CASIMIR EFFECTS IN RENORMALIZABLE QUANTUM FIELD THEORIES

• DOI: 10.1142/s0217751x02010224
• Publication Date: 2002-07-27T11:05:45Z
• Authors: NOAH GRAHAM; ROBERT L. JAFFE; HERBERT WEIGEL
• Keywords: High Energy Physics - Theory; Nuclear Theory (nucl-th); High Energy Physics - Phenomenology; Quantum Physics; High Energy Physics - Phenomenology (hep-ph); Nuclear Theory; High Energy Physics - Theory (hep-th); 0103 physical sciences; FOS: Physical sciences; Quantum Physics (quant-ph); 01 natural sciences

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