Determination of the Parameters of Model Field Theories from Phase Shifts and Bound-States Energies

1966 ◽  
Vol 7 (5) ◽  
pp. 906-915 ◽  
Author(s):  
Luciano Fonda ◽  
Gian' Carlo Ghirardi
Keyword(s):  
Bound States ◽  
Phase Shifts ◽  
Field Theories ◽  
Model Field

scholarly journals CASIMIR EFFECTS IN RENORMALIZABLE QUANTUM FIELD THEORIES

2002 ◽  
Vol 17 (06n07) ◽  
pp. 846-869 ◽  
Author(s):  
NOAH GRAHAM ◽  
ROBERT L. JAFFE ◽  
HERBERT WEIGEL
Keyword(s):  
Density Of States ◽  
Bound States ◽  
Phase Shifts ◽  
Feynman Diagrams ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Scattering States ◽  
Extended Field ◽  
The Continuum

We present a framework for the study of one–loop quantum corrections to extended field configurations in renormalizable quantum field theories. We work in the continuum, transforming the standard Casimir sum over modes into a sum over bound states and an integral over scattering states weighted by the density of states. We express the density of states in terms of phase shifts, allowing us to extract divergences by identifying Born approximations to the phase shifts with low order Feynman diagrams. Once isolated in Feynman diagrams, the divergences are canceled against standard counterterms. Thus regulated, the Casimir sum is highly convergent and amenable to numerical computation. Our methods have numerous applications to the theory of solitons, membranes, and quantum field theories in strong external fields or subject to boundary conditions.

Alternative Formulations of Scattering in Model Field Theories

1965 ◽  
Vol 6 (11) ◽  
pp. 1653-1663
Author(s):  
Harry Gelman ◽  
Kurt Haller
Keyword(s):  
Field Theories ◽  
Model Field

scholarly journals Independent-Cluster Parametrizations of Wave Functions in Model Field Theories

1993 ◽  
Vol 227 (2) ◽  
pp. 275-333 ◽  
Author(s):  
J.S. Arponen ◽  
R.F. Bishop
Keyword(s):  
Wave Functions ◽  
Field Theories ◽  
Model Field
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