摘要:

AbstractAn elementary introduction to conformal field theory is given. Topics include free bosons and fermions, orbifolds, affine Lie algebras, coset conformal field theories, superconformal theories, correlation functions on the sphere, partition functions and modular invariance.

ISSN:0015-8208    

DOI:10.1002/prop.2190440802

出版商:WILEY‐VCH Verlag    

年代:1996

数据来源: WILEY

摘要:

AbstractThe Lagrangian field‐antifield formalism of Batalin and Vilkovisky (BV) is used to investigate the application of the collective coordinate method to soliton quantisation. In field theories with soliton solutions, the Gaussian fluctuation operator has zero modes due to the breakdown of global symmetries of the Lagrangian in the soliton solutions. It is shown how Noether identities and local symmetries of the Lagrangian arise when collective coordinates are introduced in order to avoid divergences related to these zero modes. This transformation to collective and fluctuation degrees of freedom is interpreted as a canonical transformation in the symplectic field‐antifield space which induces a time‐local gauge symmetry. Separating the corresponding Lagrangian path integral of the BV scheme in lowest order into harmonic quantum fluctuations and a free motion of the collective coordinate with the classical mass of the soliton, we show how the BV approach clarifies the relation between zero modes, collective coordinates, gauge invariance and the center‐of‐mass motion of classical solutions in quantum fields. Finally, we apply the procedure to the reduced nonlinearO(3

ISSN:0015-8208    

DOI:10.1002/prop.2190440803

出版商:WILEY‐VCH Verlag    

年代:1996

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190440801

出版商:WILEY‐VCH Verlag    

年代:1996

数据来源: WILEY