摘要:

AbstractThis paper gives an introduction to the technique of functional differentiation and integration in curved spacetime, applied to examples from quantum field theory. Special attention is drawn on the choice of functional integral measure. Referring to a suggestion by Toms, fields are choosen as arbitrary scalar, spinorial or vectorial densities. The technique developed by Toms for a pure quadratic Lagrangian are extended to the calculation of the generating functional with external sources. Included are two examples of interacting theories, a self‐interacting scalar field and a Yang‐Mills theory. For these theories the complete set of Feynman graphs depending on the weight of variables is deri

ISSN:0015-8208    

DOI:10.1002/prop.2190410102

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

摘要:

AbstractWe give an elementary introduction to the theory of matrix models, as applied to the study of 2 D quantum gravity. Starting from the sum over surfaces, we explain carefully the steps leading to the non‐perturbative solution: discretization, duality, diagram‐counting techniques, 1/Nexpansion, double‐scaling limit, etc. Many examples are worked out in detail, and a pedagogical discussion of the concepts of universality and the non‐perturbative ambiguity is pr

ISSN:0015-8208    

DOI:10.1002/prop.2190410103

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190410101

出版商:WILEY‐VCH Verlag    

年代:1993

数据来源: WILEY