摘要:

AbstractUnlike Einstein gravity, dilaton‐Maxwell gravity with matter is renormalizable in 2 +edimensions and has a smooth ϵ → 0 limit. By performing a renormalization‐group study of this last theory we show that the gravitational coupling constantGhas a non‐trivial, ultraviolet stable fixed point (asymptotic freedom) and that the dilatonic coupling functions (including the dilatonic potential) exhibit also a real, non‐trivial fixed point. At such point the theory represents a standard charged string‐inspired model. Stability and gauge dependence of the fixed‐point solution is discussed. It is shown that all these properties remain valid in a dilatonic‐Yang‐Mills theory withnscalars andmspinors, that has the UF stable fixed pointG* = 3ϵ(48 + 12N – m– 2n)−1. In addition, it is seen that by increasingN(number of gauge fields) the matter central chargeC = n + m/2(0

ISSN:0015-8208    

DOI:10.1002/prop.2190440202

出版商:WILEY‐VCH Verlag    

年代:1996

数据来源: WILEY

摘要:

AbstractGenerally‐relativistic Dirac equation is reinterpreted as an approximation to the more fundamental model based on the quadruplet of Klein‐Gordon particles with the internal hermitian metric of the neutral signature (++−−). Compensating field of the local group U(2,2) of internal symmetries splits under the GL(2, C)‐reduction into gravitational co‐tetrad, Einstein‐Cartan‐Weyl affine connection, and an auxiliary co‐tetrad‐like object. Equation for the matter field shows under the SL(2,C)‐reduction a reasonable correspondence with the generally relativistic Dirac theory. Masses of fermions may be dynamically generated by non vanishing “vacuum” values of geometrodynamical quantities. There is also a convincing correspondence between Yang‐Mills equations for the U(2,2)‐gauge field and the Einstein‐Cartan theory, or more general metric‐affine theories of gravitation. In our approach the tetrad field is neither a reference frame nor a compensating field of translations in originally Minkowskian space, but a p

ISSN:0015-8208    

DOI:10.1002/prop.2190440203

出版商:WILEY‐VCH Verlag    

年代:1996

数据来源: WILEY

摘要:

AbstractThis essay describes the emergence of a mathematical concept, the notion of a quantized field, from the physics of the first half of the twentieth century. The physics involved includes some of the most important developments of the era. The episode can be regarded as another instance of the fruitful interaction of physics and mathematics.

ISSN:0015-8208    

DOI:10.1002/prop.2190440204

出版商:WILEY‐VCH Verlag    

年代:1996

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190440201

出版商:WILEY‐VCH Verlag    

年代:1996

数据来源: WILEY