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From Planck to GUT via dimensional transmutation

机译:通过尺寸变换从普朗克到GUT

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Consider a gauge singlet superfield S coupled to a pair of adjoint fields in a SUSY-GUT. If the tree-level vacuum is flat in S, the vev [S] which defines the GUT scale will be determined via dimensional transmutation at a scale M where the soft-breaking (mass)(2) vanishes as a result of running from M-P (8 pi G(N))(-1/2). Because of the large number of adjoint fields N-A coupled to S, one finds that M can be generically close to M-GUT = 2 x 10(16)GeV: M similar or equal to M-P exp[-16 pi(2)log(3/2)/(N-A + 4)lambda(2)], where lambda is a Yukawa similar to 0.7. This work examines the symmetries and dynamical constraints required in a SUSY-GUT in order that the desired flatness in S is achieved, and that this flatness may survive in a supergravity framework. (C) 1997 Elsevier Science B.V.
机译:考虑耦合到SUSY-GUT中一对伴随场的规范单重态超场S。如果树级别的真空度在S处持平,则定义GUT比例的vev [S]将通过尺寸转换为M的尺寸确定,M的软破坏(质量)(2)由于从MP运行而消失(8 pi G(N))(-1/2)。由于存在大量与S耦合的伴随场NA,人们发现M通常可以接近M-GUT = 2 x 10(16)GeV:M类似于或等于MP exp [-16 pi(2)log( 3/2)/(NA + 4)lambda(2)],其中lambda是与0.7相似的Yukawa。这项工作检查了SUSY-GUT中所需的对称性和动力学约束,以便获得所需的S平整度,并且该平整度可以在超重力框架中保留。 (C)1997年Elsevier Science B.V.

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