Functional Determinants for Radially Separable Partial Differential Operators

Acta Polytechnica

G. V. Dunne¹ 

关键词: quantum field theory;    functional determinants;    zeta functions;    spectral theory;    partial differential operators;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

Functional determinants of differential operators play a prominent role in many fields of theoretical and mathematical physics, ranging from condensed matter physics, to atomic, molecular and particle physics. They are, however, difficult to compute reliably in non-trivial cases. In one dimensional problems (i.e. functional determinants of ordinary differential operators), a classic result of Gel’fand and Yaglom greatly simplifies the computation of functional determinants. Here I report some recent progress in extending this approach to higher dimensions (i.e., functional determinants of partial differential operators), with applications in quantum field theory. 

【 授权许可】

Unknown