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Werner Nahm
Werner Nahm (; born 21 March 1949) is a German theoretical physicist, with the status of professor. He has made contributions to mathematical physics and fundamental theoretical physics. Life and work Werner Nahm attended Gymnasium Philippinum Weilburg. After high school he studied from 1966 at the Johann Wolfgang Goethe-Universität Frankfurt am Main and the Ludwig-Maximilians-Universität München, where he earned his diploma in physics in 1970. He received his doctorate in 1972 at the University of Bonn, his dissertation was titled ''Analytical solution of the statistical bootstrap model'', where he was then to 1975 as a post-doctoral student. From 1976 to 1982 he was a scientist at CERN. From 1982 he was a Heisenberg fellow again at the University of Bonn. In 1986 he became associate professor at the University of California, Davis. 1989 to 2002 he was a full professor at the University of Bonn. Since 2002 he is one of three senior professors at the School of Theoretic ...
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Hesse
Hesse (, , ) or Hessia (, ; german: Hessen ), officially the State of Hessen (german: links=no, Land Hessen), is a States of Germany, state in Germany. Its capital city is Wiesbaden, and the largest urban area is Frankfurt. Two other major historic cities are Darmstadt and Kassel. With an area of 21,114.73 square kilometers and a population of just over six million, it ranks seventh and fifth, respectively, among the sixteen German states. Frankfurt Rhine-Main, Germany's second-largest metropolitan area (after Rhine-Ruhr), is mainly located in Hesse. As a cultural region, Hesse also includes the area known as Rhenish Hesse (Rheinhessen) in the neighbouring state of Rhineland-Palatinate. Name The German name '':wikt:Hessen#German, Hessen'', like the names of other German regions (''Schwaben'' "Swabia", ''Franken'' "Franconia", ''Bayern'' "Bavaria", ''Sachsen'' "Saxony"), derives from the dative plural form of the name of the inhabitants or German tribes, eponymous tribe, the Hes ...
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CERN
The European Organization for Nuclear Research, known as CERN (; ; ), is an intergovernmental organization that operates the largest particle physics laboratory in the world. Established in 1954, it is based in a northwestern suburb of Geneva, on the France–Switzerland border. It comprises 23 member states, and Israel (admitted in 2013) is currently the only non-European country holding full membership. CERN is an official United Nations General Assembly observer. The acronym CERN is also used to refer to the laboratory; in 2019, it had 2,660 scientific, technical, and administrative staff members, and hosted about 12,400 users from institutions in more than 70 countries. In 2016, CERN generated 49 petabytes of data. CERN's main function is to provide the particle accelerators and other infrastructure needed for high-energy physics research — consequently, numerous experiments have been constructed at CERN through international collaborations. CERN is the site of the ...
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Joël Scherk
Joël Scherk (; 27 May 1946 – 16 May 1980) was a French theoretical physicist who studied string theory and supergravity. Work Scherk studied in Paris at the École Normale Supérieure (ENS). In 1969 he received his diploma (Thèse de troisième cycle) at University of Paris XI in Orsay with and Claude Bouchiat and in 1971 he completed his doctorate (Doctorat d'État) at the same time as his colleague André Neveu. In 1974, together with John H. Schwarz, Scherk realised that string theory was a theory of quantum gravity. In 1978, together with Eugène Cremmer and Bernard Julia, Scherk constructed the Lagrangian and supersymmetry transformations for supergravity in eleven dimensions, which is one of the foundations of M-theory. He died unexpectedly, and in tragic circumstances, months after the supergravity workshop at the State University of New York at Stony Brook that was held on 27–29 September 1979. The workshop proceedings were dedicated to his memory, with a statemen ...
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Bernard Julia
Bernard Julia (born 1952 in Paris) is a French theoretical physicist who has made contributions to the theory of supergravity. He graduated from Université Paris-Sud in 1978, and is directeur de recherche with the CNRS working at the École Normale Supérieure. In 1978, together with Eugène Cremmer and Joël Scherk, he constructed 11-dimensional supergravity. Shortly afterwards, Cremmer and Julia constructed the classical Lagrangian for four-dimensional ''N''=8 supergravity by dimensional reduction from the 11-dimensional theory. Julia also studied spontaneous symmetry breaking and the Higgs mechanism in supergravity Other work includes a study, with A. Zee, of particles called dyons that carry both electric and magnetic charges and many papers on string theory, M-theory, and dualities. In 1986, Julia was awarded the Prix Paul Langevin of the Société Française de Physique. See also * Primon gas In mathematical physics, the primon gas or free Riemann gas is a toy model ...
