The curvature of the meson regge trajectories can be taken as a guide in constructing models. It is shown in the narrowresonance approximation that in order to satisfy the finite energy sum rules fesr, all regge trajectories except for. Regge graviton trajectory propagator post kinematics r marks the deviation of the pomeron spin from 2 nb. Scalar mesons in a duality schelne based on the quarkorbital. For massive quarks our trajectories qualitatively capture the nonlinearity detected in lattice calculations. With sun chanpaton factors, the sum over planar open string multiloop diagrams describes the t hooft limit n\to\infty. Pade ii, mpfun and quadpack packages, validation suites. First is a generalintroduction to scattering theory, where we define most of the relevant concepts and termswhich we will use later, and introduce the physical motivation for studying them. The model is confronted in the timelike region with widths and masses of the mesonic resonances and, in the spacelike region. These backgrounds represent two embeddings of n1 sym, in the large rank limit, in string theory. After completion, use the files in the directory output to plot the results. Early chewfrautschi plots show that meson and baryon regge trajectories are approx imately linear and nonintersecting.
However gribov introduced by the end of the 1960s the reggeon field theory. Here we see that the nontrivial spatial structures required by conformal invariance arise naturally from the form of the polarization tensors in the vertex operators. The path followed by a regge pole in the complex angular momentum plane as the centerofmass energy is varied. Is it when reggeons pomerons interact among themselves.
Pdf it is shown that the angular momentum j of many astronomical objects. Feb 10, 2008 its a shame that its hard to find introductions to regge trajectories on the net. Feynman diagram models of daughter regge trajectories. Regge calculus was the first discrete gauge theory suitable for numerical simulation, and an early relative of lattice gauge theory. Just upload files you want to join together, reorder them with draganddrop if you need and click join files button to merge the documents. If you have a disability and are having trouble accessing information on this website or need materials in an alternate format, contact web. Both the simple model with bare propagators and a generalized model that includes propagator selfenergy insertions are considered. Pdf merge combinejoin pdf files online for free soda pdf. We apply the new formalism to the case of four point correlation functions between protected scalar operators in n4 super yang mills, in cases where the regge limit is controlled by the leading twist operators associated to the pomerongraviton regge trajectory. Mar 31, 2019 archmodels volume gives you professional, highly detailed objects for. Regge trajectories revisited in the gaugestring correspondence.
A method of calculating regge trajectories is presented and tested. A method of calculating regge trajectories caltechthesis. In quantum physics, regge theory is the study of the analytic properties of scattering as a. Regge trajectory article about regge trajectory by the free. Properties of regge trajectories alfred tang and john w. Regge trajectory for states with intrinsic spin s 12 and s 32, and for n. Kaidalov institute of theoretical and experimental physics, b. During 1961, increasingly wide applications of this idea were suggested in the realm of strong interactions. What links here related changes upload file special pages permanent link page. Merge pdf files combine pdfs in the order you want with the easiest pdf merger available. Regge poles are considered fromboth tchannel and schannel points of view.
Dec 18, 2012 we generalize regge theory to correlation functions in conformal field theories. We then compute the threepoint functions for protected or unprotected scalar operators with higher spin operators on the leading regge trajectory. Regge trajectories appear as poles of the scattering amplitude or in the related s. I found the answer to my question in this publication. Quarkorbital regge trajectory taketoshi ino department of physlcs, shimane university, matsue japan received september 8, 1 979 decay properties of the scalar mesons are studied in a duality scheme based on the quarkorbital regge trajectory. The van hove model of regge poles is used to study daughter trajectories of bosons in scalar mesonscalar meson scattering and of fermions in backward pionnucleon scattering. For both the water molecule and the neutron, the experimental value of the electric dipole moment strength d e. In string theory, the trajectories are linear when they are longlived, but the trajectory function doesnt look as fundamental today. We study the properties of the leading regge trajectory in open string theory including the open string planar oneloop corrections. Indeed, a very elementary treatment of a classical spinning open bosonic string in.
