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Your search keyword '"Vereshagin, Vladimir"' showing total 2 results
Start Over Author "Vereshagin, Vladimir" Topic renormalization (physics)
2 results on '"Vereshagin, Vladimir"'

1. Two-leg graphs and reducibility in effective scalar theory.

Author

Vereshagin, Vladimir

Subjects
*GRAPH theory, *SCALAR field theory, *S-matrix theory, *RENORMALIZATION (Physics), *GREEN'S functions
Abstract

It is shown that only a part of contributions in the full expression for the (amputated) two-leg graphs in effective single-scalar S-matrix theory can be considered as the self-energy function. This part is uniquely fixed by two requirements: the correct wave function normalization and the true (physical) position of the 2-leg Green function pole. On the one-loop level there is no need in fixing the other unknown constants because they turn out absorbed by the parameters that appear only in one-loop S-matrix graphs with n ≽ 3 legs. This means that the problem of fixing the dimensional coupling constants turns out shifted to the next stage of the renormalization procedure. Also, it is shown that the same is true with respect to the multi-component effective scalar theory. In this case the requirements of diagonalizability and correctness of pole positions turn out sufficient for one-loop renormalization of two-leg S-matrix graphs. [ABSTRACT FROM AUTHOR]

Published
2015
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2. True self-energy function and reducibility in effective scalar theories.

Author

Vereshagin, Vladimir V.

Subjects
*RENORMALIZATION (Physics), *COUPLING constants, *MASS (Physics), *SCALAR field theory, *ENERGY function
Abstract

This is the eighth paper in the series devoted to the systematic study of effective theories. Below, I discuss the renormalization of the one-loop two-leg functions in multicomponent effective scalar theory. It is shown that only a part of numerous contributions that appear in the general expression for a two-leg graph can be considered as the true self-energy function. This part is completely fixed by the values of minimal coupling constants; it is the only one that should be taken into account in the conventional process of the summation of Dyson's chain that results in explicit expression for the full propagator. The other parts provide the well-defined finite corrections for the graphs with the number of legs n > 2. It is also shown that there is no need to attract the renormalization prescriptions for the higher derivatives of the two-leg function on the mass shell; the requirements of finiteness and diagonability turn out to be quite sufficient. [ABSTRACT FROM AUTHOR]

Published
2014
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