摘要:

The following two loosely connected sets of topics are reviewed in these lecture notes: 1) Gauge invariance, its treatment in field theories and its implications for internal symmetries and edge states such as those in the quantum Hall effect. 2) Quantisation on multiply connected spaces and a topological proof the spin‐statistics theorem which avoids quantum field theory and relativity. Under 1), after explaining the meaning of gauge invariance and the theory of constraints, we discuss boundary conditions on gauge transformations and the definition of internal symmetries in gauge field theories. We then show how the edge states in the quantum Hall effect can be derived from the Chern‐Simons action using the preceding ideas. Under 2), after explaining the significance of fibre bundles for quantum physics, we review quantisation on multiply connected spaces in detail, explaining also mathematical ideas such as those of the universal covering space and the fundamental group. These ideas are then used to prove the aforementioned topological spin‐statistics theorem. © 1994American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.46854

出版商:AIP    

年代:1994

数据来源: AIP

摘要:

We present an overview of CP violation in the Standard Model and some of its minimal extensions. © 1994American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.46858

出版商:AIP    

年代:1994

数据来源: AIP

摘要:

An introduction to the basic ideas and methods of Chiral Perturbation Theory is presented. Several phenomenological applications of the effective Lagrangian technique to strong, electromagnetic, and weak interactions are discussed. © 1994American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.46859

出版商:AIP    

年代:1994

数据来源: AIP

摘要:

These notes summarize the lectures delivered in the V Mexican School of Particle Physics, at the University of Guanajuato. We give a survey of the application of Ashtekar’s variables to the quantization of General Relativity in four dimensions with special emphasis on the application of techniques of analytic knot theory to the loop representation. We discuss the role that the Jones Polynomial plays as a generator of nondegenerate quantum states of the gravitational field. © 1994American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.46852

出版商:AIP    

年代:1994

数据来源: AIP

摘要:

These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December 1992. They constitute a brief and elementary introduction to quantum symmetries from a physical point of view, along the lines of the forthcoming book by C. Go´mez, G. Sierra, and myself: 1) Introduction. 2) Factorizable S‐matrices. 3) Bethe’s diagonalization of spin chain hamiltonians. 4) Integrable vertex models: the six‐vertex model. 5) The Yang‐Baxter algebra. 6) Physical spectrum of the Heisenberg spin chain. 7) Yang‐Baxter algebras and braid groups. 8) Yang‐Baxter algebras and quantum groups. 9) Affine quantum groups. 10) Hopf algebras. 11) The quantum groupUq(G). 12) Comments. 13) References. © 1994American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.46853

出版商:AIP    

年代:1994

数据来源: AIP

摘要:

Recent results from theepstorage ring HERA and from thee+e−storage ring DORIS II are discussed. Special emphasis is given to the specific layout of the detectors and to the progress in calorimetry achieved in the last few years. The impact of the ARGUS experiment onB‐ and &pgr;‐physics is discussed. © 1994American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.46855

出版商:AIP    

年代:1994

数据来源: AIP

ISSN:0094-243X    

DOI:10.1063/1.46856

出版商:AIP    

年代:1994

数据来源: AIP

ISSN:0094-243X    

DOI:10.1063/1.46857

出版商:AIP    

年代:1994

数据来源: AIP