摘要:

AbstractThis paper presents new examples of the functional‐integral description of nonrelativistic quantum processes. The main point is the development and application of a functional‐integral version which gives an adequate representation of the coherent dynamics of short impulses of light in media. An exact correspondence is received between the physical picture and functional‐integral trajectories as the solutions of Euler‐Lagrange equations with given initial and final conditions. The observed examples demonstrate the powerfulness of the path‐integral method in the functional treatment and will promote the non‐operator representation of quantum mechanics and quantum

ISSN:0015-8208    

DOI:10.1002/prop.2190420702

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

摘要:

AbstractWe analize the algebraic structure of consistent and covariant anomalies in gauge and gravitational theories: using a complex extension of the Lie algebra it is possible to describe them in a unified way. Then we study their representations by means of functional determinants, showing how the algebraic solution determines the relevant operators for the definition of the effective action. Particular attention is devoted to the Lorentz anomaly: we obtain by functional methods the covariant anomaly for the spin‐current and for the energy‐momentum tensor in presence of a curved background. With regard to the consistent sector we are able to give a general functional solution only ford= 2: using the characterization derived from the extended algebra, we find a continuous family of operators whose determinant describes the effective action of chiral spinors in curved space. We compute this action and we generalize the result in presence of aU(1) gauge connect

ISSN:0015-8208    

DOI:10.1002/prop.2190420703

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190420701

出版商:WILEY‐VCH Verlag    

年代:1994

数据来源: WILEY