Hagen Kleinert (born 15 June ) is Professor of Theoretical Physics at the Free University of He also discovered an alternative to Feynman’s time-sliced path integral construction which can be used to solve the path integral formulations. Buy Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Polymer Physics, and Financial Markets by Hagen Kleinert Paperback $ Buy Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, Hagen Kleinert is Professor of Physics at the Freie Universität Berlin, Germany.
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For his contributions to particle and solid state physics he was awarded the Max Born Prize with Medal. His contribution  to the memorial volume celebrating the th birthday of Lev Davidovich Landau earned him the Majorana Prize with Medal.
He kleeinert married to Dr. Annemarie Kleinert since with whom he has a son Michael Kleinert. He studied physics at the University of Hanover between andand at several American universities including Georgia Institute of Technologywhere he learned general relativity as a graduate student from George Gamowone of the fathers of the Big Bang theory.
Kleinert earned his doctorate in at the University of Colorado, Boulder.
Later, Kleinert was to collaborate with Feynman  in some of the latter’s last work. This so-called variational perturbation theory yields at present the most accurate theory of critical exponents  observable close to second-order phase transitionsas confirmed for superfluid helium in satellite experiments.
Within the quantum field theories of quarks he found the origin  of the algebra of Regge residues conjectured integgals N. For superconductors he predicted in a tricritical point in the phase diagram between type-I and type-II superconductors where the order of the transition changes from second to first.
The theory is based on a disorder field theory dual to the order field theory of L. Landau for phase transitions which Kleinert developed in the books on Gauge Fields in Condensed Matter.
In this theory, the statistical properties of fluctuating vortex or defect lines are described as elementary excitations with the help of fields, whose Feynman diagrams are the pictures of the lines.
At the summer school in Erice he proposed the existence of broken supersymmetry in atomic nuclei,  which has since been observed experimentally.
Homepage of Hagen Kleinert
His theory of collective quantum fields  and the Hadronization of Quark Theories  are prototypes for numerous developments in the theory of condensed paathnuclear and elementary particle physics. Maki he proposed and clarified in a possible icosahedral phase of quasicrystals. Inhe considered the existence of a novel Riemann particle. The experimental verification is still missing.
In he introduced  stiffness into the theory of stringswhich had formerly been characterized by tension alone.
This greatly improved the description of the physical properties of strings. The Russian physicist A. Polyakov simultaneously proposed a similar extension, and so the model is now known as the Polyakov-Kleinert string. Chervyakov, Kleinert developed an extension of the theory of distributions from linear spaces to semigroups by defining their products uniquely in the mathematical theory, only linear combinations are defined.
Hagen Kleinert – Wikipedia
As an alternative to string theoryKleinert used the complete analogy between non-Euclidean geometry and the geometry of crystals with defects to construct a model of the universe called intgerals World Crystal or Planck-Kleinert crystal. In this model, matter creates defects in hagsn which generate curvature. This curvature reproduces all the effects of general relativitybut leads to different physics than string theory at the scale of the Planck length. This theory inspired Italian artist Laura Pesce to create glass sculptures entitled “world crystal” see also lower left on this page.
Kleinert is a senior member of the faculty for the International Relativistic Astrophysics Ph.
Kleinert’s 60th birthday was honored by a Festschrift and a Festcolloquium with 65 contributions by international colleagues for instance Y. Devreeseand K. From Wikipedia, the free encyclopedia.
Max Born Prize Majorana Prize Free University of Berlin. George Gamow Richard Feynman.