Author
Curtis Gove Callan
Other affiliations: Princeton University
Bio: Curtis Gove Callan is an academic researcher from Harvard University. The author has contributed to research in topics: Quark & Yang–Mills theory. The author has an hindex of 7, co-authored 8 publications receiving 1951 citations. Previous affiliations of Curtis Gove Callan include Princeton University.
Topics: Quark, Yang–Mills theory, Scattering amplitude, Bound state, Hadron
Papers
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TL;DR: In this paper, the general method for constructing invariant phenomenological Lagrangians is described, where the fields are assumed to transform according to (nonlinear) realizations of an internal symmetry group, given in standard form.
Abstract: The general method for constructing invariant phenomenological Lagrangians is described. The fields are assumed to transform according to (nonlinear) realizations of an internal symmetry group, given in standard form. The construction proceeds through the introduction of covariant derivatives, which are standard forms for the field gradients. The case of gauge fields is also discussed.
1,284 citations
TL;DR: In this article, the asymptotic behavior of electroproduction cross sections is shown to contain information about the constitution of the electric current, and it is shown that the cross sections are a good indicator of the strength of electric currents.
Abstract: The asymptotic behavior of electroproduction cross sections is shown to contain information about the constitution of the electric current.
519 citations
TL;DR: In this article, the structure of two-dimensional Yang-Mills theory as a model of quark confinement is analyzed and a dynamical basis for the Okubo-Zweig-Iizuka rule is suggested.
Abstract: We analyze the structure of two-dimensional Yang-Mills theory as a model of quark confinement. 't Hooft's solution, in the large-$N$ limit, is extended to investigate the consistency and the properties of the model. We construct the hadronic color singlet bound-state scattering amplitudes. We show that they are unitary, that colored states cannot be produced, and that all long-range interactions are absent. Current amplitudes are constructed, and we show that the theory is asymptotically free and the quark mass sets the scale of mass corrections. The properties of bound states of heavy quarks are discussed, and a dynamical basis for the Okubo-Zweig-Iizuka rule is suggested. We show how confinement can occur with an infrared prescription that leads to finite-mass quarks which decouple from physical states and discuss the dependence of gauge-variant amplitudes on the cutoff procedure. Higher-order effects in $\frac{1}{N}$ are shown not to change the qualitative features of the model.
171 citations
TL;DR: In this article, a solvable 2-dimensional field theory specified by a closed equal-time algebra generated by commutation of the components of the electric current and the energy-momentum tensor was studied.
Abstract: In this paper we study a solvable 2-dimensional field theory specified by a closed equal-time algebra generated by commutation of the components of the electric current and the energy-momentum tensor ${\ensuremath{\theta}}_{\ensuremath{\mu}\ensuremath{
u}}$. As in the Thirring model, from which this model is abstracted, the physical content of the theory turns out to be trivial. The results are nevertheless of interest (a) because they allow one to readily understand why the Thirring model is solvable and why it has trivial physical consequences and (b) because they provide an example of a case where the requirement of a positive energy spectrum places important, and explicit, constraints on a theory written in terms of currents. We emphasize that although the present model was abstracted from the Thirring model we do not maintain that the resulting theory, or its solution as given here, is the same as the Thirring model, if by this term one means the conventional field-theoretic model.
29 citations
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TL;DR: In this article, the low energy representation of several Green's functions and form factors and of the na scattering amplitude are calculated in terms of a few constants, which may be identified with the coupling constants of a unique effective low energy Lagrangian.
3,277 citations
TL;DR: In this paper, the anomalous Ward identities are shown to satisfy consistency or integrability relations, which restrict their possible form, for the case of SU(3) × SU(1) and for SU(2) + SU (3) + 2.
2,450 citations
TL;DR: In this paper, the consequences of an effective lagrangian for quarks, gluons and goldstone bosons in the region between the chiral symmetry breaking and confinement scales were studied.
1,582 citations
TL;DR: In this article, the strong interactions of low-lying meson resonances (spin ⩽ 1) with the octet of pseudoscalar mesons ( π, K, η ) are considered to lowest order in the derivative expansion of chiral SU(3).
1,239 citations
Book•
31 Jul 1992TL;DR: In this paper, the S = 1 interaction was introduced and the Kaon mixing and CP violation was investigated in the context of the large N expansion of the standard QCD model.
Abstract: Preface Inputs to the standard model Interactions of the standard model Symmetries and anomalies Introduction to effective Lagrangians Leptons Very low energy QCD - Pions and photons Introducing kaons and etas Kaons and the S=1 interaction Kaon mixing and CP violation The large N expansion Phenomenological models Baryon properties Hadron spectroscopy Weak interactions of heavy quarks The Higgs boson The electroweak gauge bosons Appendices References Index.
1,058 citations