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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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19 citations
TL;DR: In this article, the origins of the inaccuracies of Schwinger's nonet mass, and the Sakurai mass-mixing angle, formulae for the pseudoscalar meson nonet, were investigated.
19 citations
TL;DR: In this paper, the authors studied the problem of classifying solutions of the static vacuum Einstein equations, on a given closed manifold or an asymptotically flat one, is a long-standing and much-studied problem.
Abstract: The classification of solutions of the static vacuum Einstein equations, on a given closed manifold or an asymptotically flat one, is a long-standing and much-studied problem. Solutions are characterized by a complete Riemannian n-manifold (M, g) and a positive function N, called the lapse. We study this problem on Asymptotically Poincare-Einstein n-manifolds, n ≥ 3, when the conformal boundary-at-infinity is either a round sphere, a flat torus or smooth quotient thereof, or a compact hyperbolic manifold. Such manifolds have well-defined Wang mass, and are time-symmetric slices of static, vacuum, asymptotically anti-de Sitter spacetimes. By integrating a mildly generalized form of an identity used by Lindblom, Shen, Wang, and others, we give a mass formula for such manifolds. There are no solutions with positive mass. In consequence, we observe that either the lapse is trivial and (M, g) is Poincare-Einstein or the Wang mass is negative, as in the case of time symmetric slices of the AdS soliton. As an application, we use the mass formula to compute the renormalized volume of the warped product (X, γ) ≃ (M 3
, g) × N
2 (S
1
, dt
2). We also give a mass formula for the case of a metric that is static in the region exterior to a horizon on which the lapse function is zero. Then the manifold (X, γ) is said to have a “bolt” where the S
1 factor shrinks to zero length. The renormalized volume of (X, γ) is expected on physical grounds to have the form of the free energy per unit temperature for a black hole in equilibrium with a radiation bath at fixed temperature. When M is 3-dimensional and admits a horizon, we apply this mass formula to compute the renormalized volume of (X, γ) and show that it indeed has the expected thermodynamically motivated form. We also discuss several open questions concerning static vacuum asymptotically Poincare-Einstein manifolds.
19 citations
TL;DR: In this article, the soft breaking of N = 2 supersymmetric QCD has been studied and the exact eective potential has been obtained for the SU(2) case. But it is not yet known whether the mass spectrum of the pure SU(N) Yang-Mills theory can be computed.
Abstract: We extend previous work on the soft breaking of N = 2 supersymmetric QCD. We present the formalism for the breaking due to a dilaton spurion for a general gauge group and obtain the exact eective potential. We obtain some general features of the vacuum structure in the pure SU(N) Yang-Mills theory and we also derive a general mass formula for this class of theories, in particular we present explicit results for the mass spectrum in the SU(2) case. Finally we analyze the vacuum structure of the SU(2) theory with one massless hypermultiplet. This theory presents dyon condensation and a rst order phase transition in the supersymmetry breaking parameter driven by non-mutually local BPS states. This could be a hint of Argyres-Douglas-like phases in non-supersymmetric gauge theories. CERN-TH/96-166
19 citations
TL;DR: In this paper, a number of tests are introduced which probe the ability of nuclear mass models to extrapolate and the Duflo-Zuker formula emerges as a powerful predictive tool.
19 citations