A regge trajectory j k2 is also sometimes expressed as j e, or more commonly in terms of the mandelstam variable tas j t. We study several aspects of high energy scattering using the adscft correspondence. The massive endpoints induce nonlinearities for the regge trajectory. Why is it clear that it has a representation like the above, without a cut contribution at negative s. Rising regge trajectories and finite energy sum rules progress. Regge theory thus serves as a unifying concept drawing together many different features of highenergy physics. We discuss the implications for the quark mass dependence of meson masses lying on the jpc1 regge trajectory. 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. When is it mandatory to introduce fields in the theory of complex angular momenta regge theory.
It corresponds to an exchange in the tchannel by a state of noninteger spin. Soda pdf merge tool allows you to combine two or more documents into a single pdf file for free. Regge residwes predictecl from a umiqwely determllled. Ponzano developed a quantum version of regge calculus in three spacetime dimensions now known as the ponzano regge model. If at goes negative at large negative t, then there are no subtraction difficulties and no unwanted singularities.
Sisters were subsequently found in the neveuschwarz sectorof the nsr superstring, 17 and related phenomenological implications were discussed. 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. To this end we study closed spinning string configurations in two supergravity backgrounds. The glueball regge trajectory from the stringinspired. Regge trajectories in the developed model are nonlinear for small masses and the.
The following are included in the distribution file. Regge theory article about regge theory by the free dictionary. How exactly does linear regge trajectories imply stability. 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. To change the order of your pdfs, drag and drop the files as you want. The method is based on dispersion relations and on chengs representation for the smatrix in terms of the regge trajectories. Pdf the regge law for heavenly bodies researchgate. An introduction to regge theory and high energy physics. Rearrange individual pages or entire files in the desired order. Indeed, the gluon regge trajectory gt is infraredsingular, and its exponentiation along with the energy logarithms, which is a manifestation of reggeization, is readily consistent with the exponentiation of soft singularities through the relevant renormalization group equation. Electric dipole moments and polarizability in the quark. Numerical regge pole analysis of resonance structures in elastic.
It is a vast field of research, encompassing perturbative and non. We point out the connection of this work to previous studies of the physical states in dual models. The special case of 4d stringlike theory proposed early is investigated. In particular, the effects of mac dowell symmetry and the conspiracy constraints are derived for fermion regge trajectory and residue functions. The regge regime requires relativistic motion of the string, that is, x 1. We begin with concise theoretical overviews of a few relevant topics. Regge trajectories in nature suggests the existence of a cer.
The regge limit of gaugetheory amplitudes and cross sections is a powerful theory tool for the study of fundamental interactions. The pomeron trajectory is dual to the gravitons regge trajectory. Actually ive been taught about it during by graduate study, but it was already outdated at that time. We apply the new formalism to the case of four point correlation functions. Norbury physics department, university of wisconsin milwaukee, p.
Nondynamical constraints on the scattering amplitude are derived and applied to the regge pole model. These include the existence of exact multistringsolutions of the lowenergy supergravity superyangmills equations ofmotion and a bogomolnyi bound for the energy per unit length which is saturated by these solutions. A pole singularity of a scattering amplitude in the complex angular momentum plane. In the process, we develop the conformal partial wave expansion in mellin space, elucidating the analytic structure of the partial amplitudes. Resonance regge trajectories are identified and their contributions. Parton distributions from lattice qcd unt digital library. Introduction ever since the early days of dual resonance models, people have attempted to ascribe the excitation spectrum of those models to a vibrating relativistic string. This is done by exploring the analogy between mellin amplitudes in adscft and smatrix elements. The regge boundary conditions can thus replace those suggested by the feynman diagrams. A study of mac dowell symmetry, conspiracy, and fermion regge. Pdf joiner allows you to merge multiple pdf documents and images into a single pdf file, free of charge. In the future please link to abstract pages rather than pdf files, e. Constant in regge trajectory physics stack exchange. For light quarks the regge trajectories of mesons are essentially linear.
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