Abstract
We consider the backreaction problem for a smooth background field depending on one coordinate. We give a reformulation so that the scattering data of the corresponding Schrödinger equation become the independent variables. Using knowledge from the inverse scattering method it is shown that the problem can be reduced to an algebraic one within an arbitrary good approximation. For the simplest case an explicit example is given.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.F. Dashen, B. Hasslacher, A. Neveu, Phys. Rev. D 10 (1974) 4130.
S.G. Mamaev, V.M. Mostepanenko, Sov. Phys. — JETP (USA) 51 (1980) 9;
A.A. Starobinsky, Phys. Lett., 91B (1980) 99.
K. Chadan, P.C. Sabatier, Inverse Problems in Quantum Scattering Theory, Springer-Verlag, 2nd. ed., 1989.
M. Bordag, D. Hennig, D. Robaschik, J. Phys. A: Math. Gen. 25 (1992) 4483.
M. Bordag, J. Phys. A: Math. Gen. 28 (1995) 755.
V.E. Zakharov, L.D. Faddeev, Functional Analysis Appl. 5 (1972) 280.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Bordag, M. (1996). Ground State Energy in Smooth Background Fields. In: Bordag, M. (eds) Quantum Field Theory Under the Influence of External Conditions. TEUBNER-TEXTE zur Physik, vol 30. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-01204-7_25
Download citation
DOI: https://doi.org/10.1007/978-3-663-01204-7_25
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-01205-4
Online ISBN: 978-3-663-01204-7
eBook Packages: Springer Book Archive