scholarly journals High energy behaviour for non-relativistic scattering by stationary external metrics and Yang-Mills potentials

1980 ◽  
Vol 4 (1) ◽  
pp. 27-36 ◽  
Author(s):  
R. Scharader
Keyword(s):  
High Energy ◽  
Yang Mills ◽  
Energy Behaviour ◽  
Relativistic Scattering

High-energy behaviour of ladder graphs with multiple loops

1971 ◽  
Vol 2 (22) ◽  
pp. 1146-1148 ◽  
Author(s):  
Z. Horváth ◽  
G. Pócsik
Keyword(s):  
High Energy ◽  
Energy Behaviour ◽  
Ladder Graphs

scholarly journals INTEGRABILITY IN QCD AND BEYOND

2004 ◽  
Vol 19 (28) ◽  
pp. 4715-4788 ◽  
Author(s):  
A. V. BELITSKY ◽  
V. M. BRAUN ◽  
A. S. GORSKY ◽  
G. P. KORCHEMSKY
Keyword(s):  
Integrable Model ◽  
High Energy ◽  
Completely Integrable Systems ◽  
General Phenomenon ◽  
Heisenberg Spin ◽  
Yang Mills ◽  
Heisenberg Spin Chain ◽  
Regge Behavior ◽  
Hidden Symmetry ◽  
Classical Integrable

Yang–Mills theories in four space–time dimensions possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians but is only revealed on the quantum level. It turns out that the effective Yang–Mills dynamics in several important limits is described by completely integrable systems that prove to be related to the celebrated Heisenberg spin chain and its generalizations. In this review we explain the general phenomenon of complete integrability and its realization in several different situations. As a prime example, we consider in some detail the scale dependence of composite (Wilson) operators in QCD and super-Yang–Mills (SYM) theories. High-energy (Regge) behavior of scattering amplitudes in QCD is also discussed and provides one with another realization of the same phenomenon that differs, however, from the first example in essential details. As the third example, we address the low-energy effective action in a [Formula: see text] SYM theory which, contrary to the previous two cases, corresponds to a classical integrable model. Finally, we include a short overview of recent attempts to use gauge/string duality in order to relate integrability of Yang–Mills dynamics with the hidden symmetry of a string theory on a curved background.

Diagrammatic derivation of the eikonal formula for high-energy scattering in Yang-Mills theory

1981 ◽  
Vol 23 (2) ◽  
pp. 534-552 ◽  
Author(s):  
Hung Cheng ◽  
John A. Dickinson ◽  
Kaare Olaussen
Keyword(s):  
High Energy ◽  
Yang Mills ◽  
Energy Scattering ◽  
High Energy Scattering

Remarks on the connections between the high-energy behaviour of resonances and unitarity

1970 ◽  
Vol 65 (1) ◽  
pp. 167-187 ◽  
Author(s):  
M. L. Paciello ◽  
B. Taglienti ◽  
L. Sertorio
Keyword(s):  
High Energy ◽  
Energy Behaviour
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