Both side of the sum rules are compared interactively in simulation section. Here we see that the nontrivial spatial structures required by conformal invariance arise naturally from the form of. Jan 06, 2020 using this setup, we work out the spectra of excited baryons and compare them with the experimental data. If you do not see its contents the file may be temporarily unavailable at the journal. Why is it clear that it has a representation like the above, without a cut contribution at negative s. Leading regge trajectory bosons in the pure spinor formalism. Its a shame that its hard to find introductions to regge trajectories on the net. Numerical regge pole analysis of resonance structures in elastic. The nonrelativistic theory was developed by tullio regge in 1959. For light quarks the regge trajectories of mesons are essentially linear. In the process, we develop the conformal partial wave expansion in mellin space, elucidating the analytic structure of the partial amplitudes. Ieva neimane, kareem hashim, lelia lucia pop, zane stalte cah dronten university of applied sciences international rural innovations and development dronten 2011. Downward trajectory of documented cases within a 14day period downward trajectory of positive tests as a percent of total tests within a 14day period flat or increasing volume of tests.
To this end we study closed spinning string configurations in two supergravity backgrounds. Fixedpole effects on exchangedegenerate regge residues and. A wellknown nonperturbative approach to hadron reactions born term 8. The glueball regge trajectory from the stringinspired theory. A model for a regge trajectory compatible with the threshold behavior required by unitarity and asymptotics in agreement with analyticity constraints is given in explicit form. How exactly does linear regge trajectories imply stability. Ponzano developed a quantum version of regge calculus in three spacetime dimensions now known as the ponzano regge model. An introduction to regge theory and high energy physics. Reggeplusresonance predictions for kaon photoproduction from the neutron p.
Regge trajectories appear as poles of the scattering amplitude or in the related s \displaystyle. The calculus was introduced by the italian theoretician tullio regge in 1961. Large angle scattering and linear regge trajectory large angle scattering and linear regge trajectory. These backgrounds represent two embeddings of n1 sym, in the large rank. The glueball regge trajectory from the stringinspired. In particular, we derive a formula of the nucleon regge trajectory assuming that the excited nucleons lying the trajectory are characterized by the excitation of a single open string attached on the baryon vertex. Contributions of the handbag type, related to generalized parton distributions in the nucleon, are therefore difficult to extract from this particular process. We attempt to obtain realistic glueball regge trajectories from the gaugestring correspondence.
On the brst approach to the description of a regge trajectory. In quantum physics, regge theory is the study of the analytic properties of scattering as a. A brief description of the formalism is given in the formalisms section. Meson regge trajectory of the n 1, s 1 third triplet states. We need to sum up all meson exchanges of various j. Fixedpole effects on exchangedegenerate regge residues. Feb 10, 2008 its a shame that its hard to find introductions to regge trajectories on the net. The massive endpoints induce nonlinearities for the regge trajectory. For resonance states lying on a given regge trajectory, the twobody production mechanism as a function of the excitation of the recurrence state is discussed. This will give you a one page summary on the features of reggae and basic information on bob marley.
This is done by exploring the analogy between mellin amplitudes in adscft and smatrix elements. A pole singularity of a scattering amplitude in the complex angular momentum plane. Derivation of regge trajectories from the conservation of angular. The expression is known as the regge trajectory function, and when it is an integer, the particles form an actual bound state with this angular momentum. Numerical regge pole analysis of resonance structures in. On the dynamical determination of the regge pole parameters cheng, sharp 1960. Consequently it is desirable that we take the same bag parameters as those of the mit bag model.
Reggeplusresonance predictions for kaon photoproduction. As i will discuss, the resulting lightfront eigensolutions provide a unified regge spectroscopy of meson, baryon, and tetraquarks, including remarkable supersymmetric relations between the masses of mesons and baryons and a universal regge slope. Regge theory was basically a phenomenological theory of hadronhadron scatteri. We have 14 free reggae vector logos, logo templates and icons. Regge trajectory article about regge trajectory by the. With a centrifugal potential, the halfplane is tessellated by crescents. Ponadto rmfon to muzyczne newsy, biografie, dyskografie, galerie. A regge trajectory j k2 is also sometimes expressed as j e, or more commonly in terms of the mandelstam variable tas j t. Of course, if we view all the states on a regge trajectory as one representation, it seems natural to consider them as excitations of some fundamental object the string.
