MULTIMOMENTUM HAMILTONIAN-FORMALISM IN QUANTUM-FIELD THEORY

被引:4
作者
SARDANASHVILY, GA
机构
[1] Department of Theoretical Physics, Moscow State University, Moscow
关键词
D O I
10.1007/BF00673962
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The familiar generating functionals in quantum field theory fail to be true measures and make sense only in framework of perturbation theory. In our approach, generating functionals are defined strictly as the Fourier transforms of Gaussian measures in nuclear spaces of multimomentum canonical variables when field momenta correspond to derivatives of fields with respect to all world coordinates, not only to time.
引用
收藏
页码:2365 / 2379
页数:15
相关论文
共 11 条
[1]  
BAUDERON M., 1982, ANN IHP, V36, P159
[2]  
Carinena J. F., 1991, Differential Geometry and its Applications, V1, P345, DOI 10.1016/0926-2245(91)90013-Y
[3]  
Gelfand I. M., 1964, GENERALIZED FUNCTION, VIV
[4]  
GIACHETTA G, 1989, INT J THEORETICAL PH, V29, P789
[5]  
GUNTHER C, 1987, J DIFFER GEOM, V25, P23
[6]   ON THE BUNDLE OF CONNECTIONS AND THE GAUGE ORBIT MANIFOLD IN YANG-MILLS THEORY [J].
MITTER, PK ;
VIALLET, CM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (04) :457-472
[7]   THE MULTIMOMENTUM HAMILTONIAN-FORMALISM IN GAUGE-THEORY [J].
SARDANASHVILY, G ;
ZAKHAROV, O .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1992, 31 (08) :1477-1504
[8]   ON APPLICATION OF THE HAMILTON FORMALISM IN FIBERED MANIFOLDS TO FIELD-THEORY [J].
SARDANASHVILY, G ;
ZAKHAROV, O .
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 1993, 3 (03) :245-263
[9]  
Sardanashvily G., 1991, Reports on Mathematical Physics, V29, P101, DOI 10.1016/0034-4877(91)90016-G
[10]   HIGGS VACUUM FROM THE AXIOMATIC VIEWPOINT [J].
SARDANASHVILY, G .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1991, 104 (01) :105-111