×

Effective action of composite fields for general gauge theories in Batalin, Lavrov, and Tyutin covariant formalism. (English) Zbl 0901.53054

The authors consider the Batalin-Lavrov-Tyutin (BLT) quantization method in the Lagrangian formulation. Specifically, this paper is devoted to the study of general gauge theories with composite fields. For such theories the authors study the generating functional of vertex functions (effective action) for composite fields. They derive Ward identities and investigate the gauge dependence of the effective action in the framework of BLT covariant quantization. As a cosmological application, a discussion of induced gravitational-vector interaction in the Maxwell theory with composite fields is given.

MSC:

53Z05 Applications of differential geometry to physics
81T13 Yang-Mills and other gauge theories in quantum field theory
81T16 Nonperturbative methods of renormalization applied to problems in quantum field theory
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] DOI: 10.1063/1.526780 · doi:10.1063/1.526780
[2] DOI: 10.1063/1.526780 · doi:10.1063/1.526780
[3] DOI: 10.1063/1.526780 · doi:10.1063/1.526780
[4] DOI: 10.1063/1.526780 · doi:10.1063/1.526780
[5] DOI: 10.1063/1.526780 · doi:10.1063/1.526780
[6] DOI: 10.1063/1.529517 · Zbl 0825.58063 · doi:10.1063/1.529517
[7] DOI: 10.1063/1.529517 · Zbl 0825.58063 · doi:10.1063/1.529517
[8] DOI: 10.1063/1.529517 · Zbl 0825.58063 · doi:10.1063/1.529517
[9] DOI: 10.1016/0370-1573(94)00112-G · doi:10.1016/0370-1573(94)00112-G
[10] DOI: 10.1142/S0217732391002220 · Zbl 1021.81951 · doi:10.1142/S0217732391002220
[11] DOI: 10.1016/0370-2693(92)90654-M · doi:10.1016/0370-2693(92)90654-M
[12] DOI: 10.1016/0370-2693(92)90895-B · doi:10.1016/0370-2693(92)90895-B
[13] DOI: 10.1088/0305-4470/26/21/045 · Zbl 0817.58015 · doi:10.1088/0305-4470/26/21/045
[14] DOI: 10.1016/0370-2693(93)91105-V · doi:10.1016/0370-2693(93)91105-V
[15] DOI: 10.1016/0370-2693(95)00750-F · doi:10.1016/0370-2693(95)00750-F
[16] DOI: 10.1016/0550-3213(95)00512-Q · Zbl 0925.58108 · doi:10.1016/0550-3213(95)00512-Q
[17] DOI: 10.1016/0370-2693(95)00333-G · doi:10.1016/0370-2693(95)00333-G
[18] DOI: 10.1088/0305-4470/28/14/032 · Zbl 0860.58047 · doi:10.1088/0305-4470/28/14/032
[19] Lavrov P. M., Phys. Atom. Nucl. 58 pp 324– (1995)
[20] DOI: 10.1007/BF01017456 · Zbl 0854.58023 · doi:10.1007/BF01017456
[21] DOI: 10.1016/0370-2693(95)01350-4 · doi:10.1016/0370-2693(95)01350-4
[22] DOI: 10.1103/PhysRevD.10.2428 · Zbl 1110.81324 · doi:10.1103/PhysRevD.10.2428
[23] DOI: 10.1007/BF02811226 · doi:10.1007/BF02811226
[24] DOI: 10.1103/PhysRevD.10.3235 · doi:10.1103/PhysRevD.10.3235
[25] DOI: 10.1103/PhysRevD.10.3235 · doi:10.1103/PhysRevD.10.3235
[26] DOI: 10.1103/PhysRevD.41.1647 · doi:10.1103/PhysRevD.41.1647
[27] DOI: 10.1007/BF02099464 · Zbl 0844.53059 · doi:10.1007/BF02099464
[28] DOI: 10.1007/BF02099464 · Zbl 0844.53059 · doi:10.1007/BF02099464
[29] DOI: 10.1142/S0217751X89002211 · doi:10.1142/S0217751X89002211
[30] DOI: 10.1103/PhysRevD.37.2743 · doi:10.1103/PhysRevD.37.2743
[31] DOI: 10.1103/PhysRevLett.75.3796 · doi:10.1103/PhysRevLett.75.3796
[32] DOI: 10.1209/0295-5075/4/2/004 · doi:10.1209/0295-5075/4/2/004
[33] DOI: 10.1016/0370-2693(91)90480-E · doi:10.1016/0370-2693(91)90480-E
[34] DOI: 10.1016/0550-3213(96)00132-0 · Zbl 1003.81569 · doi:10.1016/0550-3213(96)00132-0
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.