Proposal to improve the behaviour of self-energy contributions to the S-matrix

• Authors: Gábor Tóth
• Languages of publication: EN

Abstracts

EN

A simple modification of the definition of the S-matrix is proposed. It is expected that the divergences related to nonzero self-energies are considerably milder with the modified definition than with the usual one. This conjecture is verified in a few examples using perturbation theory. The proposed formula is written in terms of the total Hamiltonian operator and a free Hamiltonian operator and is therefore applicable in any case when these Hamiltonian operators are known.

Keywords

EN

scattering theory; S-matrix; self-energy corrections; adiabatic switching

Discipline

• 03.65.Nk: Scattering theory
• 03.70.+k: Theory of quantized fields(see also 11.10.-z Field theory)
• 11.80.-m: Relativistic scattering theory

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 4
• Pages: 527-541

Dates

published

1 - 8 - 2010

online

22 - 5 - 2010

Contributors

author

Gábor Tóth

References

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Identifiers

DOI

10.2478/s11534-009-0139-0