Review of Recent Work on Narrow Resonance Models

Sivers, Dennis; Yellin, Joel

doi:10.1103/revmodphys.43.125

Cited by 33 publications

(5 citation statements)

References 347 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, setting k = 1 in (4.23), we correctly reproduce the result for partial waves of the Veneziano amplitude [30]. The estimate (4.23) is only the leading piece in the logarithm of c j (t) for large s, t. There may well be subleading corrections in s, t and also corrections that are not exponentially large and hence do not influence the saddle point equations.…”

Section: The Support Of the Distributionsupporting

confidence: 66%

Strings from massive higher spins: the asymptotic uniqueness of the Veneziano amplitude

Caron-Huot¹,

Komargodski

Sever

et al. 2017

J. High Energ. Phys.

103

142

View full text Add to dashboard Cite

Abstract:We consider weakly coupled theories of massive higher-spin particles. This class of models includes, for instance, tree-level String Theory and Large-N Yang-Mills theory. The S-matrix in such theories is a meromorphic function obeying unitarity and crossing symmetry. We discuss the (unphysical) regime s, t ≫ 1, in which we expect the amplitude to be universal and exponentially large. We develop methods to study this regime and show that the amplitude necessarily coincides with the Veneziano amplitude there. In particular, this implies that the leading Regge trajectory, j(t), is asymptotically linear in Yang-Mills theory. Further, our analysis shows that any such theory of higherspin particles has stringy excitations and infinitely many asymptotically parallel subleading trajectories. More generally, we argue that, under some assumptions, any theory with at least one higher-spin particle must have strings.

show abstract

Section: The Support Of the Distributionsupporting

confidence: 66%

Strings from massive higher spins: the asymptotic uniqueness of the Veneziano amplitude

Caron-Huot¹,

Komargodski

Sever

et al. 2017

J. High Energ. Phys.

103

142

View full text Add to dashboard Cite

show abstract

“…The relation between the residues in the two channels, each being proportional tog, is reminiscent of our approximate solution (7.2.27). A fairly complete review of the properties of the Veneziano formula and FESR tests can be found in Sivers and Yellin (1971).…”

Section: The Veneziano Modelmentioning

confidence: 99%

An Introduction to Regge Theory and High Energy Physics

Collins¹,

1978

View full text Add to dashboard Cite

The scattering matrix 1.1 Introduction 1.2 The S-matrix 1.3 Bubble diagrams and scattering amplitudes 1.4 The analyticity properties of scattering amplitudes 1.5 The singularity structure 1.6 Crossing 1. 7 The 2-+ 2 amplitude 1.8 Experimental observables 1.9 The optical theorem 27 1.10 Single-variable dispersion relations 1.11 The Mandelstam representation 1.12 The singularities of Feynman integrals 1.13 Potential scattering 1.14 The eikonal expansion 2 The complex angular-momentum plane 2.1 Introduction 2.2 Partial-wave amplitudes 2.3 The Froissart-Gribov projection 2.4 The Froissart bound 2.5 Signature 2.6 Singularities of partial-wave amplitudes and dispersion relations 2.7 Analytic continuation in angular momentum 2.8 Regge poles 2.9 The Mandelstam-Sommerfeld-Watson transform 2.10 TheP. D. B. COLLINSthe interaction commences, and the final state a long time afterwards (i.e. long compared with the duration of the interaction, typically~ 10-22 s). What goes on during the interaction is clearly not directly observable. It is thus certainly very useful, and some (see for example Chew ( 1962)) would claim more in accord with the philosophy of quantum mechanics, to try to develop a theory for the S-matrix directly. Others still feel that one should start from the interactions of quantized fields, and that our goal should be to obtain for strong interactions something akin to quantum electrodynamics (see for example Bjorken and Drell (1965) for a review of this subject). We are still so far from a complete theory that such disputes seem premature. Here we shall adopt mainly an S-matrix viewpoint, chiefly because in working with S-matrix elements one is concerned with (almost) directly measurable quantities, and so the S-matrix provides an excellent vantage point from which to survey the confrontation of theoretical speculation with experimental fact.In the following sections we introduce the basic ideas of S-matrix theory, the unitarity equations and the analyticity properties of scattering amplitudes. We show how these analyticity assumptions allow one to write dispersion relations for the scattering amplitudes, and discuss the ambiguities which such dispersion relations frequently possess because they involve divergent integrals. We also briefly consider Feynman perturbation field theory and Yukawa potentialscattering models, and show how they incorporate many of these features. This will set the stage for the introduction of Regge theory in the next chapter.These unitarity equations greatly restrict the form of the scattering amplitude, as we shall see. Single-variable dispersion relationsAccording to our discussion in section 1.5 the only singularities which appear on the physical sheet are believed to be the poles corresponding to stable particles, and the threshold branch points. Thus, if we consider equal-mass scattering, and if we hold t fixed at some small, real, negative value (see fig. 1.5) in the s plane we find the singularities shown in fig. 1.7. On the right-hand side, for Re{s} > 0, we have the s-cha...

show abstract

“…A model with adjustable couplings may be obtained by taking combinations of the B 4 's with different parameters, i.e. trajectory intercept α 0 , slope α and the overall normalization [30,31].…”

Section: Dual Amplitude Modelmentioning

confidence: 99%

Double-Regge exchange limit for theγp→K+K−preaction

et al. 2015

View full text Add to dashboard Cite

We apply the generalized Veneziano model (B, model) in the double-Regge exchange limit to the YP -* K+K~p reaction. Four different cases defined by the possible combinations of the signature factors of leading Regge exchanges [(K*, a2/ f 2), (Kfp/co), (.K*2,a 2/ f 2), and (K*2,p/co)] have been simulated through the Monte Carlo method. Suitable event candidates for the double-Regge exchange high-energy limit were selected employing Van Hove plots as a better alternative to kinematical cuts in the K+ K~ p Dalitz plot. In this way we predict and analyze the double-Regge contribution to the K+K~p Dalitz plot, which constitutes one of the major backgrounds in the search for strangeonia, hybrids and exotics using YP -* K+K~p reaction. We expect that data currently under analysis, and those to come in the future, will allow verification of the double-Regge behavior and a better assessment of this component of the amplitude.

show abstract

Review of Recent Work on Narrow Resonance Models

Cited by 33 publications

References 347 publications

Strings from massive higher spins: the asymptotic uniqueness of the Veneziano amplitude

Strings from massive higher spins: the asymptotic uniqueness of the Veneziano amplitude

An Introduction to Regge Theory and High Energy Physics

Double-Regge exchange limit for theγp→K+K−preaction

Contact Info

Product

Resources

About