections with different approaches in the literature are discussed.

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Section: Jhep12(2006)012mentioning

confidence: 99%

Section: Jhep12(2006)012mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Gluon mass generation in the PT-BFM scheme

Aguilar

Papavassiliou

2006

J. High Energy Phys.

193

316

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“…One of the contributions to be taken into account is the ghost loop, constructed from two ghost-gluon vertices (35) and two ghost propagators [see Eq. (34)], and furthermore two static gluon propagators from Eq.…”

Section: Equal-time Two-point Correlation Functionsmentioning

confidence: 99%

Equal-time two-point correlation functions in Coulomb gauge Yang–Mills theory

Campagnari¹,

Weber²,

Reinhardt³

et al. 2011

Nuclear Physics B

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We apply a functional perturbative approach to the calculation of the equal-time two-point correlation functions and the potential between static color charges to oneloop order in Coulomb gauge Yang-Mills theory. The functional approach proceeds through a solution of the Schrödinger equation for the vacuum wave functional to order g 2 and derives the equal-time correlation functions from a functional integral representation via new diagrammatic rules. We show that the results coincide with those obtained from the usual Lagrangian functional integral approach, extract the beta function, and determine the anomalous dimensions of the equal-time gluon and ghost two-point functions and the static potential under the assumption of multiplicative renormalizability to all orders. *

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“…The color group SU(3) c is never broken; quantum chromodynamic (QCD) interactions are (non-)perturbative at (low)high energies -the infamous asymptotic freedom of color group. It is the non-perturbativity of SU(3) c at the infrared that is responsible for confinement of quarks to form hadrons [4].…”

Section: Electroweak Theorymentioning

confidence: 99%

Introduction to Higgs Sector: Theory and Phenomenology

Demir

2008

Springer Proceedings in Physics

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Quantum chromodynamics

Cited by 777 publications

References 227 publications

Gluon mass generation in the PT-BFM scheme

Gluon mass generation in the PT-BFM scheme

Equal-time two-point correlation functions in Coulomb gauge Yang–Mills theory

Introduction to Higgs Sector: Theory and Phenomenology

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