George Savvidy
Research
 Vacuum polarization by the intense gauge fields [18].Extension of the Heisenberg and Euler result in QED to nonAbelian YangMills theories and prediction of the gauge boson condensation [2], essentially nonAbelian infrared phenomena. Exact solution of renormalization group equations for the effective Lagrangian in Abelian and nonAbelian gauge theories in terms of beta function and corresponding expression for the intensity of the nonAbelian gauge boson condensate.
 Nonintegrability and dynamical stochastisity of the nonAbelian fields [9,1416,1821,28,29]. Nonlinear plane waves in pure YangMills theory and notion of YM classical and quantum mechanics. Application of the ergodic theory to the problem of integrability of classical YangMills equations.
 Quantization of relativistic membrane in the lightcone gauge [31,32], analogy with YangMills classical mechanics[3436, 39]. Notion of selfdual membrane[33].
 QCD string dynamics [4044]. Feynman integral over the paths was extended to an integral over the surfaces, so that they coincide at long time scale. The action of the theory is linear and is proportional to the linear size of the surface. The string tension is generated dynamically by quantum fluctuations.
 Statistical physics [45,48]. A class of Ising spin systems was introduced, the partition function of which generates random surfaces with linear action. Geometrical nature of the system allows to perform the duality transformation and to find out a new class of gauge spin systems [49,50,51]. They are in the same relation as 3D Ising ferromagnet and 3Dgauge spin systems.
 Astrophysics. Nbody problem [22,23]. By means of the Maupertuis principle reduction of the Nbody problem to the study of the behavior of the geodesic flow on a Reimannian manifold. Negativity of the corresponding curvature and exponential instability of the geodesic trajectories. Computation of the relaxation time for the stellar systems like galaxies and globular clusters. That time is substantially smaller than binary, Chandrasekhar relaxation time.
 Computational mathematics [26,27,30,47]. Application of KolmogorovAnosovSinai Ksystems to the generation of pseudorandom numbers for the MonteKarlo simulations of physical systems and it's concrete realization. The MIXMAX generator: i) it has the best discrepancy, ii) can be used for MonteCarlo simulations in very highdimensional spaces, by increasing the dimension of the Ksystem which can be taken equal or greater than the dimensionality of these spaces, iii) it is a fast generator, in the current implementation the computational complexity is of order O(N).
Talks:
 "Generalisation of YangMills Theory" George Savvidy (Conference on 60 Years of YangMills Gauge Field Theories, Singapore, May,2015)
 "Asymptotic Freedom of nonAbelian Tensor Gluons. Proton Structure and Tensor Gluons" George Savvidy (HSQCD 2014, Gatchina, Russia, June 2014.))
 "The Gonihedric Paradigm. Extension of the Ising Model" George Savvidy (SigmaPhi 2014, Rhodos, Greece, July 2014.))
 "Stringlike Solutions and Their Applications" Ludwig Faddeev, (Athens, October 2001))
 "Mass in QuantumYangMills Theory (comment on a Clay millenium problem)" Ludwig Faddeev (April 2002.))
 Ludwig Faddeev, "NOTES ON DIVERGENCES AND DIMENSIONAL TRANSMUTATION IN YANG–MILLS THEORY" (Athens, March 2006.))
 "Universal Invariant Renormalization" Andrei Slavnov, (Athens, November 2002)
 "DGLAP and BFKL evolution equations in N=4 SUYM" Lev Lipatov (Athens, March 2003)
 "NonAbelian Tensor Gauges Fields: Generalization of YangMill Theory" George Savvidy (Corfu, Greece, 2005)
 Gonihedric Spin System" George Savvidy (Corfu, Greece, 1999)
 Talk: University of Florida (USA)26 October 2003
 Lectures on Path Integral: University of Dortmund (1994)

"Pseudo Random Number Generators based on KolmogorovAnosov Ksystems"
George Savvidy
(SFT Group Meeting, CERN, Switzerland, March 2014)  https://indico.cern.ch/event/308953/