We extract the x dependence of the nonsinglet ud distribution function in the nucleon from the lowest few moments calculated on the lattice, using an extrapolation formula which ensures the correct behavior in the chiral and heavy quark limits. Van cauteren department of subatomic and radiation physics, ghent university, proeftuinstraat 86, b9000 gent, belgium. Uppsala university, disciplinary domain of science and technology, physics, department of physics and astronomy, theoretical physics. Properties of regge trajectories alfred tang and john w. It is used instead of sor u because regge poles generally arise in this channel. In general relativity, regge calculus is a formalism for producing simplicial approximations of spacetimes that are solutions to the einstein field equation. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. With sun chanpaton factors, the sum over planar open string multiloop diagrams describes the t hooft limit n\to\infty. Regge calculus was the first discrete gauge theory suitable for numerical simulation, and an early relative of lattice gauge theory. Soft pomeron donnachie, landshoff 92 j 2 evidence from lattice qcd that there are glueballs on this trajectory with. We discuss the implications for the quark mass dependence of meson masses lying on the jpc1 regge.
Regge plusresonance predictions for kaon photoproduction from the neutron p. Using this setup, we work out the spectra of excited baryons and compare them with the experimental data. We generalize regge theory to correlation functions in conformal field theories. Iii, we consider the scattering of massless waves scalar, electromagnetic and gravitational by a. Total cross sections for elastic scattering at high energy. The regge regime requires relativistic motion of the string, that is, x 1. Early chewfrautschi plots show that meson and baryon regge trajectories are approx imately linear and nonintersecting. In order to apply this mass formula to the case of mesons, we note that the pion would be the first lowmass meson on a regge trajectory, such that the mass.
Northholland publishing company the production of regge recurrences c. These backgrounds represent two embeddings of n1 sym, in the large rank limit, in string theory. Regge trajectories revisited in the gaugestring correspondence. In string theory, the trajectories are linear when they are longlived, but the trajectory function doesnt look as fundamental today. Forwardangle k photoproduction in a reggeplusresonance. Properties of regge trajectories cern document server. Actually ive been taught about it during by graduate study, but it was already outdated at that time.
Regge trajectory article about regge trajectory by the free. A single particle exchange in the tchannel of spin j behaves as which violates unitarity for large j. Fine structure constant in the slope of regge trajectories arxiv. Regge trajectories of the baryons calculated by our model are shown by the solid lines and the corrected trajectories by the potential term eq. Presentation mode open print download current view. Acknowledgement it is a pleasure to thank those who made this case study possible municipality of wierden especially jan ten tije. Van cauteren department of physics and astronomy, ghent university, proeftuinstraat 86, b9000 gent. Dec 18, 2012 we generalize regge theory to correlation functions in conformal field theories. An introduction to regge theory and high energy physics cambridge monographs on mathematical physics collins, p. The applicability of the brst approach to the description of a single regge trajectory without its daughter trajectories is discussed. The free field theory for regge trajectory is described in the framework of the brst quantization method. Klebanovstrassler ks and maldacenanunez mn which are dual to confining gauge theories. Bound states are associated with real angular momenta while resonances are characterized by complex angular momenta.
Aug 01, 2001 we extract the x dependence of the nonsinglet ud distribution function in the nucleon from the lowest few moments calculated on the lattice, using an extrapolation formula which ensures the correct behavior in the chiral and heavy quark limits. Noneuclidean tessellations and their relation to regge. Parton distributions from lattice qcd unt digital library. Regge theory article about regge theory by the free dictionary. The model is confronted in the timelike region with widths and masses of the mesonic resonances and, in the spacelike region. The path followed by a regge pole in the complex angular momentum plane as the centerofmass energy is varied. Thus the spin strong gravity connection that produces the correct proton radius and the correct weak angle, also gives a reason why quarks do not exist outside of particles and can produce the observed regge trajectory like behavior. Indeed, a very elementary treatment of a classical spinning open bosonic string in. Norbury physics department, university of wisconsin milwaukee, p. You might try a post on the subject comparing them to koides mass formula on my blog because i think theres a reasonable explanation, and some links to other sources of information on them. Meson regge trajectory of the n 1, s 0 singlet states. Regge theory article about regge theory by the free. We study the properties of the leading regge trajectory in open string theory including the open string planar oneloop corrections. Elastic scattering in qcd dominated by exchange of regge trajectory with vacuum quantum numbers.
The regge trajectories have two free parameters, the intercept. The largest j values at given s formed the socalled leading trajectory. Dispersive calculation of complex regge trajectories for the lightest. The asymptotic form applies when z \displaystyle z is much greater than one, which is not a physical limit in nonrelativistic scattering. Exchanging reggeons instead of particles leads to scattering amplitudes of. The regge trajectory function appears in the exponent, so you have to take a log to extract it. Reggae free vectors, photos and psd downloads freepik. Michael cern, geneva received 19 june 1973 abstract. In fact, this idea led to the socalleddual amplitude models, since an automatic consequence of this ansatz was the appearance of a new symmetry, namely the duality of the amplitudes. It corresponds to an exchange in the tchannel by a state of noninteger spin. Nov 20, 2003 we attempt to obtain realistic glueball regge trajectories from the gaugestring correspondence. The physical spectrum includes daugther trajectories along with parent one. Introduction to string theory universiteit utrecht.
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