P. I. Pronin

One-loop counterterms for higher derivative regularized Lagrangians

Abstract We explicitly calculate one-loop divergences for an arbitrary field theory model using the higher derivative regularization and nonsingular gauge condition. They are shown to agree with the results found in the dimensional regularization and do not depend on the form of regularizing term. So, the consistency of the higher derivative regularization is proven at the one-loop level. The result for the Yang-Mills theory is reproduced.We explicitly calculate one-loop divergences for an arbitrary field theory model using the higher derivative regularization and nonsingular gauge condition. They are shown to agree with the results found in the dimensional regularization and do not depend on the form of regularizing term. So, the consistency of the higher derivative regularization is proven at the one-loop level. The result for the Yang-Mills theory is reproduced.

One-loop counterterms for the dimensional regularization of arbitrary Lagrangians

Abstract We present master formulas for the divergent part of the one-loop effective action for arbitrary (both minimal and non-minimal) operators of any order in the 4-dimensional curved space. They can be considered as computer algorithms, because the one-loop calculations are then reduced to the simplest algebraic operations. Some test applications are considered by the analytical calculation system REDUCE.

Detailed analysis of the dependence of 1-loop counter-terms on gauge and parametrization in Einstein gravity with a cosmological constant

In this paper, the dependence of the Einstein gravity with the cosmological constant as well as of this theory in the first-order formalism on the gauge and parametrization is been analyzed. The one-loop counterterms off the mass shell have been plainly calculated in arbitrary gauge and parametrization. The tensor package of analytic calculations, written in REDUCE, allowed all the calculations to be carried out. A method of renormalization group functions calculations off shell is discussed. PACS numbers: 04.60.-m, 11.10.Gh, 11.10.Hi 1 E-mail: kalmykov@thsun1.jinr.dubna.su E-mail: kirill@theor.phys.msu.su E-mail: petr@theor.phys.msu.su E-mail: stepan@theor.phys.msu.suThe dependence of Einstein gravity with the cosmological constant on the gauge and parametrization is analysed. The 1-loop counter-terms off the mass shell have been plainly calculated in arbitrary gauge and parametrization. The tensor package of analytic calculations, written in REDUCE, allowed all the calculations to be carried out. A method of renormalization group functions calculations off shell is discussed.

Gauge and parametrization dependence in higher derivative quantum gravity

The structure of counterterms in higher derivative quantum gravity is reexamined. Nontrivial dependence of charges on the gauge and parametrization is established. Explicit calculations of two-loop contributions are carried out with the help of the generalized renormgroup method demonstrating consistency of the results obtained.

One-loop divergences of linear gravity with torsion terms

We investigate the role of the torsion field at the quantum level. One-loop counterterms are calculated in the theory with terms quadratic in the torsion field. We have shown that the theory is finite at the one-loop level.

The One-Loop Divergences of the Linear Gravity with the Torsion Terms

We investigate the role of the torsion field at the quantum level. One-loop counterterms are calculated in the theory with terms quadratic in the torsion field. We have shown that the theory is finite at the one-loop level.

One-loop effective action for an arbitrary theory

Using the diagram technique, we obtain formulas for the divergent part of the one-loop effective action for an arbitrary minimal operator in four-dimensional curved space and for an arbitrary nonminimal operator in flat space.

Triviality of function in Chern-Simons theory with matter fields

Abstract We show that in Chern-Simons theory with fermions the function is zero in all orders of loop expansion.

Non-abelian anyons in a non-covariant approach

Abstract Abelian and non-abelian anyons are considered in the axial gauge. A new type of fractional statistics for non-abelian anyons and superselection rules for isospin are discussed.

Bose Gas in Gravitational Field

The Bose gas in an arbitrary curved space-time is considered. A method of construction of the thermodynamic potential of a quantum gas by means of a finite-temperature Greens function is proposed. On this basis the Bose and Boltzmann distributions are derived. The behavior of the chemical potential is investigated. The phenomenon of Bose-Einstein condensation is discussed.