Abstract
The high energy behavior (in the Regge limit) of nonabelian gauge theories is reviewed. After a general remark concerning the question to what extent the Regge limit can be approached within perturbation theory, we first review the reggeization of elementary particles within nonabelian gauge theories. Then the derivation of a unitary high energy description of a massive (= spontaneously broken) nonabelian gauge model is described, which results in a complete reggeon calculus. There is strong evidence that the zero mass limit of this reggeon calculus exists, thus giving rise to the hope that the Regge behavior in pure Yang-Mills theories (QCD) can be reached in this way. In the final part of these lectures two possible strategies for solving this reggeon calculus (both for the massive and the massless case) are outlined. One of them leads to a geometrical picture in which the distribution of the wee partons obeys a diffusion law. The other one makes contact with reggeon field theory and predicts that QCD in the high energy limit is decribed by critical reggeon field theory.
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References and Footnotes
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It should be emphasized that this argument is not strictly based on t he reggeon calculus which has been derived in the previous section: there it was characterized as the go limit of the unitary S-matrix, and this approximation does not include renormalization of the parameters g, M2 etc. In order to use the concept of asymptotic freedom of g2(k2) for large values of transverse momentum, as it is done in Ref. 43, it is necessary to go beyond this approximation and include more nonleading terms. Whether this can be done in a consistent way, i. e. without destroying the subtle constraints of unitarity order by order in g2, remains to be seen. It may also be that some of these new contributions are nonperturbative, i. e. they cannot be expanded in powers of g2 at all.
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© 1980 Plenum Press, New York
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Bartels, J. (1980). High Energy Behavior of Nonabelian Gauge Theories. In: Rühl, W. (eds) Field Theoretical Methods in Particle Physics. NATO Advanced Study Institutes Series, vol 55. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3722-5_18
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DOI: https://doi.org/10.1007/978-1-4684-3722-5_18
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