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Nonperturbative Mellin Amplitudes

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The majority of renormalizable field theories possessing the scale invariance at the classical level exhibits the trace anomaly once quantum corrections are taken into account. This leads to the breaking of scale and conformal invariance. At the same time ...

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The authors generalize the result of D. Chelkak et al. [C. R., Math., Acad. Sci. Paris 352, No. 2, 157{161 (2014; Zbl 06265643)] to the case when free boundary conditions enter the picture. The proof is related to the rigorous computation of a (dual) bound ...

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In this paper we prove the conjecture of Korevaar and Meyers: for each N≥cdtd, there exists a spherical t-design in the sphere Sd consisting of N points, where cd is a constant depending only on d. ...

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We clarify questions related to the convergence of the operator product expansion and conformal block decomposition in unitary conformal field theories (for any number of spacetime dimensions). In particular, we explain why these expansions are convergent ...

Amer Physical Soc2012

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2012

Design-dependent gauge factors of highly doped n-type 4H-SiC piezoresistors

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This paper presents the experimentally obtained gauge factor (GF) of 4H-SiC piezoresistors, fabricated out of the n-type epitaxial layer and characterized on millimeter-size SiC cantilever beams at room temperature. It was found that the GF is dependent on ...

2012

Scale-Invariant Models of Gravity and Particle Physics and their Cosmological Implications

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Currently, the best theoretical description of fundamental matter and its gravitational interaction is given by the Standard Model (SM) of particle physics and Einstein's theory of General Relativity (GR). These theories contain a number of seemingly unrel ...

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