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Mass formula
About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.
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TL;DR: In this paper, the authors derived a list of three dimensional symmetric space σ-models obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and scalars.
Abstract: In a previous paper with Gibbons [1] we derived a list of three dimensional symmetric space σ-models obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and scalars. Here we give a detailed analysis of their group theoretical structure leading to an abstract parametrization in terms of “triangular” group elements. This allows for a uniform treatment of all these models. As an interesting application we give a simple derivation of a “Quadratic Mass Formula” for strictly stationary black holes.
47 citations
TL;DR: In this article, it was shown that the Born-Infeld scalar field in two-dimensional space-time and the relativistic string in three dimensions are described by the same non-linear Liouville equation.
Abstract: Using the methods of differential geometry it is shown that the Born-Infeld scalar field in two-dimensional space-time and the relativistic string in three dimensions are described by the same non-linear Liouville equation utt-uxx=R eu. This equation admits soliton solutions which may be stable or unstable, and there are periodical solutions among the stable ones. In the quantum case the solitons can be interpreted as massive particles either stable or unstable with respect to the stability of the corresponding classical solution. The periodical soliton generates a series of resonances which have the equidistant mass spectrum. This result appears to be well suited to the theory of the closed relativistic string. In four dimensions the relativistic string is described by the same Liouville equation, but for the complex-valued function u.
47 citations
TL;DR: In this article, the authors discuss some subtleties in connection with the new attempts to provide a firm basis for ths Witten-Veneziano formula, and discuss some sub-tleties that arise when applying this formula to the Witten and Veneziano formulas.
47 citations
TL;DR: In this paper, the authors use a version of Rayleigh-Schrodinger methods to evaluate the leading non-analytic corrections (LNAC) to first-order chiral perturbation theory.
47 citations
TL;DR: In this paper, a large number of different Hartree-Fock effective interactions were considered and it was shown that the M -coefficient of the droplet-model part of the mass formula is close to zero.
46 citations