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Eugène Cremmer
Eugène Cremmer (7 February 1942, in Paris – 30 October 2019, in Paris) was a French theoretical physicist. He was directeur de recherche at the CNRS working at the École Normale Supérieure. Cremmer was a postdoc at CERN from 1971–72. In 1978, together with Bernard Julia and Joël Scherk, he co-developed 11 dimensional supergravity theoryDuff M ''The Theory Formerly Known as Strings'' Scientific American Feb 1998, 64–69. and proposed a mechanism of spontaneous compactification Compactification may refer to: * Compactification (mathematics), making a topological space compact * Compactification (physics), the "curling up" of extra dimensions in string theory See also * Compaction (other) Compaction may refer t ... in field theory.E Cremmer, J Scherk: Spontaneous compactification of space in an Einstein-Yang-Mills-Higgs model - Nuclear Physics B, 1976 References 1942 births 2019 deaths 20th-century French physicists 21st-century French physicists Fr ...
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Nahm Transform
In differential geometry and gauge theory, the Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the ''Nahm transform'' – an alternative to Ward's twistor construction of monopoles. The Nahm equations are formally analogous to the algebraic equations in the ADHM construction of instantons, where finite order matrices are replaced by differential operators. Deep study of the Nahm equations was carried out by Nigel Hitchin and Simon Donaldson. Conceptually, the equations arise in the process of infinite-dimensional hyperkähler reduction. They can also be viewed as a dimensional reduction of the anti-self-dual Yang-Mills equations . Among their many applications we can mention: Hitchin's construction of monopoles, where this approach is critical for establishing nonsingularity of monopole solutions; Donaldson's description of the moduli space of monopoles; and the existence of hyperkähler structure on coadjoint or ...
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Yang–Mills Theory
In mathematical physics, Yang–Mills theory is a gauge theory based on a special unitary group SU(''N''), or more generally any compact, reductive Lie algebra. Yang–Mills theory seeks to describe the behavior of elementary particles using these non-abelian Lie groups and is at the core of the unification of the electromagnetic force and weak forces (i.e. U(1) × SU(2)) as well as quantum chromodynamics, the theory of the strong force (based on SU(3)). Thus it forms the basis of our understanding of the Standard Model of particle physics. History and theoretical description In 1953, in a private correspondence, Wolfgang Pauli formulated a six-dimensional theory of Einstein's field equations of general relativity, extending the five-dimensional theory of Kaluza, Klein, Fock and others to a higher-dimensional internal space. However, there is no evidence that Pauli developed the Lagrangian of a gauge field or the quantization of it. Because Pauli found that his theory "lead ...
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String Theory
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than the string scale, a string looks just like an ordinary particle, with its mass, charge, and other properties determined by the vibrational state of the string. In string theory, one of the many vibrational states of the string corresponds to the graviton, a quantum mechanical particle that carries the gravitational force. Thus, string theory is a theory of quantum gravity. String theory is a broad and varied subject that attempts to address a number of deep questions of fundamental physics. String theory has contributed a number of advances to mathematical physics, which have been applied to a variety of problems in black hole physics, early universe cosmology, nuclear physics, and conde ...
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Conformal Field Theory
A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field theory has important applications to condensed matter physics, statistical mechanics, quantum statistical mechanics, and string theory. Statistical and condensed matter systems are indeed often conformally invariant at their thermodynamic or quantum critical points. Scale invariance vs conformal invariance In quantum field theory, scale invariance is a common and natural symmetry, because any fixed point of the renormalization group is by definition scale invariant. Conformal symmetry is stronger than scale invariance, and one needs additional assumptions to argue that it should appear in nature. The basic idea behind its plausibility is that ''local'' scale invariant theories have their ...
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Magnetic Monopole
In particle physics, a magnetic monopole is a hypothetical elementary particle that is an isolated magnet with only one magnetic pole (a north pole without a south pole or vice versa). A magnetic monopole would have a net north or south "magnetic charge". Modern interest in the concept stems from particle theories, notably the grand unified and superstring theories, which predict their existence. The known elementary particles that have electric charge are electric monopoles. Magnetism in bar magnets and electromagnets is not caused by magnetic monopoles, and indeed, there is no known experimental or observational evidence that magnetic monopoles exist. Some condensed matter systems contain effective (non-isolated) magnetic monopole quasi-particles, or contain phenomena that are mathematically analogous to magnetic monopoles. Historical background Early science and classical physics Many early scientists attributed the magnetism of lodestones to two different "magnetic fl ...
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Supersymmetry
In a supersymmetric theory the equations for force and the equations for matter are identical. In theoretical and mathematical physics, any theory with this property has the principle of supersymmetry (SUSY). Dozens of supersymmetric theories exist. Supersymmetry is a spacetime symmetry between two basic classes of particles: bosons, which have an integer-valued spin and follow Bose–Einstein statistics, and fermions, which have a half-integer-valued spin and follow Fermi–Dirac statistics. In supersymmetry, each particle from one class would have an associated particle in the other, known as its superpartner, the spin of which differs by a half-integer. For example, if the electron exists in a supersymmetric theory, then there would be a particle called a ''"selectron"'' (superpartner electron), a bosonic partner of the electron. In the simplest supersymmetry theories, with perfectly " unbroken" supersymmetry, each pair of superpartners would share the same mass and intern ...
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