Spontaneous symmetry breaking in scale invariant quantum electrodynamics

Leung, Chung Ngoc; Love, S.T.; Bardeen, William A.

doi:10.1016/0550-3213(86)90382-2

Cited by 279 publications

(157 citation statements)

References 13 publications

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“…The plot picks out a critical point β c = .2924(10) and the constrained linear fits to the data shown in the figure produced the amplitude ratio c − /c + = 1.89 (20). which compares well to the theoretical prediction c − /c + = 1.72 (2) .…”

Section: Controlling Systematic Dt Errors In the Algorithmsupporting

confidence: 63%

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Gauged Nambu–Jona-Lasinio studies of the triviality of quantum electrodynamics

2002

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By adding a small, irrelevant four fermi interaction to the action of noncompact lattice Quantum Electrodynamics (QED), the theory can be simulated with massless quarks in a vacuum free of lattice monopoles. Simulations directly in the chiral limit of massless quarks are done with high statistics on 12 4 , 16 4 and 20 4 lattices at a wide range of couplings with good control over finite size effects, systematic and statistical errors. The lattice theory possesses a second order chiral phase transition which we show is logarithmically trivial, with the same systematics as the Nambu-Jona Lasinio model. The irrelevance of the four fermi coupling is established numerically. Our fits have excellent numerical confidence levels. The widths of the scaling windows are examined in both the coupling constant and bare fermion mass directions in parameter space. For vanishing fermion mass we find a broad scaling window in coupling which is essential to the quality of our fits and conclusions. By adding a small bare fermion mass to the action we find that the width of the scaling window in the fermion mass direction is very narrow. Only when 1 a subdominant scaling term is added to the leading term of the equation of state are adequate fits to the data possible. The failure of past studies of lattice QED to produce equation of state fits with adequate confidence levels to seriously address the question of triviality is explained. The vacuum state of the lattice model is probed for topological excitations, such as lattice Monopoles and Dirac strings, and these objects are shown to be non-critical along the chiral transition line as long as the four fermi coupling is nonzero.Our results support Landau's contention that perturbative QED suffers from complete screening and would have a vanishing fine structure constant in the absence of a cutoff.

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Section: Controlling Systematic Dt Errors In the Algorithmsupporting

confidence: 63%

“…For example, this occurs if only "rainbow graphs" of gauged Nambu-Jona Lasinio models are summed [20]. Some of these exercises may be relevant to Technicolor model building.…”

Section: Controlling Systematic Dt Errors In the Algorithmmentioning

confidence: 99%

Gauged Nambu–Jona-Lasinio studies of the triviality of quantum electrodynamics

2002

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“…If, on the other hand, a few of them turned out to be relevant, it might be possible to truncate the list of operators to just the relevant ones. This is actually what happens in the quenched ladder approximation of QED [24] where four-fermion operators of the Nambu-Jona-Lasinio type [25] (NJL) turn out to become relevant operators and consequently are kept in the Lagrangian on an equal footing as the four dimensional ones.…”

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confidence: 99%

Low-energy QCD and ultraviolet renormalons

Peris¹,

Rafael²

1997

Nuclear Physics B

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We discuss the contribution of ultraviolet (UV) renormalons in QCD to two-point functions of quark current operators. This explicitly includes effects due to the exchange of one renormalon chain as well as two chains. It is shown that, when the external euclidean momentum of the two-point functions becomes smaller than the scale Λ L associated with the Landau singularity of the QCD one-loop running coupling constant, the positions of the UV renormalons in the Borel plane become true singularities in the integration range of the Borel transform. This introduces ambiguities in the evaluation of the corresponding two-point functions. The ambiguities associated with the leading UV renormalon singularity are of the same type as the contribution due to the inclusion of dimension d = 6 local operators in a low-energy effective Lagrangian valid at scales smaller than Λ L . We then discuss the inclusion of an infinite number of renormalon chains and argue that the previous ambiguity hints at a plausible approximation scheme for low-energy QCD, resulting in an effective Lagrangian similar to the one of the extended Nambu-Jona-Lasinio (ENJL) model of QCD at large N c .

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“…Our motivation is the work of Bardeen et al [35,36]. When they added a vector field to the Nambu-Jona-Lasinio model, a complementary procedure to our work, they got interesting results.…”

Section: Coupling With a Scalar Fieldmentioning

confidence: 89%

Renormalization group analysis of a Gürsey-model-inspired field theory. II

Lütfüoğlu

Taşkın

2007

Phys. Rev. D

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Recently a model, which is equivalent to the scalar form of Gürsey model, is shown to be a nontrivial field theoretical model when it is gauged with a SU (N ) field. In this paper we study another model that is equivalent to the vector form of the Gürsey model. We get a trivial theory when it is coupled with a scalar field. This result changes drastically when it is coupled with an additional SU (N ) field. We find a nontrivial field theoretical model under certain conditions.

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Spontaneous symmetry breaking in scale invariant quantum electrodynamics

Cited by 279 publications

References 13 publications

Gauged Nambu–Jona-Lasinio studies of the triviality of quantum electrodynamics

Gauged Nambu–Jona-Lasinio studies of the triviality of quantum electrodynamics

Low-energy QCD and ultraviolet renormalons

Renormalization group analysis of a Gürsey-model-inspired field theory. II

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