Abstract
From the Bjorken scaling of the nucleon structure functions, we learn that the hadronic constituents probed at small distance or at high energy behave as if they were almost noninteracting or ‘free’. We are confronted with an apparent paradox, since in quantum field theory virtual particles exchanged between partons can have arbitrarily high momenta, quantum fluctuations associated with them naturally occur at short distances. Why do these fluctuations turn themselves off, and the partons behave as if they were free at high energy, whereas at low energy they are strongly bound? How can a model of noninteracting quarks be reconciled with a force that is extremely strong in other circumstances?
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Hatfield, B., Quantum Field Theory of Point Particles and Strings. Addison-Wesley, Redwood, CA 1992
Itzykson, C. and Zuber, J. B., Quantum Field Theory. McGraw-Hill, New York 1980
Kaku, M., Quantum Field Theory. Oxford U. Press, New York 1993
Ramond, P., Field theory: A Modern Primer ( Second edition ). Addison-Wesley, Redwood, CA 1989
Quantization of Yang—Mills fields
Faddeev, L. D. and Slavnov, A. A., Gauge Fields: Introduction to Quantum theory. Benjamin, Reading, MA 1980
Hooft, G., Under the Spell of the Gauge Principle. World Scientific, Singapore 1994
Vacuum polarization 111’(q), vertex function I’’(p, p), fermionic self-energy E(p)
De Wit, B. and Smith, J., Field Theory in Particle Physics (Vol. I ). North-Holland, Amsterdam 1986
Peskin, M. E. and Schroeder, D. V., An Introduction to Quantum Field Theory. Addison-Wesley, Reading, MA 1995
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Feng, Y. J. and Lam, C. S., Phys. Rev. D53 (1996) 2115
Gross, F., Relativistic Quantum Mechanics and Field Theory. Wiley-Interscience, New York 1993
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Field, R. D., Applications of Perturbative QCD. Addison-Wesley, Redwood, CA 1989
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© 1998 Springer-Verlag Berlin Heidelberg
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Ho-Kim, Q., Pham, XY. (1998). Asymptotic Freedom in QCD. In: Elementary Particles and Their Interactions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03712-6_15
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DOI: https://doi.org/10.1007/978-3-662-03712-6_15
Publisher Name: Springer, Berlin, Heidelberg
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