FERMIONIC DETERMINANTS FOR CHIRAL-BAG-LIKE 2-DIMENSIONAL SYSTEMS

被引：6

作者：

FALOMIR, H ^{[1
]}

MUSCHIETTI, MA ^{[1
]}

SANTANGELO, EM ^{[1
]}

机构：

[1] NATL UNIV LA PLATA,DIV CIENCIAS EXACTAS,DEPT MATEMAT,RA-1900 LA PLATA,ARGENTINA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 04期

关键词：

D O I：

10.1063/1.528777

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper evaluates the determinant of a Dirac-like operator, for a system of fermions confined to a region of two-dimensional Euclidean space and subject to bag-like boundary conditions. In the framework of the ζ-function regularization method, use is made of Seeley's developments for the resolvent of such operators. A relation is derived between the Green's function and the finite part of the diagonal element of the kernel of the power z of the operator for x = -1, which amounts to having information about the whole Seeley's series. © 1990 American Institute of Physics.

引用

页码：989 / 996

页数：8