摘要:

AbstractThe system of a chiral fermion field coupled to a background gauge field is considered. By taking what we call the particle picture and carefully defining theS‐matrix in the Heisenberg picture, we investigate anomalous phenomena in this system. It is shown by explicit calculations that the gauge‐field configuration with nonvanishing topological‐charge causes anomalous production of particles that is directly responsible for the chiralU(1) anomaly. Unlike the chiralU(1) anomaly, the gauge anomaly, that is, gauge non‐invariance of theS‐matrix is a problem that arises in the phase of theS‐matrix. It is shown that this phase is related to the freedom existing in the quantization method, and that a suitably chosen phase which of course is consistent with the equation of motion can remove the gauge anomaly. Finally, a modified form of path‐integral quantization for this syste

ISSN:0015-8208    

DOI:10.1002/prop.2190390802

出版商:WILEY‐VCH Verlag    

年代:1991

数据来源: WILEY

摘要:

AbstractRecent developments in the renormalization group approach to grand unification theories (GUT's) in curved space‐time are reviewed. The new kind of asymptotical conformal invariance in “finite” GUT's in curved space‐time (with torsion) is derived. A discussion of asymptotically‐finite GUT's in flat and curved space‐time is presented. The modifications to the renormalization group in curved space with boundary are given. Some applications of the renormalization group are discussed as well as som

ISSN:0015-8208    

DOI:10.1002/prop.2190390803

出版商:WILEY‐VCH Verlag    

年代:1991

数据来源: WILEY

摘要:

AbstractA stochastic modification of quantum scattering theory is proposed. It states that the final scattering state reduces alternatively to substates corresponding to transitions with or without energy‐momentum transfer. The state reduction at the measuring process comes out as to requir

ISSN:0015-8208    

DOI:10.1002/prop.2190390804

出版商:WILEY‐VCH Verlag    

年代:1991

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190390801

出版商:WILEY‐VCH Verlag    

年代:1991

数据来源: WILEY