Regularization of Propagators and Logarithms in the Background Field Method in Four Dimensions
- Авторлар: Bolokhov T.1
-
Мекемелер:
- St. Petersburg Department of Steklov Institute of Mathematics
- Шығарылым: Том 238, № 6 (2019)
- Беттер: 804-818
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242605
- DOI: https://doi.org/10.1007/s10958-019-04277-y
- ID: 242605
Дәйексөз келтіру
Аннотация
Determinant and higher-loop terms, usually treated by the Pauli–Villars and higher covariant derivatives methods, in the background field method can hardly be regularized simultaneously. At the same time, we observe that introducing a scalar multiplier in front of the quadratic form, which is equivalent to changing the measure in the functional integral, influences only the determinant part of the effective action. This allows one to choose the integration measure and the function in the regularized propagator in such a way as to make all terms in the expansion finite.
Авторлар туралы
T. Bolokhov
St. Petersburg Department of Steklov Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: timur@pdmi.ras.ru
Ресей, St. Petersburg