Yang-Mills Theories in Algebraic Non-Covariant Gauges

Bassetto, A.; Nardelli, Giuseppe; Soldati, Roberto

doi:10.1142/1341

Cited by 150 publications

(235 citation statements)

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“…Such an unpleasant feature is however not specific to LFD, but also takes place in 4DF formalism, as explained in Ref. [19]. This is caused by the bad regularization of the singularity in ω·k to which the function C(p 2 ) is sensitive.…”

Section: Analytical Results and Discussionmentioning

confidence: 96%

Renormalized nonperturbative fermion model in covariant light-front dynamics

2004

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Within the framework of the covariant formulation of Light-Front Dynamics, we develop a nonperturbative renormalization scheme in the fermion model supposing that the composite fermion is a superposition of the "bare" fermion and a fermion+boson state. We first assume the constituent boson to be spinless. Then we address the case of gauge bosons in the Feynman and in the Light-Cone gauges. For all these cases the fermion state vector and the necessary renormalization counterterms are calculated analytically. It turns out that in Light-Front Dynamics, to restore the rotational invariance, an extra counterterm is needed, having no any analogue in Feynman approach. For gauge bosons the results obtained in the two gauges are compared with each other. In general, the number of spin components of the two-body (fermion+boson) wave function depends on the gauge. But due to the two-body Fock space truncation, only one non-zero component survives for each gauge. And moreover, the whole solutions for the state vector, found for the Feynman and Light-Cone gauges, are the same (except for the normalization factor). The counterterms are however different. *

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Section: Analytical Results and Discussionmentioning

confidence: 96%

Renormalized nonperturbative fermion model in covariant light-front dynamics

2004

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“…In summary, no need arises to rely on the arbitrary ultraviolet regularization, no extra lower bound on momenta is needed, and no off-shell energy parameter is introduced. The notion of effective constituents is then a natural candidate for the phenomenology of hadronic wave functions [24] to be put on the firm ground of Hamiltonian quantum mechanics, with an open path to make connection with diagrammatic techniques [25] for scattering amplitudes.…”

Section: Three-gluon Vertexmentioning

confidence: 99%

Dynamics of effective gluons

Głazek

2001

Phys. Rev. D

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Renormalized Hamiltonians for gluons are constructed using a perturbative boost-invariant renormalization group procedure for effective particles in light-front QCD, including terms up to third order. The effective gluons and their Hamiltonians depend on the renormalization group parameter λ, which defines the width of momentum space form factors that appear in the renormalized Hamiltonian vertices. Third-order corrections to the three-gluon vertex exhibit asymptotic freedom, but the rate of change of the vertex with λ depends in a finite way on regularization of small-x singularities. This dependence is shown in some examples, and a class of regularizations with two distinct scales in x is found to lead to the Hamiltonian running coupling constant whose dependence on λ matches the known perturbative result from Lagrangian calculus for the dependence of gluon three-point Green's function on the running momentum scale at large scales. In the Fock space basis of effective gluons with small λ, the vertex form factors suppress interactions with large kinetic energy changes and thus remove direct couplings of low energy constituents to high energy components in the effective bound state dynamics. This structure is reminiscent of parton and constituent models of hadrons.

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“…The limitations are those inherent to perturbation theory in quantum gravity (i.e., non renormalizability for the Einstein theory, or non unitarity for the (R + R 2 )-theory), and those due to the mathematical complexity of the radial propagator. On the other hand, some problems typical of algebraic gauges, like the need for special prescriptions in order to define uniquely the propagator [see for instance Bassetto, Nardelli and Soldati, 1991;Gaigg and Kummer, 1990], do not affect the radial gauge. Also, in four dimensions the four-particles interaction vertex is likely to vanish in radial gauge since the four fields should be at the same time orthogonal to ξ and between themselves.…”

Section: Gravitational Correlations In a Physical Gaugementioning

confidence: 99%

Vacuum correlations at geodesic distance in quantum gravity

Modanese

1994

Riv. Nuovo Cim.

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The vacuum correlations of the gravitational field are highly non-trivial to be defined and computed, as soon as their arguments and indices do not belong to a background but become dynamical quantities. Their knowledge is essential however in order to understand some physical properties of quantum gravity, like virtual excitations and the possibility of a continuum limit for lattice theory. In this review the most recent perturbative and non-perturbative advances in this field are presented. (To appear on Riv. Nuovo Cim.)

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Yang-Mills Theories in Algebraic Non-Covariant Gauges

Abstract: Yang-Mills Theories in Algebraic Non-Covariant Gauges Downloaded from www.worldscientific.com by 44.224.250.200 on 12/13/20. Re-use and distribution is strictly not permitted, except for Open Access articles.

Cited by 150 publications

References 0 publications

Renormalized nonperturbative fermion model in covariant light-front dynamics

Renormalized nonperturbative fermion model in covariant light-front dynamics

Dynamics of effective gluons

Vacuum correlations at geodesic distance in quantum gravity

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