RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2017, Volume 465, Pages 61–81 (Mi znsl6531)

Regularization of propagators with background field and their logarithms in $4$-dimensions
T. A. Bolokhov

References

1. B. S. DeWitt, “Quantum Theory of Gravity. 2. The Manifestly Covariant Theory, 3. Applications of the Covariant Theory”, Phys. Rev., 162 (1967), 1195–1239  crossref  zmath  adsnasa
2. L. F. Abbott, “The Background Field Method Beyond One Loop”, Nucl. Phys., 185 (1981), 189  crossref  adsnasa
3. L. D. Faddeev, Separation of scattering and selfaction revisited, arXiv: 1003.4854[hep-th]
4. L. D. Faddeev, Mass in Quantum Yang-Mills Theory: Comment on a Clay Millenium problem, arXiv: 0911.1013[math-ph]  mathscinet
5. L. D. Faddeev, “Scenario for the renormalization in the 4D YangMills theory”, Int. J. Mod. Phys. A, 31:01 (2016), 1630001  crossref  mathscinet  zmath  adsnasa  elib; arXiv: 1509.06186[hep-th]
6. I. Jack, H. Osborn, “Two Loop Background Field Calculations For Arbitrary Background Fields”, Nucl. Phys., 207 (1982), 474  crossref  adsnasa
7. P. Ramon, Teoriya polya. Sovremennyi vvodnyi kurs, Mir, M., 1984, 107  mathscinet
8. A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1988, 34  mathscinet
9. A. A. Slavnov, “Invariantnaya regulyarizatsiya kalibrovochnykh teorii”, TMF, 13:2 (1972), 174  mathnet
10. B. W. Lee, J. Zinn-Justin, “Spontaneously broken gauge symmetries ii. perturbation theory and renormalization”, Phys. Rev. D, 5 (1972), 3137  crossref  adsnasa; “Erratum”, Phys. Rev. D, 8 (1973), 4654  crossref  adsnasa
11. D. V. Vassilevich, “Heat kernel expansion: User's manual”, Phys. Rept., 388 (2003), 279  crossref  mathscinet  zmath  adsnasa; arXiv: hep-th/0306138
12. A. A. Slavnov, “Regulyarizatsiya Pauli-Villarsa dlya neabelevykh kalibrovochnykh teorii”, TMF, 33 \isssue 2 (1977), 210  mathnet  mathscinet
13. C. P. Martin, F. Ruiz Ruiz, “Higher covariant derivative Pauli-Villars regularization does not lead to a consistent QCD”, Nucl. Phys., 436 (1995), 545  crossref  adsnasa; arXiv: hep-th/9410223
14. T. D. Bakeyev, A. A. Slavnov, “Higher covariant derivative regularization revisited”, Mod. Phys. Lett., 11 (1996), 1539  crossref  adsnasa; arXiv: hep-th/9601092
15. W. Pauli, F. Villars, “On the Invariant Regularization in Relativistic Quantum Theory”, Rev. Mod. Phys., 21 (1949), 434–444  crossref  mathscinet  zmath  adsnasa


© Steklov Math. Inst. of RAS, 2026