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Jackiw–Teitelboim Gravity
The ''R'' = ''T'' model, also known as Jackiw–Teitelboim gravity (named after Roman Jackiw and Claudio Teitelboim), is a theory of gravity with dilaton coupling in one spatial and one time dimension. It should not be confused with the CGHS model or Liouville gravity. The action is given by :S = \frac\int d^2x\, \sqrt\, \Phi \left( R - \Lambda \right) The metric in this case is more amenable to analytical solutions than the general 3+1D case though a canonical reduction for the latter has recently been obtained. For example, in 1+1D, the metric for the case of two mutually interacting bodies can be solved exactly in terms of the Lambert W function In mathematics, the Lambert function, also called the omega function or product logarithm, is a multivalued function, namely the Branch point, branches of the converse relation of the function , where is any complex number and is the expone ..., even with an additional electromagnetic field. References Theory of relat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roman Jackiw
Roman Wladimir Jackiw (; born 8 November 1939) is a theoretical physicist and Dirac Medallist. Born in Lubliniec, Poland in 1939 to a Ukrainian family, the family later moved to Austria and Germany before settling in New York City when Jackiw was about 10. Biography Jackiw earned his undergraduate degree from Swarthmore College and his PhD from Cornell University in 1966 under Hans Bethe and Kenneth Wilson. He was a professor at the Massachusetts Institute of Technology Center for Theoretical Physics from 1969 until his retirement. He still retains his affiliation in emeritus status in 2019. Jackiw co-discovered the chiral anomaly, which is also known as the Adler–Bell–Jackiw anomaly. In 1969, he and John Stewart Bell published their explanation, which was later expanded and clarified by Stephen L. Adler, of the observed decay of a neutral pion into two photons. This decay is forbidden by a symmetry of classical electrodynamics, but Bell and Jackiw showed that this symmetr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Claudio Teitelboim
Claudio Bunster Weitzman (; born April 15, 1947) is a Chilean theoretical physicist. Until 2005 his name was Claudio Teitelboim Weitzman. Biography Claudio Bunster attended at Instituto Nacional General José Miguel Carrera, a prestigious public high school of Santiago. Bunster was educated at the University of Chile and Princeton University, where he earned his doctorate in physics in 1973. Bunster has conducted frontier research and taught at Princeton University and at the University of Texas at Austin. He has also been "Long Term Member" of the Institute for Advanced Study at Princeton. Bunster has been Director of the Center for Scientific Studies (CECS) from its inception in 1984. Originally operating from Santiago, in 2000 this autonomous institute moved South of Chile, Valdivia, in the 40S parallel, where the search has expanded and deepened in the areas of life, our planet and the cosmos. In addition to his research in theoretical physics and his work as Director of C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dilaton
In particle physics, the hypothetical dilaton particle is a particle of a scalar field \varphi that appears in theories with extra dimensions when the volume of the compactified dimensions varies. It appears as a radion in Kaluza–Klein theory's compactifications of extra dimensions. In Brans–Dicke theory of gravity, Newton's constant is not presumed to be constant but instead 1/''G'' is replaced by a scalar field \varphi and the associated particle is the dilaton. Exposition In Kaluza–Klein theories, after dimensional reduction, the effective Planck mass varies as some power of the volume of compactified space. This is why volume can turn out as a dilaton in the lower-dimensional effective theory. Although string theory naturally incorporates Kaluza–Klein theory that first introduced the dilaton, perturbative string theories such as type I string theory, type II string theory, and heterotic string theory already contain the dilaton in the maximal number of 10 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
CGHS Model
The Callan–Giddings–Harvey–Strominger model or CGHS model in short is a toy model of general relativity in 1 spatial and 1 time dimension. Overview General relativity is a highly nonlinear model, and as such, its 3+1D version is usually too complicated to analyze in detail. In 3+1D and higher, propagating gravitational waves exist, but not in 2+1D or 1+1D. In 2+1D, general relativity becomes a topological field theory with no local degrees of freedom, and all 1+1D models are locally flat. However, a slightly more complicated generalization of general relativity which includes dilatons will turn the 2+1D model into one admitting mixed propagating dilaton-gravity waves, as well as making the 1+1D model geometrically nontrivial locally. The 1+1D model still does not admit any propagating gravitational (or dilaton) degrees of freedom, but with the addition of matter fields, it becomes a simplified, but still nontrivial model. With other numbers of dimensions, a dilaton-gravity co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Liouville Gravity
In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation. Liouville theory is defined for all complex values of the central charge c of its Virasoro symmetry algebra, but it is unitary only if :c\in(1,+\infty), and its classical limit is : c\to +\infty. Although it is an interacting theory with a continuous spectrum, Liouville theory has been solved. In particular, its three-point function on the sphere has been determined analytically. Introduction Liouville theory describes the dynamics of a field \phi called the Liouville field, which is defined on a two-dimensional space. This field is not a free field due to the presence of an exponential potential : V(\phi) = e^\ , where the parameter b is called the coupling constant. In a free field theory, the energy eigenvectors e^ are linearly independent, and the momentum \alpha is conserved in intera ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physical Review D
Physical may refer to: *Physical examination In a physical examination, medical examination, or clinical examination, a medical practitioner examines a patient for any possible medical signs or symptoms of a medical condition. It generally consists of a series of questions about the pati ..., a regular overall check-up with a doctor * ''Physical'' (Olivia Newton-John album), 1981 ** "Physical" (Olivia Newton-John song) * ''Physical'' (Gabe Gurnsey album) * "Physical" (Alcazar song) (2004) * "Physical" (Enrique Iglesias song) (2014) * "Physical" (Dua Lipa song) (2020) *"Physical (You're So)", a 1980 song by Adam & the Ants, the B side to " Dog Eat Dog" * ''Physical'' (TV series), an American television series See also {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lambert W Function
In mathematics, the Lambert function, also called the omega function or product logarithm, is a multivalued function, namely the Branch point, branches of the converse relation of the function , where is any complex number and is the exponential function. For each integer there is one branch, denoted by , which is a complex-valued function of one complex argument. is known as the principal branch. These functions have the following property: if and are any complex numbers, then :w e^ = z holds if and only if :w=W_k(z) \ \ \text k. When dealing with real numbers only, the two branches and suffice: for real numbers and the equation :y e^ = x can be solved for only if ; we get if and the two values and if . The Lambert relation cannot be expressed in terms of elementary functions. It is useful in combinatorics, for instance, in the enumeration of tree graph, trees. It can be used to solve various equations involving exponentials (e.g. the maxima of the Planck' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
